bs 00350-1꞉1974
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BS 350 : Part 1 :
1974
UDC
611.i
8,3
:
13.081
CONFIRMED OCTOBER
1983
e
Conversion
factors
and tables
I
Part I . Basis of tables. Conversion factors
i.
British Standards Institution
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B S
350
: Part I ; M a r c h 1974
UDC
51 1.168.3
:
3.081
Conversion
fac tors
and tables
Part
i.
asis
of
tables.
Conversion
fac to rs
CONFIRMED
OCTOBER
1983
Amendments issued since publication
Amd. No. Dateof ssue Text affected
4153
July 1983 Incorporated in this standard
British Standards Institution
2
Park Street
.
LondonW1
A
28s
Telephone O1-629
9000
Telex
266933
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BSI B S * 3 5 0 : P A R T * L
BS
350 :
Part
1 :
1974
Contents
Page
Co-op erating organizations Inside front cover
Acknowledgements
2
Foreword 3
Basis
of
tables.
Conversion
factors
Subject table(s)
Associated
1. Number la, l b
2. Leng th 2
3.
Area 3a, 3b
4. Volum e and capacity 4a, 4b, 4c, 4d
5. Modulus
of
section, first
mom ent of area (see 4a)
6. Second moment
of
area,
or
geometrical mom ent
of
inertia
6
7. Plan e ang le 7
8 .
Solid angle
-
9. Time -
10. Linear velocity (speed) 10
11. Angular velocity 11
12. Frequency (see 11)
13. Acceleration 13
14. Mass 14a, 14b, 14c
15. Mass per unit length
15
16. Mass per unit area
16
17.
Sc
surface, or area
per
unit mass 17
18. Area per unit capacity 18
19. Density 19
20. Con centration 20
21. Specific volum e 21
22. Mass rate of flow
22
23. Volume rate of f low
23
24. Traffic factors 24a)
246
25.
Moment
of
inertia
25
26. M omentum (he ar )
-
27. Angular momentum
-
28. Force 28
29. Weight (see 14a, 14b, 14c and 28)
4
5
7
9
15
15
16
17
17
17
19
19
20
20
25
27
30
32
32
34
36
38
38
40
42
42
42
43
45
74 S Lb24bbî O L L b L 2 û O W
Page
30, Moment of force, or torque 30 46
32. Pressure
32a,
326, 32c 48
33. Stre ss (see 32a, 32b, 32c) 54
35.
Viscosity, kinem atic 35 56
36. Energy (work, heat , etc,) 36a, 36b 58
37. Power 37 62
38. Tem perature, including temperature
difference or interv al
38
64
39, Specific energy 39 65
40.
Heat content, volume basis
4Oa,
4ûb,
40c
67
41,
Speciñc heat capacity 41 70
42. Speciñc entro py (see 41) 72
43. Heat capacity, volume basis 43 72
44.Heat
flux
density
44
73
45. Therm al conductan ce 45 74
46. Th erm al conductivity 46 75
47. Th erm al resistivity 47 76
48. Hea t release rate 48 77
49. Th erm al diffusivity (see 35) 77
31, Force per unit length
-
48
34. Viscosity, dynam ic 34
54
Appendices
A. Commentary
on
mperial and metric
78
B. References
B.l
Detailed conversion tables 81
B.2 Gen eral information
83
B.3 Some other British
systems
of
measurement and units
Standards containing
conversion information 83
Figure
1. Fuel consum ption
41
Indexes
1. Alphabetical list of symbols for units
and prefixes 84
2. Gen eral index 88
Acknowledgements
Th e Com mitt ee responsible for this revision acknowledges with th ank s the assistance provided by Mr.
A. C. Hutchinson, C. ng., in the form ative stages of the planning and drafting, and later by Mrs. Pam ela
Anderton of the National Physical Laboratory who gave expert advice and personally checked the tables
of factors.
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BS 350 Part 1
:
1974
Foreword
This standard deals withinterconversion from one unit
of
measurement o another for
a
num ber of quantities
which are
in
general use in engineering, industry and trade. The subjects covered are, broadly, metrology,
mechanics
and heat; th e standard does not d eal with purely electrical units.
BS 350
was first published in 1930, and was revised in
1944
an d again in 1959.
It
was then that the standard
was split into two parts, P art
1
dealing with the basis of tables an d conversionfuctors, and Part 2, w hich
first appeared in 1962, giving
detailed
conversion
tubles
for the more frequently used conversions. From
those tables in Par t 2 conversions could be read off direc t ly or asse ssed by i n t e rpo l a t i on , and t he onus o f i t u j m d l u
mul t ip l ic a t i on by a
six
f igure fac tor was removed. In I967
a
S u p p l e m e n t
(PD
6203) was i ssued
to
Par t
2,
giving
addi t ionat de ta i led tables for
SI
conversions.
BS
350 : P a r t 2 was wi thdrawn in 1981 s ince many o f t he tab l e s
.ilfrfificf/
calcula tors was considered to have m ade suc h tables, which of ten requi red interpo la t ion, obsole te. P D 6203 is,
how ever, sti l l valid and has been retained.
This , then, i s a revision (confirmed on the i ncorpora t i on
of
A m e n d m e n t No.
i
in 1983) of
BS
350
:
Par t 1 : 1959
and provides a compre hensive l is t of conversion fac tors and notes on the i r use . Th e uni ts i n about f i fty quant i t ies
of
me asu rem ent a r e given, together wi th such def ini t ions, and informat ion on th e der iva t ion of conversion fac tors, as
are considered necessary fo r th e purpos e .
The experience gained with th e earlier editions ha s been a reliable guide to the choice of quantities to be
treated
in
this revision. Only information now considered obsolete has been discarded, and the quantities
dealt with
liave
remained su bstantially unehaiiged. There have, however, been consid erable additions made
to
the units, and consequently to the conversion factors, and t he standard has been funda men tally re-
arranged for the reason which follows.
In this edi t ion, wh i le interconversio n fac tors be tween a l l the imp ortant uni ts t rea ted are given, the standpoin t
i ~ . I t i ~ t ~ ~ n s
from which th e var ious uni ts an d conv ersion fac tors a re discussed i s the
SI.
T h i s m a r k s a n i m p o r t a n t d e p a rt u re
ii-Oni the ear l ie r edi t ions which or iginal ly argued from the im peria l system an d la ter perforce adopted a mixed
imperia l -m etr ic s tandpoint . Imperia l uni t s a re be ing progressively discarded an d the i r re tent ion as the stan dpoint in
this s tandard w ould have ac ted as a brak e t o t he p rogre ss o f m e t r i c at i on . Fur the rmore , t he
SI,
unde r t he cus tody of
the Gene ra l Conference of Weights and Measures, forms the prec ise and na tura l basis for conversion informat ion
on uni ts , and on crs f i rm prospects of an interna t ionat harmo niza t ion in uni t prac tice , a f te r which co nversion fac tors
wili no long erbe requi red.
stated accuracy. The other important but extraneous information in it
is
there to help the general user
when he is faced with the need to make conversions. BS 350 does no t pur port to define quantities o r units,
or to standardize the letter symb ok or abbreviations used for units. These matters are dealt with
elsewhere, bu t their m ention
is
necessary here an d has been m ade up-to-date with the latest international
Where factors are given in bold print it is to show that they are exact; in general, factors have been
rounded to include six signiíicant figures, thus perm itting accuracies satisfactory for most p ractical purposes.
The computation of each factor ha s a s far a s possible been m ade from first principles, using eight or m ore
signiñcant figures to m inimize the possibilities of errors in roundin g. By co mp ariso n with previous editions
(including
BS 350 :
Part
2)
deviations by one digit
in
the last signifìcant figure of factors involving the
UK
gallon may sometimes be noticed. These have arisen because the computation in the previous editions was
based on
I
ü K g a l = 4 . 5 4 6 09 dm3. S ince Novem ber 1976 the de f ini ti on o f t h e ga l l on i n t he We igh ts an d Measure s
. A W I ~ I ~ A ~ ~ /
Act 1963 has been
4.546
(19
dm3. Before tha t d a te th e def init ion in t h e w e i g h t s a n d M e a s u r es A c t 1 9 63 w a s s u c h t h at
the ga l lon cou ld be caIcula ted
to
be 4.546 O91 8 79 dm 3 to ten signi f icant f igures and , on advice f ro m the N at ionaI
Physica l Labora tory , a more accu ra te fac tor was used as
a
bas is fo r t he computa t i on i n t he p re sen t ed it ion . T he
re tu rn , i n Novem ber 1976, by p rec i se de f ini t ion t o wha t had ea r l i e r been used a s a n approx im a t ion fo r the va lue o f
th e galion (Le. 4.546 O9 dm3 ) clearly im plies changes, in s om e cases, in the final figure of fac tors inv olving the U K
gal lon and in par t icular , the reversa l of the chan ges as described tha t occu rred be tween the pres ent and th e previous
edi t ions of the standard . Ta ble 23 h as however n ow been correc ted in th is respect. T he six signi ficant f igures given
for conversion fac tors involving the
15 "C
calor ie ace no t warranted by th e accuracy of def init ion of tha t par t icular
un i t , bu t have been re t a ined for t he sake
of
consistent ly in the lay out of the tables.
Six-figure factors are unnecessarily precise for many practical purposes, and will be rounded to fewer
significant figures as appropriate. T he Departm ent of Tra de a nd Industry h as asked users of these tables
to be reminded that conversions for trade purposes should be based
on
the s tatutor y deñnitions of units
in the Weights and Measures Act, 1963. Section
24
of that Act makes
it
an offenoe to
give
sho rt weight or
measure
(or
to
overcharge for t he goo ds supplied if they are offered a t the stated price
per
unit weight or
measure). The conversion factors shou ld therefore always
be
chosen
so
that the rounding
is
in t he customers'
favour, regard being paid to a ny statutory requirement (such as M arking of Goods Regulations) there
may be
in
this respect.
Jirii ifi.i.+
inc luded in it had become in consistent wi th th e Interna t ional System of U n i t s
(SI)
and the increasing use of pocket
Ji r l t iYh3
i $ i t i ) i c . t I f i l f
Ji r i i iWt3
Ji i l i
i W 3
Th e standardiza t ion funct ion of this s tandard I ies in the provision of conversion factors reliable to a
f r u i r l c i i i l t w
J i r l i iW 3
I
\
d t h v i
and
national
decisions, dil l1
I W
Jir l i iY33
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BS 350 Part
I
:
1974
Brit ish Standard
Conversion factors and
tab les
Part 1 . Basis of tables. Con versio n factors
i . Number
1.1
The following preíkes, w ith significance, iianie, and symbol as shown below, are used to d enote decimal
multiples or submultiples
of
(metric ) units. T hese prefixes developed
in
conjunction with the metric system,
and are now authorized as
' SI
prefixes '.
Table
la .
Prefixes denoting decimal multiples or submultip les
To
indicate multiples
To
indicate
submultiples
x 10-1
x
10-2
x 10-6
x 10-12
x
10-18
x 10-3
x 10-9
x 10-15
deci
centi
milli
micro
nano
pico
femto
~
atto
d
m
P
n
P
f
a
C
1.2 Regarding the meaning of million, biilion, etc. the convention shown in Table lb, accords with the
decision of th e 9th General Conference of Weights and Measures, Paris 1948, and is in use in European
countries including the United K ingdom.
Table
ib .
Meaning of million, billion, trillion , etc.
Tenn
million
biiiion
t a o n
quadrillion
Significance
thousand
x
thousand
million x million
million
x billion
million x triilion
Corresponding
decimal factor
106
1012
1018
1024
A different convention is
in
use in the United States of America, where ' miliion signiíies
a
thousand
times a thousand (109, billion ' signifies a thousand times a million
(log),
' rillion ' signifies a million
times a million (1012),and
'
quadrillion
'
signifies a million times a US billion (1015).
In view
of
the differences between European and
USA
practice, ambiguities can easily arise with the
words
'
billion ', rillion
'
and ' quadrillion ', therefore their use should b e avoided.
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e
O
B S
350
Part I : 1974
Length
2. Length
2.1 The
SI
unit of length is the met re (symbol m). I t is one of the base units of the S1 and is now defined in
terms of a specified number of wavelengths of a particular a tom ic radiation, a s given in
BS 3763,
NOTE. The titles of BS
3763
and all other British Standards referred to in this text
are
listed
on
the inside back cover.
2.2 Multiples and submultiples of the metre are formed by using any
of
the
SI
prefixes given a t 1.1;kilometre
(km), decimetre (dm), centimetre (cm), miliimetre (mm) and micrometre (pm) are common examples. An
alternative term for the micrometre, abrogated by the CGPM but
s t i l l
in common use, is ‘micron
’.
The
symbol
p,
associated in the past with the micron,
is
incorrect; pm should be used.
2.3
Some units of length having associations with the metric system but not forming part of the S I are:
i
angström (A) = 10-lOm Refer to
note
1 international nautical mile (n mile) = 1852 m
1
astronomical unit (AU)
= 1.496
x 1011 m 1
1 parsec (pc) =
3.0857
x 1016m 2
1 light year
(1
y.)
= 9.4605 x 1015m
3
2.4 The definitive
U K
(or imperial) and US unit of length
is
the yard, legally deíined (since
1959
in the
USA and since
1963
in the UK) as follows:
2.5 The connection between m ultiples and submultiples of t he yard is indicated in the foliowing traditional
table of named UK and US units of length, defined (for the UK) in the Weights and Measures Act, 1963.
Refer
to
note
4
1
yard = 0,9144 m
(1 in
=
0.0254
m)
= 0.3048m)
(1 yd
= 0.9144
m)
1 foot (ft) =
12
inches (in) (1
f t
1
chain == 22 yards (yd) (1 chain =
20.1168
m) 5
1
yard (yd)= 3 feet (ft)
I furlong = 10 chains
(1
furlong = 201.168 m)
1 mile =
8
furlongs (1 mile = 1609.344 m) 6
1 micro-inch (pin)
Refer
to
note
1
thou = 10-3 in = 25.4 pm = 25.4 x 10-6 m 7
1 mil = 10-3 in = 25.4 pm = 25.4
x 10-6 m
8
1
point
- in
(approx)
= 0.351 mm
(approx)
9
1
iron
-
Ain = 0.529 167 itîm 10
1
line
- 1
in
=
0.635
11
1
line or ligne
-
& i n
=
2.116 671111i11
12
2.6 Some less usual, or mo re specialized,
UIC
and
US
named units of length are:
=
10-6
in =
0.0254
pm =
25.4 x
10-9 m
-
1em
-
1
in
=
4.233 33
mm
13
1hand
=
4 i n
=
10.16
cm 14
=
0,201 168 mlink
1
US survey foot _ - . iDA9B f t
e
38.87
8
= 0.304 801
m
1
fafhom
y =
6 f t
=
1.8288 m
1 rod, pole, or perch
= 5+
yd
= 5.0292
m 15
1 engineer’s cha in = l oo f t = 30.48 m
1 cable-length
- -
16
1
U K
nautical mile
=
6080
ft
=
1853.18m
17
1 telegraph nautical mile = 6087 ft
chain = 0.66 ft
-
= 1855.32 m
Notes on section 2
I. Approximalely th e mean distance between the S un and the Earth.
2.
The distance at which
1
AU subtends an angle of
1
second
(1‘7.
3.
Approximate distance travelled by light in
1
year.
4.
An exception is the US survey foot, shown in 2.6.
5. Th e legally defined chain, commonly called Gunter’s chain in the US A.
6.
Also known as
a
statute mile. There
is
no recognized abbreviation for mile and the complete word ‘ mile ’ s used as the
7.
Colloquial, for one-thousandth of an inch,
8.
Colloquial, for one-thousandth
of
a n inch.
For
ot ier
meanings
of mil see 3.54.4 and (Note
2) of
section 7.
9. Printing trade. (Originally defincd by 83 picas- 83 x 12 points = 35 cm).
10. Boot and shoe trade.
11. Button trade.
12. Watch trade.
13.
Printing trade.
14.
Height
of
horses.
15.
Obsolete.
16. A
nautical term not precisely defined
in
the
UK. In
ifs most general concept
it
isequal to on e-tenth of a n unspecified nautical
mile, but other values have been used, including the value 120 fathoms (720 ft).
17.
Obsolescent as the interiiational nautical mile becomes adopted
in
the
UK.
Foreonversion factors for a number of widely-used units of
length
see Table 2.
iinit symbol.
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B S I
B S * 3 5 0 :
P A R T r L 74 m
L b 2 4 b b î
O L L b L 2 4 B m
BS 350 Part I
:
1974
Length
I
9,
o
7 4
a
2
t-
2
a
w
1
II
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3.
Area
(length squared)
3,1
The coherent SI unit of area is the square metre (symbol m2), a derived unit.
3,2
Areas are also expressed in terms of the squares
of
any
of
the multiples and submultiples of the metre
formed by the use of the Si prefixes, e.g. squa re millimetre (mm2), square centimetre (cmz), square decimetre
(dm2), square kilom etre (km2),
i n
accordance with the rule concerning prefixes attached to units raised to
a
power, the relationship
between each of these and the square metre
is
as follows:
l d m * -
(z)
=
10-2
in*
I
km2
=
( i O 0 0 n 1 ) ~
=
106m*
1 a = 100m2
This, an d m ore especially its multiple the hectare (symbol ha), are used fo r land m easurem ent of area.
Ano ther specially named m etric unif is the barn, used
in
atomic physics in the measurement
of
cross
1 barn
= 10-28
m?
3.3 A
metric unit with a special name is th e are (symbol
a),
1
ha =
1ûOa =
1OO00m2
sections.
3.4
The connection between various traditional UK aiid US units of area, and their relationship to the
square metre, are as foüows:
Refer to note
I
square fo ot (ft2)
=
144 square inches (in21 (1 in2
1
square yard (yd2)
=
9 squ are feet (1 ft2 =
0.092
903 O m2)
1 rood
=
1210 square yards (1 yd2
= 0.836
127 m2)
1
1 acre
= 4
roods = 4840 square yards
(1
rood = 1011.71 m2)
(1 acre
=
4046.86 m2)
1
square mile (mile2)
= 640
acres
(1
mile2
=
2.589 99 x 106
m*)
=
6.4516
x 10-4 m2)
3.5
A specialized UK and U S unit of are a (used in connection with sections of wire) is the
'
circular inil '.
1
circular
mil
=--=
7.853
98
x 10-7 in2
= 5.067 07 X
10-10 m3
Refer to note
2
Notes
on section 3
I , The
rood is
obsolescent in the UK and rarely used in the
USA.
2.
The circular mil has an are a equal to tha t of a circle one-thousand th of an inch in diameter.
For
other meanings of mi l see
2.6, 4.4
and section
7 ,
Note 2.
For
conversion facto rs for
a
number
of widely-used
uni ts of area
see Tables 3a and 36.
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BS
350
Part 1 :
1974
A’rea
P
s
8
a
X
VI
c.l
m
f
W
51
m
X
O
2
m
-
m
o,
2
3
d
X
JaA
-
I
E
57%
SI
8
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B S
350 Part 1
1 circular mil* _ _
_
1 square millimetre =
1
square inch -_
mm2
-_
in2
Volume and
circular mil
square
millimeíre
square inch
mm*
in*
1
5.067 07
x
10-4 7.853 98
x
10 -7
1973.53
1
1.550
0 0 ~ 1 0 - 3
1.273 24 x
106
645.16 1
: 1974
Area
capacity
4. Volume and capacity (length cubed)
4.1
The coherent
SI
un it of volum e is the cub ic metre (symbol m3),
a
derived unit.
4.2
Volumes are also expressed in terms of the cub es of any of the multiples and submultiples of the metre
formed
by
the use of the
SI
prefixes; of these the cubic decimetre (dm 9, the cubic centimetre (cmj), and the
cubic millimetre (mm3) are c om mon examples.
The relationship between each of these and the cubic metre is as follows:
3
1
mm3
=
6)10- 9m3
4.3
Iii the SI no distinction is drawn between units of volume and units of capacity. However, a metric
uni t with a special name, used in conjun ction with the SI and com monly used for the measurement of liquids
and fluids, is the litre (symbol i?).
1
litre
= 1
dm3
= 10-3
m3
(This definition has applied in the SI ince 1964, but see
4.3.1
below.)
The
SI
prefixes are used with the litre, leading for example to t he hectolitre (hl), cen tilitre (ci), millilitre
(mi) and micro litre (pi).
1
hl
=
100 litre =- 10-1
ni3
1 ci -=
(&)litre
= 10-srm3
i ml =
(&)litre =
10-6
m3 = i
cm3
I
pl
- - (&)litre -=
10-9
ln3 --
1
mm3
4.3.1
Units of capacity for the measurement of liquids (and sometimes of dry go ods also) have been treated
as
base units at various times in th e past, an d have
been
defined independently of length. Thu s in the m etric
system f rom 1901 to 1964 the litre was defined as the vo lume occupied by a mass of on e kilogra m of water
tAlfhough in this standard the symbol used for the litre is the lower case letter
‘I’,
it has long been recognized that
in
some Asamende
typefaces it was difficult to distinguish between the lower case letter ‘1’ and numeral
1.
Th e 16th General Conference of Weights
Jtrb19*3
and Measures (1979) accordingly recognized the use of the upper case letter ‘L‘ as an alternative symbol for the litre. In British
Standards
‘L‘
s now the preferred symbol but
‘I’,
which is still widely used, is recognized as acceptable. See
also
BS
5 5 5 5 .
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BS 350 Part I : i974
Volume
and
capacity
under specified conditions (at its temperature
of
maximum density and uiider a pressure of one standard
atmosphere). Since 1964. however, the litre has been re-defined within the SI as a special name for the
volume of one cubic decimetre (which is
as
it was before I901). Since
1
November
1976,
the 1964 definition has
been embodied within the law of {he United Kingdom. Because
of
these changes, where
a
very
high
degree of
/ Y , t I
precision is called for,
it
is necessary
to
establish which definition
of
the litre is intended.
In
the tables which follow
in
this standard
a
litre
as
defined according to the 1901 definition
is
described
as
the 'litre
(ISOI)',
and the litre
as
it is
now defined according
to
the SI is described simply
as
the 'litre'.
1 litre (1901)
=
1.ooO 028 litre
4.4
In the French timber trade the volume of one cubic metre goes under the obsolescent name ' stère
'
(symbol st). Similarly,
in
the timber trade in Ge rman y the cubic metre has been described as the
'
Festmeter
(Fm) or
'
Raummeter
'
(Rm), nd these two special name s are als o obsolescent.
Another obsolescent metric-based volume unit
is
the
'
mil
',
used
in
the
UK in
pharmaceutical work,
particularly for prescriptions, to denote a millilitre (see British Phormncopoeia, 1953). For other meanings
of '
mil
'
see
2.6,
3.5, and section
7,
Note 2.
4.5
The connection between the traditional UK and
US
iiiiits
of
volurne and their relationship to the
cubic metre are as follows:
Syml>ol
Unit Metric equivalent
yd3 I cubic yard =: 27 cubic feet = 0.764 555 m3
ft3 1 cubic foot
=
1728 cubic inches
=
0.028 316 8 m j
in
3
1 cubic inch
= 1.638 71 x 10-5
1113
4.6
As with th e litre in the metric system, it is customary to regard certain U K and
US
volumetric units as
units
of
capacity. These include the
UK
gallon and its multiples and submultiples, and the US gallon and
US
bushel, with their multiples and submultiples. The
UK
and U S units of capacity differ markedly
from
each other* an d it is therefore imp ortant to avoid confusion in their use. The prefixes U K and
US
are
used
for purpose of their identification in this standard but the qualifications
U K
o r
U S
are frequently omitted
in practice. Care is particularly necessary with conversions of the gallon in order to identify which gallon
is concerned.
4.6.1 UK
units qf cnpacity. These are all based on the UK gallon (UKgal), defined in Schedule
1
of the
Weights and M easures Act, 1963, as the space occupied by
10
pound s weight of distilled water under certain
conditions specified in the schedule.
Key conversion factors are
:
YX.J
1 UKgal = 4.546 09 dm3
=
4.546
O9
litre
=
4.545 96 litre (1901)
WKmin
U K
f l
d r
UK fl oz
UKpt
UKqt
UKgal
-
The connection between the U K gallon and its various multiples and sub niultiples is shown
in
the I'ollowing
list:
Symbol if any) Unit Metric equivalent
minim t
= 0.059
193
9 cm3
fluid drachm t
= 60
minim
L 3.551
63 cm3
fluid o unce
=
8 fluid drachms
=
28.4131 cm3
gill
= 5
fluid ounces
=
0.142 065 dm 3
pint = 4 gills
(= 20
fluid ounces) = 0.568 261 dm3
quart
=
2 pints
=
1.13652dm3
gallon
=
4 quarts
(= 160
fluid ounces)
=
4.546
O9
dm3
- 1 peckf = 2 gallons
1
busheit
=
4pecks
=
9.092 18 dm3
= 36.3687dm3
4.6.2
U S
units ofcapaci ty .
The US units of capacity are defined
in
terms of
a
specified number
of
cubic
inches. The U S gallon is equal in volume to 231 cubic inches and
is
used for the measurement of liquids
only. The US bushel is equal
in
volume to 2150.42 cubic inches and is used for the measurement of dry
commodities only.
* For a direct comparison of U K and U S units of capacity see Table 4d
and it
is now
llegal to use these units for trade purposes.
I The m inim, fluid drachm,
peck
and bushel are
now
deleted from Schedule
1
to the
UK
Weights and
Measures
Act,
1963;
10
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I
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B S I
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74
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B S 350 Part I : 1974
Volume and capacity
W
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t-
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BS
350 Part I
:
1974
Volume and
capacity
e
i
3
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m
c;
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8
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B S I B S * 3 5 8 : P A R T * & 74
E
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B S 350
Part 1 : 1974
Volume and capacity
c
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in
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BSI
B S 8 3 5 Q s P A R T * L 7 4
b 2 4 b b 9
R L l b L 3 3 9 -~
~~~
~-
_ ~
~
üS 350 Part 1
:
1974
Volume and capacity
Modulus of sect ion
Second moment o f area
Table 46.
Relationship.between UK (imperial) and
US
units of capacity
1
UK minim
=
0.960
760
US minim
1
UK luid drachm
= 0.960 760 US
luid* dram
1
U K
fluid ounce
=
0.960 760
US
luidf ounce
1 U K gill
=
1.20095US gill
1
UK pint =
1.20095
US
iquid pint
I UKq u a r t
= 1.200
95 US iquid quart
1 UK
gaiion
=
1.200 95 US gaiion
1
UK pint
=
1,032
6 US
dry pint
1 UK quart
=
1.03206US dry quart
1 UK
bushel
=
1.032 06
US
bushel
1
US minim
= = 1.040
84
UK
minim
1
US fluid' drain
=-z 1.040 84UK
fuid drachm
1 US fluidt ounce = 1.040 84 UK luid ounce
1
US gill
=
0.832 674
UK
ill
1 US
liquid pint
=
0.832 674
UK
int
1 US iquid quart
=
0.832 674 UK uart
1
US gaiion 0.832 674 UK gallon
1
US
dry pint = 0.968 939 UK int
1
US
dry quart
=
0.968 939
UK
uart
1 US
ushel =
0.968 939 UK
bushel
1 UKp e c k
=
1.03206
US
peck
1 US peck
=
0.968 939 UK eck
* Sometimes also known as the liquid dram in the USA.
t
Sometimes
also known as
the liquid
ounce n
the
USA.
1 m 4
=
l c m 4
=
1 ft4
=
--
o
m4
1
1 x 10-8
0.863 097 x 10-2
5.
Modulus of section, f irs t moment of area
5.1
These quantities have the sam e dimensions as volume; the coherent
SI
unit
is therefore the metre
cubed (m3).
5.2
They may also be expressed in terms of thetcu be of any suitable submultiple of the metre; the
centi-
metre cubed (cm3) and millimetre cubed (mm3) a re comm only used.
5.3 In imperial units the foot cubed (ft3) or inch cubed (in3) are usually used.
The relationship between
the
above-mentioned uniís can be seen or inferred
from
Table 4a.
6. Second moment of area, or geometr ical moment of inertia
The coherent
SI
unit for this quantity is the metre
to
the fourth (m4). Other commonly
used units
are the
centimetre to the fourth (cm41 and millimetre to the fourth (mm4) and, in imperial units, the foot to the
fourth (ft4) and inch to the fourth (in4). See Table 6 or conversion factors for these units.
Table
6.
Second moment o f area
1 in4 = I 41.6231 x 10-8
NOTE. 1 mm4
=
10-4
cm4 = 10-12
m4.
I 1
1 x 108 115.862 2 402 510
1.15862
x
10-6
863
097
41.6231
I
4.822 53
x
10-5
I
1
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.
BSI
BS*350: P A R T * i I 74 1624669
OiI16134
O
BS 350 Part
I : 1974
Plane angle
7. Plane angle
7.1 The coherent SI unit of plane angle is the radian (symbol rad), a supplementary" unit. It
is
the angle
between two radii
of
a circle which c ut off on the circumference an a rc equal in length to the radius.
Thus a complete circle subtends an angle of 2n: rad at its centre, and a riglit angle (L) equals
2x
x
-rad = - ad.
4 2
7.2 Angular units
of
such practical importance that they a re retained for general use in conjunction with
the SI are the traditional units degree
( O ) ,
minute ('), second (").
The full circle subtends an angle of 360 degrees (360') a t its centre,
and
thus the right angle
(L)
=
90
degrees (90 O).
x
1 degree (1
O)
= 60 minutes (60') = -rad
180
rad
60
i<
180
minute
(I')
= 60 seconds
(60") =
1
second
(1")
I C
-
3600
x
180
rad
It is often convenient to express sub-divisions of the degree in decimal form, rather than to use minutes
and seconds.
7.3
A unit of plane angle used in so me continental countries is the grade (3 or, as it is called in Germany,
the gon. This is a one-hundredth of a right angle.
x
lo (or 1
gon)
= 0.9" - rad
-
200
Notes
on section 7
1. Note the possibility of confusion between the hundredth part of a grade in angular measure and the terni Centigrade (cor-
rectly called Celsius) in connection with temp erature,
2. The unit
'mil
' s sometimes used
in
connection with angular measure. For sonie purposes the angular mil is taken
to be
one thousandth of a radian
(10-3
rad), which is equivalent to
3'26.25".
There is, however, anuther concept i i i which an angular
mil is equa l t o 3 60/6400 degrees ¡.e.
3' 22.5".
For other meanings
of
'
mil
'
see
2.6, 3.5,
and
4.4.
3.
In English there
is
no com monly used expression for the
'
ull angle
'
siihiended by
a
circle.
In
German the terni
'
Vollwinkel
'
is used.
For interconversion factors for the units mentioned in 7.1,7.2 and
7.3
see Table
7.
Table
7. Plane
angle
Exact values are printed in bold type.
radian
rad
1
radian -
rad
i ight angle
= 1.570 80
1 degree
=
0.017453 3
0
1minute = 2.908 88 X 10-4
1
second
=
4.848 14x10-6
1
grade
(or
gon)
= 0.015 708
O
P gon
right angle
L
0.636 620 57.2958
I
I l
.011 111 1
1.851 85 x1 0- 4 0.016 666 7
I
3.0 86 42 ~1 0- 6 2.777 78x10 -4
0.01 0.9
minute
,
~ I
437.75
5400
6 0 .
1
0.016
666
7
54
second
,,
206 265
324 O0 0
3600
60
1
3240
grade (or gon)
P gon
63.6620
..
____
100
1.111
11
1.851
85
x 10-2
3.086 43 x 10
-4
1
In
October
1980
the International Co mmittee of Weights and M easures decided to interpret the class of suppleme ntary units in
he Intemational System
as
a class of dimensionless derived units for which th e General Conference of Weights and Measures
leaves open the possibility of using these or not in expressions ofderived units of the International System.
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8. Solid angle
BS 350 Part
1 :
1974
Solid angle
Time
Linear velocity
The coherent unit
of
solid angle, the only unit in common use for
solid
angle, is the steradain
(symbol sr), a su pplem entary * unit. I t is the solid angle which, having its vertex a t the centre of a sphere,
cuts
off
an a rea of the surface of the sphere equal to that of a square with sides of length equal to the radius
of the sphere.
9. Time
9.1 The SI uni t of time is the second (symbol s), a base unit.
It is
now defined as the du ratio n of a specified
nuniber of periods of a particular atomic radiation; for details see BS 3763.
9.2 Prior to 1967 the second was defined as a speciiìed fraction of the time taken by the Ea rth to comp lete
a particular orbit of the Sun. (This second, the ' ephemeris second ', is retained fo r use as a special unit
in astronomy, and is as nearly equal to the SI unit as the highest precision of measurement could permit
in 1967.)
9.3 Other units
of
time
of
such practical im portance tha t they are retained for general use in conjunction
with the
SI
are:
minute (min)
hour (h)
I
h
=
60
min
= 3600
s
A
comp lete sphere subtends a solid angle
of 4n
sc
at its centre.
1
min = 60
day (d) I d
= 2 4 h = 8 6 4 0 0 ~
9.4 Longer du rations of time are conveniently expressed in terms of the week, month
or
year, but the last
two
of these cannot in general
be
explicitly related to the second (of time).
l we e k
=
7 d
=
604800s
1 Month = 28, 29, 30 or 31 days (according to calendar)
1 yearf
= 12 months
= 365 or 366
days (according t o calendar)= 8760
h
or
8784
h (according to calendar).
.qrnJllt. il
J11[r IYX3
Notes
on section 9
1.
Th e only tim e unit commonly used in conjunction with the
SI
prefixes is the second;
e .g
the submultiples millisecond
(nu),
inicrosecond
(cis)
and nanosecond (ns) which are in wide technolog ical use.
2. The symbol a ' s used for year.
3.
Th e scale of International Atomic T ime
(TAI),
based directly on the atomic radiation defining the second, is maintained by .+
U < / M
the Bureau International de l'Heure (BIH) in Paris. Legal time in the U K, as in most countries, is based on
a
related scale, that of J d i . I 5 8 3
Co-ordinated Universal Time (UT C), broadcast by an international network of radio stations. U TC is defined in such a manner
that it differs from TA I by a whole number of seconds. Th e difference UTC -TA I was set equal to
-
IO s
on
1
January
1972,
the
date ofapplication of th e reformulation of UT C (which previously invoived a frequency offset).
Th is difference can be changed in steps of
1
s, but the use of a positive
or
negative leap second at the end of a month of UTC,
preferably in the first instance at the end of December or of June, and in the second instance at the end
of
March or ofSeptember,
to keep U TC in agreement with th e time defined by the rotation of Earth with an ap proximation better than
0.9
s. On 1 January
1981 the difference UT C-T AI was
-
19 s. in fact, the legal times ofm ost countries are offset from U TC by a whole number of
hours (because of time zones and 'daylight saving' arrangements).
I . Linear velocity (speed) (length/t ime)
10.1 Th e coherent SI unit of linear velocity is the metre per second (symbol m/s), a derived unit.
10,2
Multiples and submultiples
of
the metre per second are formed
by
using any of the
SI
prefixes in
conjunction with the metre.
10.3 A metric unit often used for speed is the kilometre per hour (km/h).
1
km/h = 0.277 778 m/s
10.4
Va rious speed units used
in
the imperial system are:
foot
per
second
1
ft/s
= 0.3048
m/s
inch per second
1
in/s
0.0254
m/s
foot per minute
mile per ho ur i
The international knot (kn) is metric-based, being equat to o ne international nau tical mile per hour.
1
kn
= 1852
m/h
= 0.514444
m/s
The
UK
knot is imperial-based and obsolescent, k i n g equal to one
UK nautical
mile per hour.
1
UK knot = 6080 t/h =
0.514
773 m/s
1
ft/min =
0,005 O8
m/s
1 mile/h
=
0.447 04 m/s
10.5 The knot, one nautical mile per hour, is a unit used for speed in nautical and aeronautical contexts.
Por
interconversion factors
for
the above units see fable 10.
*
In October 1980the International Co mmittee
of
Weights and M easures decided
to
interpret the crass
of
supplementary units in
.Jslmettdtv/
the In ternational System as
a
class of dimensionless derived units for which t he G eneral Conference of Weights and Measures
Jir i . IY*3
leaves open th e possibility ofusing these or no t in expfessions ofderived un its of th e International System.
t
The
year
referred t o here
is
the ' d e n d a r
y
Calendar adjustments are based on he ' ropical
year
', the t iT e interval
between two consecutive passages (in the sam e direction) of the Sun hrough the Earth's equatorial plane, In
1900
the duration
of
the
'
ropical year 'was
365.242 198
78 d a nd it is decreasing at the rate of
6.14
x
10-6
days
per
century.
$ Traditionally indicated by
the
abbr eviati on m.p.h.
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B S I
B S * 3 5 0 : P A R T * &
74 m L b 2 4 b b 9
O l L b i 1 3 b 4
m
S
350
Par t I : 1974
velocity
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B S I L S * 3 5 0 { PAR T 8 3~
~ 74
m
3624669
0336137
=-
~
BS 350 Part
I :
1974
Angular velocity
Frequency
11.
Angular velocity" (angle/time)
11.1
The coherent
SI
unit of angular velocity is the radian per second (rad/s), a derived unit.
11.2 Other units used are:
radian per minute (rad/min)
revolution per minute
revolution per second
degree per minute ( Imin)
degree per second
Is )
(revlmin) o r (r/min)
(revis)
or
(rid
For interconversion factors for the above units see Table 11.
Table 11. Angular velocity and veloci ty of rotation
Exact values ar e prinfed
i i i
bold type
second minute
rev/min
60
9.549 30
_l l
1
0.002 652 58 0.159 155
radian per
second
md/s
- - -
- - - _
1
radian
pcr
sccond
1
radian per
miiiiice
= 0.016
66U 7
=
=
~
1
radis
radlniin
I
57*2958
I
1
revolution per second
= 6.283
i9
376.991
1
rcv/s
rev/niin
1 rcvolution
per
minute = 0.104 720
6.283 19
0.016666
7
I degree per
secoiid
= 0.017 453 3 1.047 20 0 002777 78 0.166
667
Is
2.908
8 8 x 1 0 4 0.017 453 3 4.629 63
XlO-5
2.777
78x10-3
0.016 666
7
=I l
l
I
degree
per minute
"/ni in
12. Frequency
(numberJtime)
degree
per
minute
'/min
3437.75
57.2958
21
600
360
60
1
12.1 The
coherent SI unit
of
frequency (of
a
wave or periodic phenomenon)
is
the hertz (symbol Hz ,
a
derived unit with a special name. Formerly in this cou ntry th e h ertz was called the cycle per second (CIS).
Expressed in terms of base units of the SI both the hertz and th e cycle per second are the inverse second
i.e,
- or s
-1).
12.2 Th e coliereiif
SI
unit of rotational frequency (e.g. a frequency associated with th e mechanical rotation
of a shaft) is also th e inverse second, i.e.
-
or s
-1). It
is commonly known as the revolution per secoiid
(re;/s or
r/s).
12.3
Another very commoiiíy used unit
of
rotational frequency
is
the revolution
per
minute (revlmin or
r/min, b ut traditionally indicated by th e abbrev iation r.p,m.).
1
S
1
S
1
60
iev/min
= -
ev/s
1 1
60s 60
(in SI terms) - r - -1
12.4
Corresponding angular velocities are obtainable from Tab le 11using 1 rev,ís as corre spon ding to
1
Hz,
1
-
or s-1.
S
NOTE. See also the note under secfion
11,
Angular velocity.
*
Thc terms
'
otational velocity',
'
otational speed
'
and
'
peed of rotation ' ar e commonly used as alternative terms for
aiigulat velocity, but are
also
often thought of as a frequency, particularly when being expressed in revolutions per minute,
or
per
second. When frequency is
meant,
the revolution should not
be
identified with an de
as
it is
9 0
identified
in
Table
11
(1
revolution
= 2
IC radians = 360 O), but should be thought of as
a
number, and a clearer
f e r n
for expressing
this
concept
is
'
otational frequency
.
(See also section
12,
Frequency,)
19
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B S I
B S * 3 5 0 :
P A R T * L
74 m Lb24bbî O L b b & 3 8
8
m
BS
350
Part 1 : 1974
Acceleration
M a s s
13. Acceleration
(length/time squared)
13.1 The coherent
SI
unit of acceleration is the metre per second squared (symbol m/s2), a derived unit.
13.2 The centimetre per second squared (cm/s2), a submultiple of the above, is also called the galileo or
gal (symbol Gal).
1 Gal = 1 cm/s2 = 10-2 m/s2
A unit tha t has been comm only used in geodesy is the milligal (mGal).
1 mGal
= 10-3
Gal = 10-5 m/s2
1 ft/s2 = 0.3048 m/s2
13.3 The most-used unit
in
the imperial system for acceleration is the foot per secoiid squared (ftls2).
13.4 The standard acceleration
of
9.806
65
m/s2 plays an important part in the definition of certain
iinif
in the olde r technical systems. When the acceleration of free
fall
has
this
value the terin ' standard gravity '
is used, the associated sym bol for this qua ntity being g .
The acceleration due to gravity is sometimes used as a unit of acceleratioii, an d called ' g , particularly
in
aeronautical engineering and centrifuge technology. For the sake of precision the standard value
9,806
65
m/s2 should be taken
for
this unit,
A
close approx ima tion in imperial units
is
32.1740 ft/s2. These
are frequently rou nded to 9.81 m/s2 and 32.2 ft/s2.
Interconversion factors for the above
units
can be
seen
or inferred
from
Table
13.
Table
13.
Acceleration
Exact
values are
printed
in
bold
type
i metre per second squared
=
m/s2
metre
per
second
squared
m/s2
-
-_-
1
foot per second squared =
0.3048
ft/s2
standard acceleration
due to gravity
=
9.806 65
gn
I
NOTE.
1
Gal =
1
m/s2 = 10-2 m/s2
1
mGal
- 10-5
m/s2 (see 13.2).
foot
per second
squared
ft/s2
3.280 84
.- - . .
-
-
1
32.1740
standard accelera tion due
to
¿?n
gral l i tY
~.
-
. . . . -. -
0.101
972
_______
- .
....
0.031
081 O
1
14. M a s s
14.1
The coherent
SI
unit of mass is the kilogram (symbol kg), a base unit. It is defined as equal to the m ass
of the international pro totype
of
the kilogram (which
is
in the custody
of
the International Bureau
of
Weights
and M easures at Sèvres near Paris).
14.2
Because the nam e
of
the base unit of mass already contain s the SI prefix
'
kilo
',
multiples and sub-
multiples are formed by adding
S I
pr eb es to the word ' ram
'.
Examples are megagram (Mg), gram
(g),
milligram
(mg)
nd microgram (pg), as follows:
Refer
to
note
1 M g = 1000kg -
lo00
g =-kg
1
mg
= 10-6kg
i pg
=
10-9kg I
In practice the megagram is usually referred to by the special name
'
onne
'
(symbol
t), and is often
called the
'
metric ton
'
n the
UK
and
in
the
USA.
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BS 350 Part 1 : 1974
M a s s
14.3 Som e other units
of
mass having associations with the m etric system are:
1 metric car at = 200 milligrams = 2 x 10-4 kg
1
quintal (q) = 1ûOkg
1atomic mass unit (u) = 1.660 53 X 10-27 kg
Refer
to
note
2
-
14.4
The primary unit
of
mass
in
the imperial system and in t he
USA
s
the pound
(Ib).
In
the
UK
Weights
and Measures Act, and in similar legislation
in
the USA, it is defined precisely and exactly
as
f d o w s :
14.5 T he connection between multiples an d submultiples of the pound
is
indicated in t b ollowing traditional
lists
of
named UK and US units of mass,
1
lb
= 0.453
592 37
kg
Avoirdupois units
(a) UK
nd US
nits
1 pound
=
16 ounces
(OZ) (1
OZ
=
28.3495 g)
= 1 6x 16 drams (dr)
(1 dr
=
1.771 85 g)
= 7000 grains (gr)
(1
gr
=
0.064
798 9 1 g)
(b)
UK
nits only
1 stone = 14pounds (= 6.350 29 kg)
1
quarter (qr)
=
28 pounds
(=
12.7006
kg)
1 cen tal (cfl)
=
100pounds (= 45.3592 kg)
1
hundredweight (cwt) =
112
pounds (= 50.8023 kg)
1 ton (ton) = 2240pounds (= 1016.05 kg)
(c) US nits only
1 shor t hundredweight (sh cwt) = 100 pounds (= 45.3592 kg)
1
short ton (sh ton) = 2000pounds (= 907,185 kg)
(In the USA the word ton refers to the ' hort
ton
' of 2000 lb unless oth erwise specified. The terms ' ong
ton ' or ' gross ton ' are sometimes used, referring to the ton of 2240 lb. T he hundredweight of 112 lb is
often called the ' ong hundredweight '. The use of the ' ong
units is decreasing in the
USA.)
Apothecaries' unifs (used in the U K * and the USA)
1 scruple"
=
20 grains (= 1.295 98 gram)
1
drachm* (in
UK)
=
3 scruples
(=
3.887
93
gram)
1
dram (in
USA) = 3
scruples
(=
3.887 93 gram)
1
ounce* = 24 scruples
=
480grains (= 31.1035 gram)
(oz
apoth in
UK
oz
ap in USA)
Troy units (used
in
the UK and the USA)
1
ounce troy = 1 apothecaries' ounce = 480 grains
(= 31.1035 gram)
(oz
tr in UK
oz
t in USA)
(Th e apothecaries' ounce* and the ounce troy ar e identical in mass and differ from the a voirdupois
ounce.
Unless otherwise qualified, the term ounce and ifs abbreviation oz signify the ayoirdupois ounce. The
pound troy
has
110 legal basis in the UK but i s legalized in the USA, where it is defined as a m ass equal to
5760 grains.
1
pound troy (U SA only)
=
12 ounces troy
=
5760 grains
(=
0.373 242 kg)
The grain has the same value in the avoitáupois,
troy, and
apothecaries' systems, and is abbreviated to
gr
in the UK.)
14.6
S o i e more specialized UK and/or USA iianied
units
of mass are:
=
32.667 g
=
29.166 g
I assay toi1
(UK)
1
assay ton (US)
1 slug
=
32.1740 lb (= 14.5939 kg)
1 international corn bushel = 60 lb
(=
27.2155 kg)
Refer to
noíc
3
4
5
6
For interconversion facto rs
for
inany
of
the Unitsof mass mentioned above see Tables
14u,
146 and 14c.
*
The apothecaries' uiiits (scruple, drachm, and apothecaries' oance) have been illegal since
1
January
1971
for
use
in
the
United
Kingdom.
21
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BSI B S * 3 5 0 :
P A RTUL 7 4 L b 2 4 6 6 9 O L L b L 4 0 b
BS
350
Part I
1974
Mass
Notcs
on
section
14
1. Th e alternative name
'
gamma ' symbol y)
is
somctimes
uscd
to indicate a micrograin.
2.
The m etric carat has international sanction for
use n
trade in diamonds, fine
pearls,
and
precious
stones.
Iii
tlie UK tlie
Icgiil
abbreviation for this unit is CM.
3.
The number o f milligrams in
a
UK ssay ton is equal to the number of ounces troy in a UK ton.
4. The number of milligrams in a US assay ton is equal to the number of ounces troy in a US
(short)
ton.
5 . The
slug
is
tlie British technical unit
of
mass. One pound-force acting on this
mass
produces
an
accelcratioii of
I
foot per
second squared.
6.
Used
for
the salc
of
wheat iindcr internatioiial Whent Agrecment,
1949.
Table i 4 a .
M a s s
Exact values are printed in bold type.
1
kilogram
kg
I 2.204 62
I
o.o68
521
1 pound
Ib
I l
0.453
592
37
I
08'
O
I
slug =
I
14.5939 32.1740
22
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B S 350
Par t
I : 1974
M a s s
U
W
\o
Q\
W
in
8
oo
2
U
U
9
O
m
G
8
Q\
F
s
I
O
00
d.
ril
G
W
m
8
O
3
Y
e
u
Li
._
2
io
o\
Q\
m
a
O
c?
2
x
n
U
23
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B S 350 Part
I
: 1974
M a s s
e4
v
8
M
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B S I
B S 3 3 5 0 :
P-ART*i
74 E
1624669 O l L b i 4 3
i
E
_ _ _ _ _ _ _ _ _ _ -
~
__ ~
_ ~ ~ --
BS
350 Part I :
1974
M a s s per unit length
15. Mass
per un it ength (or linear density) (masdlength)
15.1 The coherent SIunit of mass per un it length is the kilogram per metre (sym bol kg/m), a derived unit.
15.2 Two specialized units of linear density used in the textile industry and which have an association
with th e metric system are :
1
tex
=
1
gram
per
kilometre
=
10-6
kg/m
1 denier = 1 gram per 9 ilometres = 0.111 112 x 10-6 kg/m
1 pound pe r inch (lb/in)
1 pound
per
fo ot (lb/€t) (=
1.488
16kg/m)
1 pound per ya rd (lb/yd) (= 0.496
055
kg/m)
1
pound
per
mile (lb/rnile)
1 UKton per loo0 yards (ton/lûûû yd)
1 UK ton per mile Cton/mile) (= 0,631 342kg/m)
15.3 A selection of imperial units used in industry , often fo r Wires, rods etc. is:
(= 17.8580 kg/m)
(= 2.818 49 X
10-4 kg/@
(= 1.11
1 16kg/m)
Interconversion factors for the
units in
15.1 and 15.3 are given in
Table
15.
For further information on
15.2
reference should be m ade to BS 947 which gives tables for calculating the tex values of nu mbe rs or counts
in other systems, including denier.
e
25
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BSI B S * 3 5 0 : P A R T * L
BS 350
Par t I
:
1974
74 811 Lb24bb ï OLlb144
3
=
M a s s per uni t length
t
I
E:
x
o\
i.1
o
-
8
z
6
m
r
N
w
m
æ
9
E;
r
m
m
m
m
m
2
io
m
io
m
io
m
8
m
m
m
m
03
cc
F
s
8
in
W
8
3
II
2
R
I4
a
fia
g - h
ns
d
1
Li
B
E
B E
n r "
E
O0
3
d
-
II
k
F
a
fi
g $
n f
d
26
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BS 350
Par t
I
: 1974
M a s s per unit area
16. Mass
per
unit area
(mass/length squared)
(applicable for example to sheet metal, plating etc., and in agriculture)
16.1
The coherent
SI
unit is the kilogram per square metre (kg/m2), a derived
unit.
16.2 Other comm only used metric units are:
gram per square metre (g/m2)
milligram per square c entime tre (inglcm2)
milligram per square millimetre (nig/mm*)
kilogram per hectare (kg/ha)
16.3 A selection of imperial units
is:
pound per thousand square feet (lb/lûûO ft2)
ounce per squ are yard (ozlyd2)
ounce per square foot (oz/ft2)
pound per acre (lb/acre)
UK on per square mile (ton/milez)
(=
0.001
kg/m2)
(= 0.01 kg/m2)
(= 1 kg/m2)
(= O.ûûO1 kg/m2)
(= 4.882 43 X 10-3 kg/mz)
(= 3.390 57
x
10-2 kg/m2)
(= 0,305 152 kg/m2)
(= 1.120 85
x 10-4
kg/m2)
(=
3.922
98 x
10 -4
kg/m*)
For interconversion factors for the above see Table 16.
27
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B S
350 Part I 1974
M a s s per unit
area
O0
o\
M
2
iA
u O0
?
T:
a
4 CI
i
3
r.
O0
9
2
d
2
m
I
O
X
O0
iA
m
O0
c'
CI
e4
E
I
I
5
.
x
-
n
f
5
II
Fi
2 i
28
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-~
S I~-S U 3 5 0 : PART-*& 7 4 l b 2 4 b b ï O L Lb l4 7
9
BS 350 Part
I
: 1974
Area
per
unit mass
17. Specific surface, or area per
unit
mass
(applicable to sheet metal, plating, etc., an d in agriculture)
17.1 The coherent SI unit is the square metre per kilogram (m2/kg), a derived unit.
17.2 Other commonly used metric units are:
square metre per
gram
(m2/g)
(=
loo0 m2/kg)
square centìmetre per milligram (cm2/mg) (=
100
m2/kg)
square d m e t r e per milligram (mm2/rng) (=
1
mz/kg)
hectare per kilogram (ha/kg)
(=IO
o00
m21kg)
thousand square feet per pound (1000 €t2/ib) (=
204.816
rnz/kg)
square yard
per
ounce (yd2/oz) (= 29.4935 mykg)
square foot per ounce (ftyoz) (= 3.277 O6 mz/kg)
acre per pound (acrelib)
square mile per
UK
ton (milezlton)
173
A
selection of imperial units is:
(= 8921.79 mykg)
(= 2549.08 m2/kg)
For interconversion
factors
for the above see Table
17.
30
,-- -.
Previous
page
is blank
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r r )
I
s
d
X
io
@-I
a
*
I
o,
i
2
X
d
\o
O
t-
t-
2
2
Area
per
unit ma s s
O
O
*
I
s
x
ril
ril
O0
Q\
Cu
Cu
2
io
O0
O
N
d
sì
F
09
t-
i
2
O
t-
io
O
Q\
@-I
m
8
m
2
G
2
X
N
CO
ril
d
?
O
O
O
II
i
II
31
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-
.
1 square yard per gallon
1 square foot per gallon
--
Y
d2/gal
ft2/gal
I
=
BSI B S * 3 5 0 : P A R T * 3
'i4
= 3 6 2 4 b b 9
0 3 3 6 3 4 9
2
=
0.183 992
1 .
9
0.020
435
8 0*111
1 1
1
B S 350
Part 1 : 1974
Area per un it capacity
Density
18.
Area per uni t capacity
Ano ther com bination with somewhat similar application is ' area per unit capacity (used for the ' covering
power
'
of paints, etc.). Table 18 gives interconversion factors for square metres per litre, square yards
per U K gallon, and square feet per UK gallon.
Table
18.
Area
per
unit capacity
I l
I
-- I
48*9337
1 square metre per litre
m2/l
19.
Density *
(mass/volume)
19.1
The coherent
SI
unit of density
is
the kilogram per cubic metre (kg/m3), a derived unit.
19.2
Other com mon ly used metric units are:
(= loo0
kg/m3)
(=27 679.9
kg/m3)
(= 16.0185
kg/m3)
gram per cubic centimetre (g/cm3)
or
gram per millilitre (g/ml)t
pound per cubic inch (lb/in3)
pound per cubic foot (lb/ftJ)
UK
on per cubic yard (UK ton/yd3)
(=
1328.94
g/mJ)
pound per UK gallon (lb/UKgal) (=
99.7763
kg/m3)
pound per
US
gallon (Ib/USgal)
(= 119.826
g/m3)
}
19.3
A
selection of imperial units is:
For
interconversion factors for the above see Table 19.
See
also section
20,
Concentration,
* It should be noted that ' relative density ' i.e. density/reference density) is a dimensionless quality. T he relative density of
a
substance is defined as the ratio of the mass of a given volume of tha t substance to
the
mass of an equal volume of
a
reference
substance, under conditions which should be specified for both substances.
When t he reference substance is water the term ' specific gravity ' s commonly used for relative density. For conversions of
readings of hydrometers on different density and specific gravity bases see BS 718,
i
gram
per
millilitre
(1901)
=
999.972
kg/mJ.
See
4.3,
litre,
32
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BS
350 Part 1 : 1974
Density
N
I
I C :
I
I
I
x
O
o
t-
Y
-
m
X
E
8
rn
N
c?
d
W
li
in
Do
8
2
8
I
I
I I
II
33
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BSI
B S * 3 5 0 :
P A R T * l 74 L b 2 Y b b î
Q L L b L 5 4
0
m-
B S
350
Part 1
:
1974
Concentration
20. Concentration (mass/volume)
20.1
The coherent SI unit for the expression of concentration* (in the sense of the mass
of
a substance
per unit volume
of
a solution, or the like) is the kilogram per cubic metre ( k g / d ) , a derived unit.
This uni t is equaf to 1 gram per cubic decimetre, and is comm onty expressed as 1 gra m pe r litref'.
1
kg/m3
=
1 g/dm3
=
1 g/1
20.2
Some imperial and
US
units which are in practical use for the statement of coiicentratioii
are:
grain per cubic foot (gr/ft3) (= 0.228 835 x 10-2 kg/in3)
grain per U K gallon (gr/UKgal) (= 0.014 253 8 kg/m3)
grain per US gallon (gr/USgal) (= 0.017 118 1 kg/m3)
ounce per WK allon (oz/UKgal) (= 6.23602 kg/mJ)
ounce per
US
gallon (oz/USgal)
(= 7,489 15
kg/m3)
For
interconversion factors for the above see Table 20. See also section
19,
Density.
*
Concentration is sometimes expressed in otherways,
for
example, mass (of a substance) per unit
mass
of a
solution), or,
in
physical chemistry,
in
terms of moles per unit volume,
t
1
gram
per litre
(1901)
=
0.999
972
kg/m3.
See
43,
litre.
.
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B S I
B S * 3 5 0 : PART*KL 7 4
l b 2 4 b b î O l l b l 5 3 4
m
BS
350
Part I : 1974
Specific
volume
21. Specific
volume (volume/mass)
21.1 The coherent SI unit of specific volume (which is the reciprocal
of
density) is.the cubic
metre per
kilogram (mj/kg), a derived unit.
21.2 Anothcr commonly used metric unit is:
litre*
per
kilogram (l/kg) =
0.01
m3/kg.
21.3
A selection o f imperial units is:
cubic foot per pound (ft3/lb)
cubic inch per pound (in3/lb)
cubic foot per UK ton (ft3lUKton)
U K gallon per pound (UK gal/lb)
(=
0,062
428 O
m3/kg)
(=
3.612 73
x
10-5 m3/kg)
(= 2.786 96 x 10-5 mJ/kg)
(= 0.010 022 4 rnJ/kg)
For
interconversion factors for the above
see
Table
21.
* 1 litre
(1901) per kilogram = 1.ûûû 028 x 10-3 mi/kg. See 4.3, titre.
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E
a
o
t
o
al
P
cß
I
Ki
n
iI
al
m
Qo
O0
CJ
W
3
ci
BS 350 P a r t 1 :
1974
I
Specific
volume
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- _
- .
BsI B S * 3 5 0 :
P A R T * L
74 L b 2 4 b b q O J , L ~ J ~ ~ S
B S 350
Part I
:
1974
M a s s rate of f low
Volume
rate
of
f low
22. M a s s rate of f low (masc/time)
22.1
The coherent
SI
unit of mass rate
of
f low is the kilograin
per
second (kgls),
a
derived unit.
22.2 Ano ther com monly used m etric unit is the kilogram per hou r (kg/h).
1 kg/h = 2.777 78 x
10-4
kg/s
22.3
A
selection of imperial units
is:
pound per second (Ib/s)
pound per hour (lb/h)
UK ton per hour (UKton/h)
(=
0.453
592 kg/s)
(= 1.259 98 x 10-4
kg/s)
(= 0.282 235 kg/s)
For interconversion factors for the above see Table 22.
Table 22.
M a s s rate o f
f low
Exact values are printed in bold type.
kilogram
per
second
1 kilogram per second =
1
kg/s
k d h
1
kilogram per hour = 2.777 78x 10-4
1
pound per second
= 0.453 592
lb/s
1
pound per hour
= 1.259 98 x
10
-4
Ib/h
1
U K
ton per hour
=
0.282 235
UKton/h
kilogram per
pound
per
hour second
lb/s
--
k d h
3600
2.204 62
1 6.123 95x 10-4
I l
632.93
0.453 592
2.777 78 x 10-4
1016
.O5
0.622 222
I
pound pr UK ton
per
hour
how
lb/h
UKton/h
7936.64 3.543 14
_ I _
2.204 62
9.842
07
x
IO-4
%O0 I
1'607
l4
1
4.464 29 x 10 4
2240
1
I
23. Volume rate
of
f l o w " (volume/time)
23.1
The coherent
SI
unit of volume rate of
f low
is the cubic metre per second.f.
d/s ) ,
a derived unit.
23.2 Some other comm only used m etric units are:
cubic metre per
hour
(m3/h)
litre# per second (@I
litre# per minute (I/min)
litre# per hour (I/h)
cubic foot per se condg (ft3/s)
cubic foot per hour (ft3/h)
UK gallon per second (UKgal/s)
UK gallon per minute (UKgal/min)
UK gallon per hour (UKgal/h)
(= 2.777 78
x
10-4 m3/s)
(= 0.001
m3/s)
(= 1.666 67
x 10-5
m3/s)
(=
2.777 78 x 10-7 m3/s)
(=
0.028 316 8
1n3/s)
(=
7.865 79 x
10-6 m3/s)
(= 4.546 O9
x 10-3
in3/s)
(=: 7.576 82 x 10-5
m3/s)
(= 1,262
80
x 10-6mJ/s)
23.3 A selection of imperial units is:
For interconversion factors for the above see Table
23.
* For gases, the conversion factors given here are based on the
ussiiniption
that the reference conditions of temperature,
pressure and humidity remain unchanged.
$ The litre (1901) = 1.OOO 028 litre (see
4.3).
5
The cubic foot per second is sometimes known
as
the
'
cusec
'.
The cubic metre per second i s sometimes known as the ' cumec ',
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BS 350
Part
1
:
1974
Volume
rate o f f l ow
F
-
pi
Q
f
E
9
O
-
X
E
a
3
r-C
O)
.:
n
E
R
X
IC
m
2
n
E
X
u))
u)
m
f
-
f
-
N
h
8
u)
-
n
E
8
8
X
N
7
r
E
X
i
n
E
g
8
8
X
N
2
r
X
N)
N
-
8 f
N
u)
h
N
m
8
w
-
O
n'
-
u)
N
E
6
o
-
IC
E
2
m
_.
m
pi
H
o
-
n
E
X
m)
m
2
-
f
O
m
Y
m
n w
E b
X X
z Fi
t :
m' u)
IC
8
8
c
t
R
1
-
8
I
-
8
c
8
N
m
u
-
pi
t
u)
O
4
m
9
t
-
E
R
m
2
X
-
8
-
c
l b. Y
o
b
X
(1)
8
m
m
n
E
R
R
2
x
r.
0
m
m
9
IIY
O
R
u)
m
O
m
Lo
. -
r-
N
8
l e
6
c
6
m
f
m m
R
X
m
r-
Q
O
u)
m
)
h
I-
O)
-
c.
c
pi
t
3
z
o,
R
n
X
r.
pi
Q
ã
b
B
d
II
X
8
0
c
X
r.
IC
i
R
a
.
o
i
_.
R
L
a
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u)
n'
8
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u)
K
R
a
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s
X
l
II
c
p3
k 5
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.
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E S 1 B S * 3 5 0 : P A R T * L
74
1 6 2 4 b b 9
Ollb157 1
BS 350 Part
I
: 1974
Traffic factors
24. Traffic factors
(in connection with volume of fuel consumed, distance run and load carried)
It should be noted that in European countries fuel consumptions are usually expressed in terms of litres
per kilometre,
or
litres per
100
kilometres, i.e. volume of fuel per distance run (see Table
244.
In the UK
the reciprocal factor (distance/volume) in terms
of
miles per gallon
is
used (see Table
24b).
Figure
1
is a
graph indicating the relationship between litres per
100
kilometres and miles per gallon, over the range
10
miles to 100 miles per gallon.
Table
24a.
Fuel consumption
(voIume/distance)
Exact values are printed in
bold
type.
I
ütritrper
kilometre*
UK
gallon per mile
UKgal/mile USgal/mile
U S gallon per mile
1
litre per kilometre*
= I
1
I
0.354 006
I
0.425 144
l/km
1
UK gallon per mile
= 2.824 81
1
1.200 95
UKgal/mile
1
US gallon per mile
= 2.352 15 0.832
674
1
USgal/mile
* Several European countries use the factor
'
itre per
100
kilometres '.
Table
246.
Fuel consumption
(distance/volume)
Exact va lues are printed in bold type.
kilometre per litre
h l i
1 2.824
81
2.352 15
miie per UK gallon
mile/UKgal mile/USgal
mile per U S gallon
1
kilometre per litre
=
km/l
1
mile per UK gallon 0.354 006
mile/UKgal
0.832 674
=
I
mile per
US
gallon
mile/USgal
1.200 95
Mass carried
x
distance
1
tonne kilometre
1
UKton mile
= 1.635 17
tonne kilometre
Mass carried x distance/volume
1
tonne k ilometre per litre
1
UKton mile per
UK
gallon
= 0.359 687
tonne kilometre per litre
= 0.611
558
UK ton mile
= 2.780 20
UKton mile per
UK
gallon
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U
U
C
3
c
p
8
P
B S I BSr35O: P A R T * : L
7 4 1
b 2 Y b b 9
O L L b L C B
3
=
_ _ ~
~~ -
BS 350
Part
I 1974
Traffi c factors
O
*
e
O
Miles per gal lon
Fig.
1 Fuel consumpt ion
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B S I
BS*3CO: P A R T * l 74
131
1624bb9
Oll6359 5
BS
350 Part
I : 1974
Moment
of
inertia
Momentum
Angular momentum
25.
Moment of inertia (mass x
length
squared)
25.1 The coherent SI unit of moment
of
inertia is the kilogram metre squared (kg m2),
a
derived unit.
25.2
Som e other metric units which have been used are:
kilogram miliimetre squared (kg mm2)
gram centimetre squared (g cm2)
25.3
A
selection of imperial units is:
pound foot squared (íb ft2)
pound inch squared (Ib in2)
ounce (avoir) inch squared (oz in2)
(1
kg mm2
=
10-6
kg
m2)
(1 g cm2
=
10-7 kg m2)
(= 0.042 140 1 kg m2)
(=
2.926 40 x IO 4 kg m2)
(= 1.829 O0 x 10-5 kg m2ì
For interconversion factors for the
above
see Table 25.
Table 25. Moment of inertia
Exact values are printed in bold type.
kilogram
metre
pound
foot
pound
inch
ounce
inch
kg m2
squared squared squared
lb ft2
Ib in2
oz
in2
s q d
1
kilogram metre squared =
1
23,7304 3417.17 54
674.8
kg m2
1 pound foot squared = 0.042 140 1
1
144 2304
lb ft2
-
1 pound inch squared = 2.926
40x
10-4 6.944 44 x 10
- 3 1
16
íb in2
--
1
1
ounce
nch squared
-
1.829
O0
x
10
-5
4.340
28
x
IO
4
0.0625
oz in2
NOTE.
1
kg m2
=
106 kg mm2 = 107 g cm2,
26. Momentum (linear) (mass
x
velocity)
The
coherent SI unit of mom entum is the kilogram m etre per second.
Some key conversion factors are:
1 kg m/s = 7.233 O 1 lb ft/s
1 Ib ft/s = 0.138 255 kg m/s
(1
kg m/s =
105
g cm/s)
27.
Angular momentum (mass
x
velocity
x
length)
The coherent SI unit of angular momentum is the kilogram metre squared
per
second.
Some key conversion factors are :
1
kg
1 Ib ftz/s = 0.042 140 1kg m2/s
;= 23.7304 Ib ftz/S
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B S
350 Part
1
:
1974
Force
28.
Force
(mass
x acceleration)
28.1 The coherent SI unit of force is the newton
(N), a
derived unit with a special name. Expressed in terms
of base uiiits of the
SI
the newton is the kilogram metre per second squared (kgm/s2) and is that force
wliicli, when applied to a body having a mass of one kilogram, gives it an acceleration of one metre per
second squared.
28.2 Other m etric units of force of historical or practical importance are :
the dyne (dyn), the force u nit in th e centimetre-gram-second system,
the sthène (sn), the force unit in the m etre-tonne-second system, an d
the kilogram-force (kgf), which is often described
as
the metric technical unit
of
force. I n G ermany and
some other co ntinental countries the kilogram-force is called the kilopo iid (with symbol kp).
1 dyn =
1
g cm/s2
1 sn
=
1 t m/s2
(=
103 N)
(=
10-5 N)
l h e kilogram-force (or kilopond) is that force which, when applied to a body having a mass of one
kilogram, gives it th e standard acceleration* due to gravity (Le. 9.806 65 m/s?).
Thus,
28.3
In the foot-pou nd-second system the cohe rent force unit
is
the poundal (pdi).
1 kgf (or kp)
==9.806
65 kg iii/s2
(=
9.806
65 N)
1
pdl
= 1
lb ft/s2
-- 0.453 592 37
x
0.3048 kg ni/s2
(=
0.138 255 N) (approximately)
The
corresponding technical force unit in general use in the UK and USA
is
the pound -force (lbf). It is
that force which, when applied to a body having a mass of one pound, gives it the standa rd acceleration*
due to gravity.
Thus,
9.806 65
0.3048
lb ft/s2Ibf
=
= 32.1740 pdl (approximately)
(=
4.44822 N)t
Furfher technical force units associated with the pound-force a re th e ounce-force (ozf), the
U
K ton-force
1
ozf
= ~ I b f (= 0.278014N)
1
tonf
= 2240 lbf
(= 9964.02N)
1
US on-force
=
2000 lbf
(= 8896.44
N)
1 kip (USA only) = loo0 bf
(=
4448.22N)
(tonf) sind the
US
ton-force. in the
USA
a
unit
of
loo0
bf named the
‘
kip
’
s
often used.
1
28.4 The kilogram-force (kgf), and the pound-force (Ibf) and its associated units, are both exactly defined
in
terms of t he standard acceleration du e to gravity. Because local acceleration due to gravity usually differs
slightly from standa rd acceleration, it foliows that the forces exerted by gravity on bodies having a mass of
1
kg
o r 1 Ib are rarely exactly equal to 1 kgf o r 1 lbf respectively, and a ccount has t o
be
taken
of
this when
very high precision is required. See
also
section 29,Weight.
Interconyersion
factors
for the above units are
given,
or can be readily
inferred,
from Table 28.
*
See 13.4.
I-
In
exact
ternis,
0.453
592 37
>:
9.806
65
N.
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BSI
B S a 3 5 0 :
P A R T * l
74 m 1ib24bb9
O l L b l b L 3 m
BS
350
Par t 1 :
1974
Force
C
f
Pz
-
N
m
v,
w
B
n
2
I
8
g k
o c
l-4
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29. Weight
29.1 Meaning
of '
weight
'.
The term 'weight
'
s commonly used either to denote mass
or
force, i.e. the
mass of a b ody o r the force of gravity acting upon it. It is used in the sense of mass in the
UK
Weights
and Measures Act,
1963
and in comm on parlance; it
is
used in the sense
of
force by
CGPM
and in scientific
and some technical work.
As
weight values may
be
found quoted in either mass o r force units bot h usages are accom mod ated n these
conversion tables, To onvert weight units when using weight in the mass sense use Tables 14a, 146 or 14c:
to convert weight units when using weight as
a
force use Table
28.
29.2 Relatioitship
between force of gravity
and mass.
Th e force
of
gravity (for exam ple, expressed in newtons)
is equal
to
the mass (in kilograms) multiplied by the local gravitational acceleration (in metres per second
squared).
For
most practical purposes variations in local gravitational acceleration
can
be ignored and the
standard value of
9.806 65
m/s2 is assumed (usually rounded to
9.81
m/s2).
It
is the standard value
of 9.806
65
m/s2 that
is
used in defining with precision
the
technical
force
units,
the ki1ogram:force an d the pound-force.
29.3
Accurate weight conversions, Conversions from one system of units to another on a mass to mass
basis, o r on a force to force basis, can be m ade with go od accuracy by using the tables for sections
14
and 28
respectively, However, to obtain the accurate relationship
of
a mass to its associated gravitational force
account has to
be
taken
of
the exact local value of the earth's gravitational field. The downward force on
the mass
is
also affected
by
the bupyancy
of
any displaced atmosphere,
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__-
BSI
B S s 3 5 0 : P A R T x L
74
W L b Z 4 b b 9
O L L b L b 3
7 W
~
BS
350 Part
I
: 1974
Moment of force (torque)
30. Moment
of force, or
torque
(force i:
ength)
30.1 The coherent
SI
unit of moment (of force) is the iiewtoii metre (N m), u derived uiiit. See the note
below concerning the energy unit, which has a different physical significance.
303 A metric unit often used for moment, or torque,
in
continental countries
i s
the kilogram-force metre
(kgf m).
1
k g f m
=
9.806
65
N
m
This unit is called the kilopond m etre (kp m) in Germany.
poundal foo t (pdl ft) (= 0.042 140 1 N
m)
pound-force foot (Ibf ft) (= 1.355 82N m)
pound-force inch (Ibf in)
(=
0.112
985
N
m)
UKton-force foo t (tonf ft)
ounce-force inch
(ozf
n)
30.3 A selection of imperial units is:
(=
3037.03 N m)
(=
7.061
55 x
10-3 N
ni)
NOTE. The product newton
x
metre (N
m)
lso expresses the SI unit for work done, or energy, a tinit having lhe special
name joule
(J), (see
section
36,
Energy). How ever, torque arid energy
are
diíïerent physical quantities; b oth a re dimensionally
force x
length but
in
the former the directions of the force and length components are perpcndiciilar to each other while
iii
the latter they a re in line with each other.
With imperial units
a
distinction between torque units and energy units is made (by convention) by reversing the order
of
the units; e.g. the fo ot pound-force (ft Ibf) is an energy unit and t he pound-force
fooi
(Ibf ft)
a
torque unit. There is
no
similar
convention used
or
advisable with metric (including
SI)
units; it can
be seen
for
exainple that
rn-N
(the reverse of
N
m) would
easily
be
mistaken for mihe wto n.
Metric moment or torque units should be expressed
89
indicated in 30.1 and 30.2 above.
It may be useful to point out that because both torque and energy are dimensionally the same (force
x
length) there
is
a
numerical correspondence b etween energy conversion tables and torque conv ersion tables.
P
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BS 350
Part
1 : 1974
Moment
of force
( torque)
rl
Q
8
/o
-
I+)
I
EI
%
8
X
Y
io
O
ril
8
8
ri
O
Pl
m
I
EI
o,
Y
X
t-
OI
W.
m
1
m
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B S I
B S * 3 5 0 :
P A R T * L
74
m
3 6 2 4 b b î O L L b L b 5 O m
BS 350 Part I : 1974
Force per unit length
Pressure
31. Force per
unit length * ( fo rcdength)
31.1
The coh erent SI unit is the newton per metre (N/m).
31.2
Another metric unit that may still be encountered is the dyne per centimetre (dyn/cm).
i
dyn/cm
= 10-3 N/m
No interconversion tables are provided for force per unit length, The main reason for mentioning it here
is to show the distinction from torque.
32.
Pressure
(force/area)
32.1
The coherent
SI
unit of pressure is the newton per square metre, N/in2,
for
which the special name
pascal (symbol Pa) was approved by the CGPM in 1971.
One pascal represents a very small pressure, and its multipies kilopascal (kPa) (or kN/m2) a nd megapascal
(MPa)
(or
MN /m2) a re therefore frequently used.
322
Arising from the historical evolution
of
the
SI
from the CGS system, some pressure units have a decimal
relationship with the pascal. T hese are the dyne per square centimetre (dynlcm2) (sometimes called the
barye), the pièze (pz), and the bar (bar)?. Only th e last of these, with its multiples, persists in comm on use.
The dyne per square centimetre is also a very small pressure:
i x
1 0 - 5 ~
(m/1W2
= 0.1
N/m2
= 0.1
Pa.dyn/cm2
=
The pièze is the coherent pressure unit in the rnetre-tonne-second system, being equal to one sthène per
1 pz
= 1
sn/m2
=
1
x
103 N/m2
= 1
kN/m2
= 1
kPa.
Th e bar, 106 dyn/cmZ, is legally recognized in EE C countries and has a m agnitude not far removed from
1
bar
=
106 dyn/cm2
=
106
x
0.1
N/m2 =
o5 N/m2
=
105 Pa .
One of its submultiples, the millibar,
is
widely used in the expression of barometric pressures.
square metre
:
that of u sual atm ospheric pressure at sea level.
32.3
Also
in com mon use on the Co ntinent are the technical pressure units, the kilogram-force per square
metre, and, in particular, the kilogram-force per square centimetre
:
1 kgf/m2
=
9.806 6 5 N/m 2 (exactly)
1 kgf/cm2 = 0.980 665 x 105 N/m 2 (exactly) = 0.098 066 5 MPa
In Germany a nd some other C ontinental countries the kilopond (kp) is used in place
of
the kilogram-force
These technical units have a simple relationship with conventional columns of water expressed in metric
=
9.806 65 Pa
(kgf), e.g. 1 kp/cm2 = 1 kgf/cmz.
terms (see
32.5).
32.4
Some imperial units in use, and that are expressed directly in terms of force per unit are a, are:
poundal per square
foot
(pdl/ft2), the coheren t unit in the foot-pound -second system
pound -force per squ are inch (lbf/in2)
pound-force per square foo t (lbf/ftz)
UKton-force per square foot (tonf/ft2)
UKtoii-force per square inch (tonf/in2)
technical units
approx,
.453 592
37 x
(0.3048)
N
(0.3048
m)2
0.453 592 37 x 9,806 65
N
(0.3048
m)2
1
pdl/ft2 =
=
1.488 16 Pa (or N/m2)
-
lbf/ft2
=
47,8803 Pa (or N/m2)
approx.
* For example, surface tension.
t The internationallyrecognized unit symbol for th e bar is the same as the unit name. In meteorology, however, the commonly
used
symbol
for
the m illibar
is
simply mb.
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1 Ibf/inz = 144 bf/ft2
= 6894.76
Pa (or N/m2) approx.
1 UKtonf/ftz
=
2240 bf/ft2
==
1.072
52
x
105
Pa (or N/m2) approx.
1
UKtonf/in2 =
2240
bf/in2 =
1.54443 x
lo7 Pa (orN/m 2) approx.
The pound-force per square inch (lbf/in2) is often known and shown by the abbreviation p.s.i., but,
alth oug h widely used in the UK and
USA,
this abb reviation is inconsistent with the internationally recognized
symbology for units. In the
USA,
the expression
'
ksi.' is often used to signify kips
per
square inch (Le.
loo0 lbf/in2).
32.5 Liquid columns. Pressu res are often measu red in term s of the height of co lumn of liqu id, e.g. ofmercury
or of w ater. The pressure associated with a given height is depend ent upon th e density of th e liquid and the
local acceleration due t o gravity. The following pressure units, based upon conventional density and gravity
conditions, are internationally recognized:
the conven tional miliimetre of mercury (symbol mmHg)
;
the
conventional inch of mercury (symbol inHg);
the conventional millimetre of water (symbol mm H2 0);
the con ventional inch of wa ter (symbol inH2O).
The m etre of water (mH2O) an d foot of water (ftH 20) ar e also used.
1 mmHaO = 0.001 m
x
lo00 kglm3 x
9.806 65
m/s2 =
9.80665
N/m2 = 9.806 65 Pa
(This is the pressure due to an ideal column of water of length
1
mm and of uniform density
1
g/cmJ,
1 mmHg
=_
13.5951 m m H 2 0
=
13.5951 x 9.806 65 Pa
=
133.322Pa (approx.)* '
i i n H 2 0
= 25.4
m m H 2 0 =
9.806 65 x 25.4
Pa
= 249.089Pa (approx.)
1 inHg
=
25.4 mmHg
= 9.806
65
x 13.5951
x
25.4
Pa
=
3386.39
Pa (approx,)
I ftH2O = =
304.8
mmH2O
= 304.8
x 9.806 65 Pa
= 2989.07 Pa (approx.)
Another pressure unit in comm on use known as the torr is equal, within one part in
7
million, to the
conventional rniliinietre of mercury (mmHg). It is, however, precisely defined in terms of the pascal as
follows
:
when under the standard condition
g,
= 9.806 65 m/s2)
101
325.0
760
Patorr
=
-- 133.322Pa (approx.)
Because of its size, the pascal is well-suited to vacuum technology. However, in addition to the millibar
and tor r and the ir submultiples, the term ' micron
'
meaning mic rome tre of mercury (pmHg), is still common
in this field. The symbol pmH g
is
sometimes (incorrectly) contracted t o p.
Following from its definition, the conventional millimetre of water is exactly equal to the kilogram-force
per square metre:
1 mmH2O
=
1 kgf/m2 ( or kp/m2)
Similarly,
10
m H 2 0
= 1
kgf/cm2 (or kp/cm2).
32.6 Atmospheres. Attention is called to the significance of th e following terms an d symbols:
Standard atmosphere
(atm). This is an internationally esfablished reference fo r pressure of
101
325 Pa,
being equal to
760
mmH g within one part in
7
million. It should not be regarded o r used as a u nit, but it
is
of great im portan ce and in widespread use as a reference.
The technical
atmosphere
(at). This unit, which is used on the Continent, is equal to the kilogram-force
per square centimetre, or kilopond per square centimetre:
1 a t = 1 kgf/cm2 (or kp/cm2) =
98
066.5 Pa
32.7
'
Absolute ' and
'
auge '.
All the pressure units men tioned in
32.1
to
32.6
may be used to state the
mag nitude of a n absolute pressure or of a pressure difference, an d misunderstandings in interpretation an d
conversion may a rise if th e quantity concerned is not clearly expressed.
It
has been internationally recommended t ha t pressure units themselves should not be modified to indicate
whether the pressure value is
'
bsolute ' i.e. with zero pressure as the d atum ) or ' gauge
'
i.e. with atm os-
pheric pressure as the datum).
*
For
detailed
information
on
barometer conventions
see
BS
2520.
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~
BsI
BS*350:
P A RT*L
74 Lb24bbq OLLb1 ib7
4
B S 350 Part 1 :
1974
Pressure
Both in the U K and USA it was commoii practice to use the abbreviation p.s.i. to indicate Ibf/in2, and
Lo
differentiate between gauge and absolute pressures by adding the further letters
'
g ' and ' ' o make
'
p.s,i.g.' and
'
p.s.i.a.' respectively. A similar situation existed in German practice, where the symbol for
the technical atmosphere (at) was modified to atü or a ta to indicate the expression of ' gauge ' (über) or
'
absolute
'
pressure respectively*. Of these, only ' t
'
was an internationally recognized unit symbol;
furthermore the modiñcations did not change the units of measurement, but were in fact an indication
of
the qu antity being expressed.
From the recommendation in the second paragraph it follows that, if the context leaves any doubt as
to which quantity is meant, the word
'
pressure' should
be
qualified appropriately:
e.g. ' at a gauge pressure of 12.5 bar '
or '
t a gauge pressure of 1.25 MPa
'
or
'
at an absolute pressure
of 2.34
bar '
or ' at a n absolute pressure of 234 kPa '.
Absolute pressures are always positive, but gauge pressures are shown as negative when indicating a
It is
comm on practice in the power and process industries to refer
to '
vacuum
'
alues,
e.g. ' mmHg vacuum ' represents a gauge pressure of -1 mmHg, and
pressure less than the d atum pressure.
' one per cent
of
vacuum ' epresents a gauge pressure of minus one p er cent of the datum atmosphere
in use.
*
With the atü, the
datum is an absolute pressure
of
1 at.
Interconversion factor s for the above
units
are given, or can be deduced from, Tables 320, 32b and
32c.
See
also section 33, Stress.
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BS
350
Part I :
1974
Pressure
W
I
X
5:
3
8
c?
ut
o0
5:
Q:
s
X
t
W
11
d
O
U
8
U
O
3
$
d
ril
I
-
*
I
s a
2 P
X X
q ad
W m
I I
X X
E l 3
2
F
q w
U
d
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BS 350
Pressure
’ BSI
B S 8 3 5 0 : P A R T * l
7 q m l b 2 4 b b 9 O l l b l b ï
B
m
8 8
I
’art 1
:
1974
52
h
m
8
m
d
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BS 350
Part
1
:1974
Pressure
3
w
x
g .
2
w
5
I
m
4 V - l
g -
X
m
m
m
m
8
c;
-
w
m
Q
i5
ó
-
3
m
'".
O
R
8
x
I[
I
II
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BSI B S * 3 5 0 : P A R T * L 74 IPI L b 2 4 b b ï
O L L b L 7 1
b R
BS
350 Part I
:
1974
Stress
Viscosity (dynamic)
33. Stress
( f o r d a r e a )
Though it is a differ ent physical quantity, stress is iiaturally trea ted
with
pressure, since
it is also
force
divided by area. Many, but not ali, of the iiiiits mentioned in connection
with
pressure are used
for
stress,
so the conversion factors in Tables 320,
326
and
32c
will be found useful.
The cohe rent SI unit of stress is again the pascal (Pa), Le. the newton p er square metre (N /rna).
Technical units that have been widely used for stresses in metals and some other m aterials are the kilog ram-
force per square millimetre (kgf/mm2), pound-force per square inch (Ibf/in2) and
U
Kton-force per square
inch (UKtonf/in2)*. In the change to SI, a practical unit
of
similar size to the kgf/mm? was sought, the
first proposa l being the he ctobar (hbar), which
came
nto some use. How ever, the hbar is being abandoned
in favour of the N/mm2, which can be otherwise stated as MN/m2
or
MPa:
1 N/mmz = 1 MN/m? = 1 MPa
1 kgf/mm2
=
9.80665 N/mm2
=
9.80665 MPa
1 hbar = 100 bar
=
102
x
105 N/ni?
-= 10 NIPa
NOTE. ntercoii\ersion factors for these and other units used
for strcsscs are
givcn
o r ciiii be
dcditccd
ïroiii Tables 31u, 3 3
and
32c.
See also section
32,
Pressure.
34.
Vipcosity,
dynamic (stress/velocity gradient)
34.1
The coherent
SI
unit
of
dynamic viscosity
is
the pascal second (Pa
s) ,
which iilay
also
be expressed
a s
the newton second per square metre
(N
s/m2),
or
as
the kilogram
per
metre second
(kg/(rn
s)).
This unit has also been called the poiseuille (Pi) iii France. (It should be noted that this is iiot the same
as
the poise
(P),
described in
34.2).
34.2
The poise
(P)
is the8orrespondiiig CGS unit.
1 P = 1
dyn s/cm2
=
10-1 N
s/m2 = 10-1 Pa s.
The commonIy used submultiple is the centipoise (cP).
1
CP = 10-2 P
=
10-3 Pa
s.
34.3
Other metric and imperial units that have been used for dynamic viscosity are:
kilogram-force second per square metre
poundal second per square foot
pound-force second per square foot
pound force hour per square foot
pound-force second per square inch?
pound per foot hour
(kgf slni?)
=
pound per foot second, Ib/(ft
s>
(pdl s/ftz)
=
slug per foot second, slug/(ft
s)
(lbf s/ft2)
= slug hour per foot second squared, slug
ii/(ft sz)
(lbf h/ft2)
(lbf s/in2)
(lb/ft li)
1 kgf
s/m2 = 9.806
65 Pa
s
1
pdl s/ft2
= 1.488 16
Pa
s
1
Ibf s/ft2
= 47.8803
Pa
s
i
Ibf h/ft2
=
1.723
69
x
iOS Pa
s
TI
lbf s/in2
=
6894.76Pa s
1
Ib/ft h =
4.133 79
x
10-4
g/(m
s)
=
4.133
79
x
10-4 Pa
s
NOTE.
For reference to frequently used
but
empirical uiiits
of
viscc>s¡ty, such
i l s
the Redwood sccoiid. sw scctioii
33,
Viscosity, kinematic.
Interconversion factors for most of these units are given
in
Table 34.
*
Ii i
tlie
U S A ,
tlie expressioii ' k.s.i.' is ofteii
uscd
to S¡gii¡fY kips pet square inch (¡.c.
1000 Ibf/iii:ì.
t
Sonietinies called the
'
reyn
'.
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o\
I
o,
x
CI
in
O
-
z
B S
350 Part I : 1974
Viscosity (dynamic)
7- i
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BSI B S * 3 5 0 : PART*:L 74 E b 2 4 6 6 9 0lLbL73 T
BS 350 Part 1 :
1974
Viscosity (kinematic)
35.
Viscosi ty , kinematic (length squared/time)
35.1
The coherent
SI
unit of kinematic viscosity (which is dy nam ic viscosity divided by density) is the
metre squared per second (m2/s).
35.2
The corresponding
CGS
nit is the stokes (St).
1
St
= 1
cm2/s
=
10-4 m2/s
Th e com mo n subm ultiple is the centistokes (cSt).
1
cSt
= 10-2 St = 10-6
m2/s
(=
1 rnmys)
35.3
Ano ther m etric unit sometimes used is the me tre squared per ho ur (m2/h).
1 m2/h
= 2.777 78 x
10-4 m2/s
35.4
A selection of imperial units is:
inch squared
per
second in2/s
foot squared per second ft2/s
inch squared
per
hour in2/h
foot squared per hou r ft2/h
1 in2/s
= 6.4516 x
10-4 m2/s
1
ft2/s
= 9.29030
X
10-2
d / s
1
in2/h =
1.792
11
x
10-7 m2/s
1 ftZ/h
=
2.580 64
x
10-5 m2/s
35.5
The units referred
to
in
35.1 to 35.4
are absolute units with physical dimensions, as distinct from
values on frequently used but empirical scales such as Redwood
No.
1,
Saybolt Universal, and
Engler
degrees. For tables from which viscosity values in these empirical scales may
be
converted to centistokes
see ESDU* Item
No.
68036, sponsored by the Institution
of
Mechanical Engineers.
Interconversion factors for the
uni ts
in
35.1
to
35.4
ar e given in
Table
35.
No te th at this table may be used
for
the conversion of values of therm al diffusivity,which also has the dimensions of length squared/tim e.
* ESDU Item No. 68036
'
Introductory m,emorandum on the viscosity
of
liquids and the classification
of
lubricating oils
'
obtainable from :
Engineering Sciences Data Unit,
251-259
Regent Street, London
W1R
7AD.
56
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I ,
b a e
t
$3
O
00
v,
M
n
CI
El
EI
2
X
4
2
a
N
t
P
3
X
4
II
1
L
9
8 %
-4
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BSI
BS*350: P A R T * L 74 W 1624669
O L L b L 7 5
3
BS 350 Part
I
: 1974
Energy
36. Energy (work, heat, etc.)
36.1
The coherent
SI
unit for the expression of all.for./risof energy is the joule (symbol J).
in different ways, e.g.:
Just a s energy arises in many ways, the connection between the joule and other
SI
unils may
be
iiidicated
I
J = 1
N m (force x distance, newton metre)
=
I
W
s
(electrical energy, wa tt second)
= 1
Pa m 3 (pressure x volume, pascal cubic metre)
(This unit was, prior to the
Si,
known a s the absolute joule, but
i t
is
now
simply the joule
(J).
The
'
nternational
'
oule, which became obsolete in
1948,
was approximately equal to
1OOO 19
J.)
36.2
Arising from the historical development of the
SI
from the
CGS
system, the unit of energy
in
the
CGS system (the erg) is decimally related to the joule.
1
erg
=
1
dyn cm
= 1 x lO-sN x 0.01 m
= 10-7 N
m
= 10-7 J
36.3
A
unit
in
extensive use for the expression of electrical energy is the kilowatt hour (kW
li).
I
kW
h = 1
x
IO00 x W
x 36009
=
3.6
X
106
W = 3.6 MJ
36.4 Two
other metric units used for the expression of energy are the kilogram-force
iiietrc*
( k f g
ni)
and
the litre atmosphere.
1
kgf m
=
9.806 65
N m = 9.806 65
J
1
litre atm osphere
=
1 dm3 x
101 325
Pa
7 - 101.325
Pa
in3
= 101.325
J
(The litre used he re is equal to
i
decimefre cubed (see
4.3),
and the atmosphere used
is
the standard atinos-
phere (see
32.Q.)
36.5 Some corresponding imperial units used for the statement of energy are the foot poundal (ft pdl), the
foot pound-force (ft Ibf) and the horsepower hour (lip
li).
1 ft pdl = I x
0.3048
m
x 0.453
592
37
x
0.3048
N see 31.3)
=
0.042 140 1 J (approx.)
I
ft
Ibf L- 1 x
0.3048
m x
0.453 592 37
:
9.806 65
N see 31.3)
= 1.355 82 J
(approx.)
1
lip h
=
550
ft lbf/s
x
3600
s
(see
37.3)
= 2.68452 x 106 J
(approx.)
= 1.98 x 106
ft lbf
36.6
Heat units.
Heat is one of the forms of energy and, a s stated abovc, tlic Si unit for all forms is the
joule. The following heat units originally arose from the concept of the heat required to warm unit mass of
water throu gh u nit tem perature, but so me of these are now precisely defined
in
terms of the joule:
the various calories (originally relating t o the gram
of
water
aiid
the deg ree Celsius);
the various British
thermal units
(originally relatiiig to the pou nd of water and degree Fahrenheit)
;
and
the various
Centigrade
heat units (based on the po und of water and the degree Celsius).
Th e specific heat capacity of water changes with temp erature and a num ber of different calories, British
thermal units, and Centigrade heat units came into use according to their
memis
of definiiioii.
Three of tlie calories are still in some practical use and
in
precise work need to be separately identified.
These are the In terna tiona l Table calorie (cailT), the therm ochemical calorie (cal,,,)
and
tlie
15
C
calorie
(cal
5)
described below
:
I
calIT
= 4.1868 J
(as
defined at the F ifth International C onference
on
Properties
of
Steain, London
1956).
I cal,,, = 4.1840 J (a '
defined
'
calorie).
I
cal
15 = 4.1855
(approx.) (This is defined
as
the amount of heat required to
\varni
I g of air-freewa ter
îrom
14.5
"C to 15.5 C at a constant pressure of
1
atm. The joule equivalent shown above wíis
adopted by the
CIPM i n 1950
as being the most accurate value which could then be deduced
from experinien
.)
Associated with the cal15 are the thermie (tli), also sometinies describcd as
the '
tonne-calorie
'
and the
1
thermie
= 106
cal15
= 4.1855 MJ
(approx.)
1
frigorie
= - O 3
call5
= -4.1855 kJ
(approx.)
frigorie, used in connection with tlie extraction of heat.
*
Known as the kilopond metre (kp m) n Germany.
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e
BS 350 Part i
1974
Energy
The
'
calorie
'
commonly referred to
in
nutritional science is
in
fact
a
kilocalorie, which
is
sometimes
called a
'
kilogramcaloric
'
or
'
arge caloric
'.
n this standard, if the symbol
cal
is used with out qualification,
i t
refers
to
the International Table calorie
(callT).
The dietitians calorie is based
on
the
call5.)
The most important British thermal unit (Btu), aiid the one used throughout this standard,
is
the
one
corresponding to the International Table calorie and is defined
by
the equation:
I
Btu/lb
=
2.326
J/g
thus
1
Btu
=
2.326
x
453.592 37
J
=
1055.06
I
approx.)
Among other British thermal units formerly in
use
but now obsolescent are:
the
'60 F
British thermal unit
'
(heat required to warm
1
lb of w ater from
60
F
to
61
O F ) .
1 BtU60/61 = 1054.5
J (apprOX.)
the
'
mean British thermal unit
' ( i / i 8 0 of tlie
heat required to warm i Ib of liquid water from
32 F
I
Btu,,,"
-= 1055.8 3
(approx.)
The British thermal unit used for
most
purposes by the British Gas industry relates to the 15 C aloric
to 212 O F ) .
and
is
equal to:
-
1054.73
(approx.)
.1855
4.1868
.326 X 453.592 37 J x
Associated with the Btu is the therm, used as an energy
unit
by the G as Industry.
1 therm = 100
o00
Blu = 105.5
M J
(approx.)
The ' Centigrade heat unit (C.H.U.), based on the Ib
of
water and tlie
OC,
s still sometinies used.
I C.H.U.
1.8
Btu (but
to
each British thermal unit there corresponds
a
Centigrade heat
m i t )
1
C.H.U.,,,,, = 1.8
Btu,,,ciin=-1900.4
J
(approx.)
For
interconversion
factors for most of
the above units see
Tables36a
and
36U.
59
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--
BSI B S * 3 5 0 :
P A R T * L
7 4
L b 2 4 b b ï O L L b L 7 7 7
m
~
B S
350 Part I
:
1974
Energy
O
.
I
X
n
2
-I
Y
3
9
0,
x
00
z
F.l
3
rl
.
3
X
n
FI
ri
r
s
X
O
3
N
v1
23
3
X
?
F
Q\
P
I
X
Co-
3
9
2
X
I-
O
n
2
t
3
2
X
W
A
X
%
O
e
I--
2
-
v>
3
X
iD
0,
X
4
CI
w
2
c?
o
fi
O
i
-
II
II
I
I II
II
22
7
.o,
h
60
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Energy
m
2
X
I-
O
vl0
c
m
0,
2
X
t-
W
a
W
2
t2
X
6 1
CI
61
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BS 350
Part
1 :
1974
Power
37. Power
(energy/time)
37.1
The coherent SI unit for all forms of power, including heat flow rate, is the watt (symbol
W),
which
is
equal to the joule per second.
1 W = I
J/s
The kilowatt
(kW)s
a commonly-used m ultiple of th e watt.
37.2
Tw o metric technical units of power are the kilogram-force metre per second (kgf
m/s)
and the metric
horsepower*.
A P a m n d e à
1 kgf m/s = 9.806
65 31s = 9.806 65 w
1 metric horsepower =
75
kgf m/s =
735.499
W
uly 198.3
37.3
Similar technical units
in
the imperial system are the
foot
pound-force
per
second
(ft Ibf/s)
and the
horsepow er (hp).
1 ft lbf/s
= 1.355 82 J/s
(see 36.5)
= 1.355
82
W
1 hp =
550
ft lbf/S =
745.700
W
37.4
The
following
is a selection of heat flow units shown in terms of the watt:
calorie
per
second
1 cal/s = 4.1868
W
British thermal unit per hour
'
on of refrigeration
'
=
12
o00
Btu/h
=
3.516
85
kW
kilrocalorie per
hour 1 kcal/h
= 1.163 W
}see
36.6
1
Btu/h = 0.293
071 W
For interconversion factors for most
of
the above units see Table 37.
The metric
horsepower
goes
under
the
name
'
cheval
vapeur
*
in
Francs
and
sometimes
the
Symbols
ch
or
CV
arc
used.
In
Germany
t
is called
the
'
ïerdeatgrke*
(symbol
PS).
62
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a
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d
2
n
a
8
k,
g
33
ril
o
I
X
s
Fs
s
y
w
Power
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BS
350 Part I : 1974
Temperatu e
38.
Temperature, including temperature dif ference or interval
38.1 The SI unit of temperature
is
the kelvin
(K).
It is one of the base units of the SI aiid is defined as a
specified fraction (&-J of the thermo dynam ic tempe rature of the trip le po int* of water. The kelvin is
used fo r the expression of thermody namic temperature, for which the datum is absolute zero:
i t
can also be
used for the expression of any temperature difference or temperature interval.
38.2
The temperature unit in most practical use in metric countries, and recognized for use in conjunction
with the
SI,
s the degree Celsius ( O C , The now incorrect terni
‘
Centigrade ’ is still in widespread use for
Celsius. The zero datum for Celsius temperature (O ‘C) is now exactly defined by the thermodynamic
temperature 273.15 K ; formerly it was defined by the melting point of ice at 1 atm, The units o f temperature
1983
difference, one degree Celsius and one kelvin, are exactly equal, by definition. In this sense
and any temperature difference therefore has the same numerical value when expressed
i n
OC as it has
when expressed in K.
For formulae showing the interrelationships between Celsius temperatures and thermodynamic tempera-
tures expressed in kelvins, and some other temperatures mentioned below, see Table 38.
38.3 Traditional in practical use in the UK and USA s Fahrenheit temperature, now being rapidly displaced
by Celsius. The Fahrenheit scale is not formally defined, but i t is generally recognized that:
i ° C =
1 K
32 O F s the ice point
212 O F is the boiling point of water a t 1 atm
and that the un it of temperature difference one degree Fahrenheit I O F ) is equal to five ninths of the unit
of
temperature difference the degree Celsius (1 OC). In this sense
1 ° F = (:OC) = (:IC)
Fo r form ulae giving the interrelationship between Fahrenheit, C elsius, and other temperatures see Table 38.
38.4 For thermodynamic temperatures, the degree Rankine (OR) is still occasionally used. The un it
interval of the degree Rankine is equal to
1
O F , a thermody namic temperature of
O O R
being absolute zero.
See Table
38.
38.5 In the last edition of this standard, for temperature interval the letters ‘ deg ’ were recommended,
instead of the degree sign
( O )
which was reserved for temperature. In 1967-68, the 13th CG PM considered
the arguments for and against this practice and decided to recommend that the use
of
‘
deg
’
should be
discontinued.
38.6 For the purpose of practical measurements the CIPM adopted i n 1968 the ‘ nternational Practical
Temperature Scale of 1968
’,
IPTS - 68, based o n reproducible fixed points an d interpolation instruments
and procedures. The IPTS - 68 has been designed so that the International Practical Kelvin and Celsius
temperatures closely approximate the Kelvin and Celsius temperatures described in 38.1 and 38.2. The
IPTS - 68 is defined only from a thermodyna mic temperature of 13.81 K upwards.
*
The temperature at the triple point of water, (where water, ice, and water vnpour are in equilibrium) is very
slightly
removed
from the temperature of the melting point of ice at atmospheric pressure (the ice point).
64
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BS 350 Part I : 1974
Temperature
Specific energy
Table
38.
Equivalent values on fo ur temperature scales
For the
bdme
temperature,
if [T]
K ,
[0] OC,
[t] O F and [r] O R represent that temperature o n the Kelvin,
Celsius, Fahrenheit and Rank ine scales respectively, then the formu lae relating the pure num bers [TI
O],
[t] and [r] are as shown below.
(kelvins)
UI>lL~l l l l l
i
5 5
Jeli
I W
/ T /
=
/ e /
+ 273.15 = -
( I t /
+ 459.67) =
9
Ir]
9
(degreesCelsius)
í r ]
-
491.67)
- 5
9
/ e / = / T I - 273.15 =
( i t ]
- 3 2 ) - -
9 9
= Ir] -
459.67
degrees Fahrenheit)
/ I /
= / T / - 59.67 =
I,
/ e / + 32
- -
[ e /
+ 491.67
= / t /
+ 459.67
- 5
(degrees Rankine)
NOTE.
emperafure difference.
For
the same temperature difference:
5
9
temperature difference
in
C
or
K)
=
-
(temperature difference
in
OF
or
OR).
39. Specific energy
[(energyor heat)/massl
39.1
There a re several different terms for energy per u nit mass which a re used in different contexts, e.g.
specific enthalpy
specific laten t heat
calorific value, m ass basis
The SI unit for all such quantities is the joule per kilogram (J/kg).
kilocalorie per kilogra m (kc al/kg) (see
36.6)
kilogram-force metre per kilogram (kgf m/kg)
1
kcal,,/kg = 4186.8 J/kg
1 kcalth/kg = 4184 J/kg
1 kcalis/kg =
4185.5
J/kg (approx.)
I kgf m/kg =
9.806
65 J/kg
39.3
Corresponding imperial units are:
British thermal unit per pound
foot pound-force per pound
1 Btu/lb =
2326
J/kg
1
f t
lbf/lb =
2.989
07 J/kg (approx.)
For interconversion factors s ee Table 39.
39.2
Othe r units sometimes used in metric countries are:
(Btu/lb)
(ft lbf/lb)
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B S I B S * 3 5 0 : P A R T * L 74 Lb24bbï O L L b L 8 3 2
=
BS 350 Par t I : 1974
Specific
energy
3
3
n
3\
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BS 350 Part 1 :
1974
Heat content, volume basis
40. Heat content, volume basis (heat/volume)
40.1 The
SI
unit for this quantity, which is mainly used in
connection
with the combustion of gaseous or
liquid fuels, is the joule per cubic met re (J/m3). For
most
practical purpose s either the kJ/m3 or MJ/m3 are
suitable multiples.
40.2
Units that have been in common
use
in metric countries are:
e.g. calor if ic value, vo lume basis
kilocalorie per cubic metre (kcallm j) (see
36.6
for th e various calories)
thermie per litre (th/Utre)
1 kcal,,[mJ = 4186.8
J/niJ
1 kcal,,/m3 = 4184 J/m3
1 kcal&3 = 4185.5 J/m3
1 thermie/litre
=
4185.5
x 106
J/m3 (see
4.3
for litre)
40.3 Correspo nding imperial units are:
British thermal unit pe r cub ic foot (Btu/ft3)
therm per UK galloii (therni/UKgal)
I
Btu/ft3
1 therm/UKgal = 2,320 80 x 1010 J/m3
= 37
258.9 J/m3
40.4
In
the above and in Table
4ûu
i t
is
assumed that, where
guses
are
concerned,
he volumes involved in
the conversion have the same reference conditions of temperature, pressure and
humidity.
For some
con-
versions
of
calorific value (volum e basis), when the reference conditions ar e different,
see
Tables
406
and
4oc.
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BS 350 Part I : 1974
Heat con tent,
volume basis
I
n
3\
2
4
?
Fl
m
II
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BS
350
Part I : 1974
Heat content,
volume basis
(u
O
c
O
e
*
9
69
O
in
2
ò
It
c
U
n
a
8
B
E
(u
O
-
II
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ES1 B S * 3 5 0 : P A R T * 3
74
624669
0336387
T
~
orie)
Sat
BS 350
Part
1 :
i974
Hg (i5 calorie)
Dry
I
Sat
Heat
content, volume basis
Specific heat capacity
40c.
Conversion factors
used
by the
UK
Gas Indust ry
The following information and conversion factors are extracted from the booklet 'SI Units and conversion
factors for use in the B ritish Ga s Industry ' ssued by the G as C ouncil and Society of British Ga s Industries,
May
1972
edition.
Dry Sat
1 0.9832
I
.O1 7 1
0.037
3 1
0.036 69
0.037 97 0,037 34
0.037 30 0.036 67
0.037
96
0.037 32
~~ ~~~~
~
The conversion factor for converting from British thermal units per cubic foot (m easured at
60
OF,
30
inches Hg (@ 60
OF
53
ON
nd satu rated with water) to megajoules per stand ard cub ic metre (measured
at 15
C 013.25
mbar and dry) is:
1 Btu/ftJ =
0.037 96
MJ/m3
Other conversion factors for various conditions are given in the table
below.
Whereas two bases for the British thermal unit are included, for practical purposes there is
no
sigiiífi-
cant difference between them.
In
the gas industry the British thermal unit is based on the
15 O
calorie.
1
MJ/mJ
= 26.34
Btu/ftJ
Dry
26.80
27.26
1
1.018
0.9997
1.017
MJ/m-'
15
OC
1013.25
mbar
26.33
26.78
Bt
u/
t3
M)O F 30
inches
Hg (Internationa l calo rie basis)
26.81 26.34
27.27 26.79
Btu/ft3
60"F30
inches
Hg 115 O
calorie basis)
0.9826
1
0.9823
0.9997
-
Dry
Sat
1.ûOû 0.9829
I
1.018
Dry
Sat
-
Dry
Sat
-
MJ/mJ
15OC
I Btu/R3
60
OF, 30 inches
This tiote is for users of BS 350 and is not part of the G C/SB GI booklet.)
Attention is called t o the foilowing differences in th e reference bases
of
Tables
4Oh
and
4Oc.
(1)
In Table 4ûb the only British thermal unit used is the one corresponding to the International Table calorie (sec
36.6).
n Table
4oc
his Btu
is
indicated by th e parentheses (International calorie basis)
or (IT
calorie), and factors relating to a
Btu
d on the 15
C
alorie are stated in the preamble above the table and included in th e table.
(2)
The pressure ' 30 inches
Hg
' s shown and under th e conditions stated in Table 4Oc is given as being eqiial
to
1013.7405
30
inHg
shown in Table 406 (and as defined at 32.5) is, approximately, 1015.9166 mbar.
Specific heat capacity"
[heat/(mass
x
temperature interval)]
Th e SI unit of specific heat capacity is the jou le per kilogram kelvin
(J/(kg K)).
Th e degree Celsius is often used in the expression of the abov e unit:
I
J/(kg OC)
= I
J/(kg
K)
a
similar rema rk ap plies wherever kelvin or K is m entioned in the re main der of section
41.
Other m etric units are:
kilocalorie per k ilogram kelvin (kcal/(kg
K))
(See
38.6
for the various calories.)
kilogram-force me tre per kilogram kelvin (kgf m/(kg
K)
)
1 kcal,,/(kg K)
= 4186.8
J/(kg K)
1
kcal,,/(kg K)
= 4184
J/(kg
K)
I kcallS/(kg K)
=
4185.5 J/(kg K)
1 kgf
m/(kg K)
= 9.806 65
J/(kg K)
Corresponding imperial units are:
British thermal unit
per
pound degree Fahrenheit (Btu/(lb
O F ) )
foot pound-force per pound degree Fahrenheit (ft Ibf/(lb
OF
I
Btii/(lb
OF
1
ft lbf/(lb OF)
= 5.380 32
J/(kg K)
=
4186.8
J/(kg K)
inteaconversion factors
for
the above units see
l'able
41.
The older and simpler t e m
'
pecific heat
'
eferred
to
heat capacities, usually
on
a
mass
basis but sometimes
on
a
volume
Jt i s now preferred
to
reserve for
'
pecific' lie meaning
'
per
unit
mass
'.
70
O
0
a
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BS 350 Part i
1974
Specific heat capacity
F
2
o
Q\
-
'o
W
G
7
U
m
W
n
v>
0:
W
N
t
I-
2
a
lo
u5
I-
-
H
c>
2
X
I-
O
'o
U
N
-
m
2
s
X
v>
U
N
-
o
0,
f l
X
o\
CU
m
O
P
-
m
E?
X
W
O
O
Q\
O
N
-
O
O
9
-
I-
W
Q
m
E:
2
X
W
CU
O
N
-
rl
rl
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BS 350 Part I
:
1974
Specific
entropy
Heat capacity,
volume basis
42.
Specific entropy [heat/(mass
x
thermodynamic temperature)]
Table
41
may also be used for the conversion
of
values
of
specific entropy, expressed
in
jouies per kilogram,
kelvin, J/(kg K), in kilocalories per kilogram kelvin, kcal/(kg K), or in British thermal units per pound
degree Ran kine,
Btu/(lb OR).
43. Heat capacity, volume
b a s k *
[heat/(volume x temperature interval)
43.1 The
SI
unit
of
heat capacity, volume basis, is the joule per cubic metre kelvin (J/(mJ K)).
43.2 The degree Celsius is often used in the expression
of
the above unit:
I
J/(m3
O C = 1
J/(m3
K)
and a similar remark applies wherever kelvin or
K
is mentioned in section 43.
43.3
Other metric units are:
kilocalorie per cubic m etre kelvin (kcall(m3
K))
(see
36.6
for the v arious calories).
4
kcalIT/(m3K) = 4186.8 J/(m3 K)
1
kcal,,/(m3
K)
= 4184 J/(m3
K)
1
kcalls/(m3
K) =
4185.5 J/(m3
K)
43.4 The corresponding imperial unit
is:
British thermal
unit
per cub ic foot degree Fahrenheit (Btul(ft3
OF))
1 Btu/(ft3 O F
=
67 066.1 J/(m3
K)
For interconversion factors for the above units see Table 43. In Table 43 and in the abo ve conversion factors
it is assumed that, for gases, the volumes involved in the conversions are measured under the same con-
ditions of temperature, pressure and humidity.
*
This is sometimes
known
as
'
pecific heat, vo lume ba sis
'
but
see
footnote fo
section
41.
Table 43. Heat capacity, volume basis
Exact values
are
printed i n bold type.
I
I
I
I
1
oule per cubic metre
-
elvin? -
joule per cubic
metre kelvin?
JKm3 K)
1
kilocalorie$
per
cubic metre
kelvin
kC&~/(ni~
)
0.238 846 x 10-3
thermochemical
kilocalorie per
cubic metre
kelvin
k d d ( m 3
K)
0.239 006 x
10
-3
15
Ckilocalorie
per
cubic metre
kelvin
kwhd(m3 K)
0.238 920
X l O - J
4186.8 I
1
1
kilocalorie$ per cubic
metre kelvin
kcallT/(rn3
K)
1.ooO 67
l.OO0 31
1 thermochemical kilocalorie
per cubic metre kelvin =
kcal,,,/(mJ
K)
1
15 C kilocalorie per
-
ubic metre kelvin -
k C a l d m 3K)
1
British thermal unit per
cubic foot degree
Fahrenheit -
Btu/(fts OF)
-
1
0.999
642
184
0.999
331
4185.5 0.999 690 1.O00 36 1
67
066.1
16.0185 16.0292 16.0234
British thermal
unit
per
cubic
foot
degree
Fahrenheit
Bhi/(ftj "F)
14.910 7 x 10
-6
0.062 428
O
-
0.062
386
2
-
0.062
408 6
1
t Wherever the kelvin occurs in this table it may bereplaced by th e degree Celsius (
C),e.g.
J/(m3
K)
s often show as
J/(rn3
OC).
$ This is th e International Tab le kilocaforie. For a description
of
the th ree calories mentioned see36.6.
NOTE. n
his table it is
assumed
that, for gases, the volumes involved in the conversions are measured under th e
same
conditions
of
temperature, pressure a nd humidity.
.
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BS 350 Part I
:
1974
Heat
flux density
4 4 Heat flux density (heat/(area
x
t ime))
44.1 The SI unit for this quantity, which is sometimes known as intensity of heat f low rate and commonly
appears,
for
example, in calculations
of
heat losses from surfaces, is the watt per square m etre (W/m2).
44.2 Other metric units are:
calorie per square centime tre second (cal/(cm2 s))
(see 36.6
for the various
calories)
kilocalorie per
square
metre hour (kcal/(m2 h))
1 calIT/(cm2
s)
= 41
868
W/m2
1kcaliT/(mz h)
= 1.163
W/m2
British thermal un it per square foot h our (Btul(ft2 h))
wa tt per square inch (Wlin2)
1 Btul(ft2 h) = 3.154 59 W/m2
1 WIin2 = 1550.00 W/m2
44.3 Correspond ing units in the imperial system are:
For conversion factors
for the
above see TabIe
44.
Table 44. Heat flux density, intensity of heat flow rate (ag . heat loss from
surfaces)
Exact figures are printed in
bold
type.
W/m2
1watt per square metre = 1
W/m*
1
wa tt per square inch
= 1550.00
W/in2
1calorie* per square
centime tre second
=
41868
W1iT/(cm2s)
1kilocalorie* per square
metre
hour = 1.163
kCa1,T/(m2 h)
-
1British thermal unit
per square foot hour
=
3.154 59
Btu/(ft2 h)
*This refers
to
the International Table calor ie.
0.238 846x 10-4
3.702 12x 10-2
I l
7.0116
ir
other caloriessee
36.6.
0.859 845 I 0.316 998
1332.76 491.348
%o00
13 272.
i
1 0.368 669
2.71246 1
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BS
350 Part I :
1974
Thermal
conductance
45. Thermal conductance (heat transfer coeff ici ent)
[heat/(area x time x temperature difference)] or [power/(area x temperature difference)]*
45.1 The SI unit is the watt per square metre kelvin [W/(m2 K)]
45.2 The degree Celsius
( O C )
is often used in the expression of the above unit:
and
a
similar remark applies wherever kelvin or K is mentioned
in
sectioii 4 5
45.3 Other m etric units are :
1
W/(m2
OC) =
1
W/(m2
K)
calorie per square centimetre second kelvin [cal/(cm 2 s
K)]
kilocalorie per square metre
hour
kelvin
[kcal/(rna
li
K)]
1 caI/(crn2 s IS) = 41 868
W/(m2
K)
1
kcal/(m2 h K )
=
1.163 W/(nG K)
45.4 The imperial unit in com mon use is:
British thermal unit
per
square foot hour degree Fahrenheit [Btu/(ft2 h “F)]
I dtu/(ft2 li
O F )
= 5.678 26 W/(m2 K)
(The conversion factors given below refer to the Iiiternational T able calo rie, sce
38.6
for other calories.)
For interconversion factors
for
the
above
units see Table
45.
Table 45. Thermal conductance
Exact
values
are printed in bold type.
\V/(mZ K)P
cal$/(cmz s K) kcai$/(mz h
K)
-
1
watt
per
square
metre kelvin? = 1 0.238 846 x IO -4 0.859 845
W/(m2 K)
1 calorie$ per square
centimetre secoiid kelvin
=
41
868
1 36
O00
cal/(c&
s K)
i
kilocalorie$
per
square
metre hour kelvin = 1.163 2.777 78 x
10-5
1
kcal/(mz h K)
1 British thermal unit per
square foot hou r
degree Fahrenheit
=
5.678 26 1.356 23 x IO -4 4.882 43
Btul(ft2 h
O F
0.176 110
7373.38
0.204
816
1
O
e
*
Also
corresponds to (heat flux density/temperature difference).
I_ Wherever the kclvin occurs in this table it may be replaced by tho
degree Celsius:
e.p.
W / ( d
K)
is ofteii
sliowii
as W/(nii-OC)
3 This
refers
to
the International Table calorie. For other calories sce
36.6.
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BS
350 Part 1 : 1974
Thermal conductivity
0.577 789
46.
Thermal conductivit y
[heat
x
length/(area x time x temperature difference)]
46.1
The
SI
unit is the watt per metre kelvin [W/(m K)]
46.2 The
degree Celsius
( O C )
is often used in the expression
of
the abov e unit:
1
W/(m
O C )
==
1
W/(m
K)
and
a
similar
remark applies wherever kelvin or
K
is mentioned
in
section 46.
46.3 Other metric units are:
calorie per centimetre second kelvin
kilocalorie per metre
hour
kelvin
I
cal/(cm s
K)
= 418.68 W/(m
K)
1
kcal/(m h
K) =
1.163 W/(m
K)
[cai/(cni s
K)]
[kcaI/(m
h K)]
(Theconversion factors given below refer
to
the Internationai Table calorie. See
36.6
for other caiurics),
46.4
Two imperial units in com mon use are:
British thermal unit per foot hour degree Fahrenheit
[Btu/(ft
11
F)]
British tliernial unit inch per sq uare foot
hour
degree Fahrenheit
1 Btu/(ft h O F )
I
R t i i
in/(ftz
li
'F)
--
0.144 228
W/(m
K )
[Btu in/(ftz h O F ) ]
= 1.730 73 W/(in K)
6.933 47
For interconversion factors for
the
above units see l'able 46.
1.488 16
0.124 014
~
Table 46. Thermal conducti vity
1
caloriet per centimetre
second kelvin
=
cal/(cm
s K)
Exact figures ar e printed in b old type.
kcal/(m h K)
' 418.68 1
l I -I
1 kilocalorie* per metre
hour kelvin
=
kcal/(m h
K)
I
0.238 846x
10-2
=I
watt per metre kelvin*
W/(m K)
1.163
1
British thermal unit per
foot
hour degree Fahrenh eit=
Btu/(ft
h°F)
1.730 73 4.133 7 9 x
10-3
2.777 78
x
10
-3
1
British thermal unit inch per
square foot hour degree
=
Fahrenheit
Btu
in/(ft2 h O F )
0.859 845
0.144 228
3.444
8 2 x
10-4
360
1
Bíu/(ft h
'F)
Btu in/(ft2
h
J
2902.9141.909
-
1
I 1 2
0.083
333
3
1
Wherever the kelvin occurs in this table it ma yb e replaced by the degree Celsius
Oc)
e.g. W/(m K)
s
often shown a s W/(m
O C ) .
P
This
refers
to
the International Table caloric. F or other calories see 36.6.
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BSI B S * 3 5 0 : P A R T * &
74
b24bbï
O l i l b L 9 3
5
~~
BS 350 Part
i
1974
Therma
I resist
vi
y
47. Thermal resistivit y
[area
x
t ime x temperature dif feren ce/(heat
x
length)]
The
SI
unit of therm al resistivity (the inverse
of
thermal conductivity) is the metre kelvin per watt m
K/W).
Interconversion factors between tue
above and
some other units are given
in
Table
47.
Similar remarks con-
cerning the use
of
the degree Celsius and the other calories apply as in section
46
and T able
46.
Table
47.
Thermal resistivit y
Exact
figures
ar e printed in bold
type.
I m K/ W I cmsK/caì*
1 m K / W
= 1
418.68
1
cm
s
K/cal*
= 0.238 846 X 10-2 1
360
241.909
1
ft2 h OF/(Btu
in) = 6.933 47
2902.91
I
I
It2 h 'F/(Btu in)
i.144 228
m
h
K/kcal* it h 'F/Bîu
1.163
1.730 73
~~~~~~ ~~
2.777
78
x
10 -3 I 4.133 79
x 10 -3
1 3.444 82 x
10-4
1 1.488 16 0.124 014
0.671 969 1 0.083 333 3
8,063 63 12 1
-
*
This refers
to
the International Table calorie.
For
othe r calories
see 36.6.
NOTE. For thermal conductivity, s e e Table 46, the
notes to
which also apply here.
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8
1 wa tt per cubic metre
1 calorie* per cubic
W/m3
centimetre second =
cal/(cm3 s)
1
kilocalorie* per
cubic metre ho ur
=
kcal/(m3 h)
1 British thermal u nit
per cubic foot hour =
Btul(ft3
h)
*
watt
per cubic
metre
W/m3
= 1
4.1868~106
1.163
10.3497
BSI
~
BS*350:
~~~
P A R T * l
~ 7 4
_________
œ 3 6 2 4 6 6 9 O l L b L S Y 7 œ
_
-~ -
BS
35Ö:Part
I 1974
Heat release rate
Thermal diffusivit.y
48.
Heat release rate (ems .
s
used
in
connection
with
furnaces)
[heat/(volume x time)], or (power/volume)
48.1 The SI unit for this quantity
is
the watt per cubic metre (W/m3).
48.2 Other metric units are:
calorie per cu bic centimetre second
kilocalorie per cubic metre hou r
The conve rsion factors given below refer to the International Table calorie. (See
36.6
for other calories).
1 cal/(cm3 s) = 4.1868 x 106W/m3
1 kcal/(mj
h)
= 1.163 W/m3
British thermal unit per cubic
foot
hour
1 Btu/( ftJ h) = 10.3497
W/m3
[caI/(cm3
s)]
[kcaI/(m3
h)l
48.3
A similar imperial unit is:
[Btu/(ft3 h)]
For
interconversion factors for
the
above units see Table
48.
Table
48.
Heat release rat e
Exact values are printed in bold type.
1
I I
caiorie*[cubic
centirnetre
second
cal/(cm3 s)
0.238 846x 10 -6
1
2.777 78
x
10-7
2.471 99
x 10
-6
kuocalorie*/cubic
metre hour
kcai/(m3 h)
0.859 845
3.6 x 106
1
8.899 1 5
I I I
* This refers to
the
International Table calorie. For other calor ies see 36.6,
1 W/cmJ = 106 W/m3 = 1 MW/m3.
49.
Thermal di ff usivity
(area/time)
British thermal
unit/cubic foot hour
BhJ(ft3
h)
9.662
l x
10
2
4.045 3 3 ~05
0.112 370
i
O
The S I unit of therm al diffusivity (which is thermal conductivity divided by heat capacity per unit
volume)
is the metre squared per second (mys).
Since kinematic viscosity has the same dimensions
as
therma l diffusivity, for un its and conversion factors
reference can b e m ade to Section
35
and Table
35.
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B S I B S * 3 5 0 : PART*L 74 L b 2 4 b b î
O L l b L 9 5
9
=
BS 350 Par t I
:
1974
Commentary
Appendix A
Commentary on imperial and metri c
systems of
measurement and un its
A.l Development of units. In the past, units have evolved in a haphazard manner to meet the basic iiieasure-
ment requirements of early and often unconnected societies. With improvement in communications and
extension of trade it became necessary to standardize the units in use and also to establish the relationship
between existing units used to measure the same physical quantities. Often, as this latter process developed,
the numerical factors relating one such unit to another w ere cumbersom e and difficult to use in calculations
(for example, the mile is 1760 yards and the U K ton is 2240 pounds). Moreover, while one physical quan tity
might be a simple derivative of anothe r, there was often no co rrespon dingly simple relationship between
their respective units, (for example, area an d volume are simp le derivatives of leng th, but
1
acre is484ûsquare
yards and 1
U K
gallon is 0.160
544
cubic feet).
As science and technology developed, many new aiid coinplex units were required. Inevitably these were
derived froin tlie available units
in
comm on usage and the result was a muddled co nglomeration of technical
units involving many awkwíird factors which were difficult to renieinber and inconvenient to use. The lea riiing
of these factors has long becii a necessary part of scieiitific aiid eiigiiieeriiig education.
A.2 Unit systenis and coherence. The va rious physical quan tities used in science and technology are related
to one another by certain mathematical or physical laws. For example, area equals length multiplied by
length, velocity equals length divided by time, force equals mass niultiplied by acceleration, momentum
equals mass m ultiplied by velocity.
In
a
coherent system of units, the units used to measure the various physical quantities are consistent
with these physical laws.
A
minimum num ber of independ ent physical quaniities are a rbitrarily selected
and base units a re defined for these. Units for all other physical quantities can then be derived in accordan ce
with the physical laws, preserving a unity relationship in terms of the base units. Thus, if unit area results
when un it length
is
multiplied by unit leng th, the units are cohe rent with the pa rticular physical law expressing
tlie relationship between length and area, and no factors are involved in calculations concerned with this
relationship.
With further developme nt of science and technology, certain ' systems ' of units c ame into use, (for example
the foot-pound-second system and the centinietre-gram-second system). While the base units concerned
were clearly defined, the total extent of each of these systems and also units for some physical quantities
were in certain respects vague. The units com prising these systems were coherent with respect to some of
the physical laws, but not
to
others.
A.3 Imperial systems
(in
technology). In British technology the most widely used system has been one in
which the base units for length, mass and time are the foot, pound and second respectively. But, in this
widely-used sy stem there is a non-coherent relationship between the units used for mass, force and accelera-
tion i.e. there is not ' dynamic coherence '. Th e unit of force used is the pound-force (sometimes described
as
a '
echnical unit of force '), aiid, because this force acting on
a
mass of one poun d produces an acceleration
of '
g ' (=32.2 feet/second2 approximately), the factor 32.2 is introduced in an awkward manner into m any
engineering calculations.
There are two other systems based on imperial units used in som e sections of industry which are dynam ically
Coherent. The first is a variant of the foot-pound-second system which has the pou ndal as its force unit.
The poundal acting on a mass of one pound produces a n acceleration of unity (1 foot/second2). The o ther
is the foot-slug-second system in which the mass unit is the slug (=32.2 lb approximately) and the force
unit the pound-force. Again, the acceleration produced by the pound -force on the slug is unity.
In the above, only dynam ic coherence
has
been m entioned. While this is of vital importanc e in mechanics,
there are many o ther im portant physical quantities aiid laws; further base units had to be introduced and
the corresponding units that came about in con junction with these imperial systems were frequently non-
coherent. Furthermore, in dealing with the foot-pound-second, and foot-slug-second systems, there are
the
practical complications in calculations caused by the awkward relationships between the foot, inch and yard,
and the pou nd and ton. In the measurement sense these units all form pa rt of th e imperial system.
A.4
Comparison
of Uniteù
Kingdom (UK or imperial) and United Sta tes systems
of
measurement. The yard
lias the same value in b oth the
UK
and US systems and is defined in terms
of
the SI base unit of length,
the metre. Similarly, the pound lias the sam e value in the UK and US systems and is defined in terms of
the
SI
base unit of mass, the kilogram.
78
8
a
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BSI
BS*350:
P A R T * &
~ 7 4~~ =
L b 2 4 b b ï O L L b l S b O m
_ ~
_ _
~ -
BS 350
Part
1
: 1974
Commentary
T h e
U K
Weights and Measures Act,
1963,
makes these deíìnitions valid for all purposes in the
UK. Jn
the
USA
the same definitions are valid for all purposes except for coast and geodetic surveys within the
USA, for which the foot previously adopted there will continue temporarily to be used under the name
'
US
survey foot
'.
Most
of the subsidiary units of length are identical in both the UK and
US
ystems.
There are marked differences between some subsidiary units of mass used in the
UK
and
US
systems,
notably in the
'
ong
'
and
'
short
' ons
and hundredweights. These differences arise from different whole
num ber relationship s between units.
The re are also m arked differences between the sub sidiary units of capac ity used in the UK and
US
systems,
These differences arise both from some different whole number relationships between units and also from
different definifions of capac ity in the two systems.
I n
order to avoid confusion where those differences occur, the units to be distinguished are denoted by
the use
of
prefixes, for example:
U K
gallon, symbolized by
UKgal
US gallon, syiiibolized by USgal
This notation is similar to one ado pted by the International Organiza tion for Standardization
(ISO).
In
certain contexts the qualification ' mperial ' or ' mp ' s also used to make it clear that the unit qualified
by
U K
does in fact belong to the imperial system of units.
A.5
The metric system of measurement.
I n
Britain, units of length, weight (mass) and
so
on have
been
standardized fo r
a
long time, but prior to the adoption
of
the m etric system this was not the case in France
and
in
other con tinental countries. When the metric system was introduced
it
met two main requirements.
Th e first was the standardization and definition of the impo rtant units of measurement, the metre for length
and the gram for mass, from w hich other units then required for general use an d for trade were derived.
The second was the provision
of
a
conven ient and system atic relationship between different-sized units for
the same quantity. These were related by pow ers of ten and
a
system of prefixes developed to ind icate these
powers. This gave
a
flexible means of expression for
a
wide range of m agnitudes, avoiding theneed for very
iarge or very small numerica l values, an d enabled the different-sized units to be mem orized and con verted
with ease.
A.6 Metric
systems
(in science
and
technology).
In
technology, as a t present and taking all countries into
accoun t, probably the most widely used m etric system is one in which the base units for leng th, mass and time
are the metre, kilogram and second respectively, but in which there is
a
non-coherent relationship between
the units for mass, force and acceleration. Th e unit
of
force used is the k ilogram-force (sometimes described
as
a '
et ric technical
unit of
force
'),
and because this force acting
on a
mass of
1
kilogram produces an
acceleration of ' g ' (9.81 m/s2 approximately) the factor 9.81 is introduced in an awkward manner into
many engineering calculations. The system
is
being steadily superseded by the In ternational System (SI),
mentioned below.
The re are othe r metric systems still in use in so me sectors of industry a nd science which are dynamically
coherent, and from the first two of which the d evelopment of the
SI can
directly be traced. Som e are:
Description
and abbreviation msss unit force unit
centimetre-gram-second
(CGS)
gram dyne
metre-kilogram-second
(MKS)
kilogram newton
metre-tonne-secottd (MT S) tonne sthène
Scientists were quick to recognize the convenience
of
the m etric approach in the
CGS
and this system
was developed by them to m eet their imm ediate needs, according to their knowledge a t the time, and among
other things it served in the development of electrostatics and electromagnetism. Although it gained con:
siderable usage
in
industrial technology, many of the associated units were inconveniently sized for this
purpose. I t was also clear that inore than the three base units provided in the
CGS
were required in the
framework of the metric system to deal adequately with the physical quantities required in science and
technology, and tha t some of th e subsidiary w it s th at had come into use in conjunction with
the CGS
were not coherent.
These factors led in d ue course to th e evolution of the MKS ystem, thence to the MKSA , incorporating
the independent quantity electric current and the base
unit
ampere. This system embodied the joule as
the derived and coherent unit of energy in ail its forms, and the w att as the u nit of power.
A.7 Th e Inte ruatio uai System
of units (SI).
This, som etimes described as the 'modern metric system ', is the
most recent extension of the metric system, expanding
on
the
MKS
o include
a
total of
seven
base units
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B S I
B S X 3 5 0 : P A R T * &
7 4
m
L b 2 4 b b 9 O L l b L 9 7
2 m 1
BS 350 Part I
:
1974
Commentary
and two suppleincntary units which, in conjunction with derived units,
will
meet ali known needs for
a
coherent system of units both in science and technology,
Th e base and supplementary quantities, and their units (defined in BS 3763) are:
Quantity Name o f unit Symbol
Length metre (Base) m
Mass
kilogram
1,
kg
Time
second
3,
S
Electric current
ampere $9
A
Thermodynamic temperature
kelvin
Y >
K
Amount of substance
mole Y,
mol
Lum inous intensity
candela
9 ,
cd
Plane angle radian (Supplementary) rad
Solid angle
steradian 39 sr
There are, for practical applications or fo r everyday life, certain other un its, some metric and some non-
metric, which at present are authorized for use in conjunction with the International System. Such units
are listed in ca tegories in BS 3763 : 1970 and their use introduces an elem ent of non-coherence.
The m etric prefixes, which now form part of the International System, are
shown
in detail in 1.1. As
is
evident from the foregoing description of a coherent system, the use of multiples in the form of a prefix
also introduces non-coherence, but in the SI the prefìxed units still retain a simple decimal relationship
one with the other. T his is an imp ortant feature, which is not sacrificed by the fact that the base unit for
mass is the kilogram.
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B S I BSS350: PART*I(’L
7Y m
~~~
1624669 OLlb198
---- 4
m
-
~~
BS
350
Part
1
:
1974
References
Appendix B
References
B . l
Detailed conversion tables.
Detailed conversion tables for the units marked with an asterisk can be found
in
Asament/e<
PD 6203.
Length
inches to minimetres
millimetres to inches
fractions
of
an inch, in sixty-fourths, to decimals
of
an inch and to inillimetes (Range:
O
to
1
inch)
inches and fractions of an inch to millimetres
(Range: O to 12 inches)
inches to centimetres (Range: O to
109
inehes at
intervals of one inch)
feet to metres
metres to feet
feet and inches to metres
yards to metres
metres to yards
miles to kilometres
kilometres to miles
Area
square inches to square centimetres
square centimetres to square inches
square feet to square m etres
square metres to square feet
square yards to square m etres
square metres to square yards
acres to hectares
hectares to acres
square miles to square kilometres
square kilometres to square miles
Volume
Cubic inches to cubic centimetres
Cubic centimetres to cubic inches
Cub ic feet to cubic metres
Cubic metres to cubic feet
Cubic yards to cubic metres
Cubic metres to cubic yards
Cubic feet
to UK
gallons
TJ
K gallons to cubic feet
Cub ic feet
to
litres (1901)
Litres (1901) to cubic feet
U K gallons to litres (1901)
Litres (1901) to
UK
gallons
U K fluid ounces to millilitres (1901)
Millilitres (1901) to
UK
fluid ounces
*U K gallons to litres
*Litres to U K gallons
*U K fluid ounces to m illilitres
*Millilitres to
UK
fluid
ounces
M a s s per un it length
pounds per foot
to
kilograms per metre
kilograms per m etre to pounds per foot
*pounds per inch to kilograms per m etre
*kilograms per metre to pounds per inch
Mass
per un it area
*ounces (avoir) per square yard to kilograms per
*kilograms per square metre
to
ounces (avoir) per
square metre
square yard
Density
pounds per cubic foot to kilograms per cubic metre
kilograms per cubic metre to pounds per cubic foot
pounds per
UK
gallon to grams per m illilitre (1901)
grams per millilitre (1901
1
to pounds per U K gallon
81
July IYX.3
Second moment o f area
inches4 to centimetresd
centimetres4 to inches4
Angle
degrees, minutes and seconds to rad ians
radiacs to degrees, minutes and seconds
Velocity
feet per second to m iles per hour
miles per ho ur t o feet per second
feet per second to kilometres per hour
kilometres per hour to feet per second
miles per hour to metres per second
metres per second to miles per hour
miles per hour to
U K
knots
U K knots to miles per hour
Mass
grains to grams
grams to grains
ounces (avoir) to gram s
grams t o ounces (avoir)
pounds t o kilograms
kilograms to pounds
U K tons to tonnes
tonnes
to U K
tons
pounds to
UK
tons
UK
tons to pounds
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B S 350 Par t
I
: 1974
References
Force
pounds-force
to
megadynes
megadynes to pounds-force
*kilograms-force to newtons
"newtons to kilograms-force
*pounds-force to newtons
"newtons to poun ds-force
*UK
tons-force to kilonewtons
*kilonewtons to
UK
tons-force
Pressure, stress
pounds-force per square inch to kilograms-force
kilo4rams-force per square centimetre to pounds-
pounds-force per square foot to kilograms-force
kilograms-force per square metre to pounds-force
UK tons-force per square inch to kilograms-farce
kilograms-force per square milliinetre to
UK
tons-
U K
tons-force per square foot to tonnes-force per
tonnes-force per sq uare m etre to U K tons-force per
pounds-force per square inch to millimetres of
millimetres of m ercury to p ounds-force per square
millimetres of mercury to millibars
miliibars to inilliinetres of mercury
feet of water t o pound s-force per square inch
pound s-force per squ are inch to feet of water
*UK
tons-force per square inch to meganewtons
*meganewtons per square m etre to UK tons-force
*pounds-force per square inch to kilonewtons per
*kilonewtons per squa re metre to pounds-force per
*pounds-force per square foot to newtons per
"newtons per square metre to pounds-force per
"inches of mercury t o kilonewtons per square metre
*kilonewtons per square m etre to inches of mercury
*feet of water t o kilon ewton s per square m etre
*kilonewtons per square m etre to feet of water
*inches of water to kilonewtons per square metre
*kilonewtons per square metre to inches of water
per square centimetre
force per square inch
per square metre
per square foot
per squa re millimetre
force per square inch
square metre
square foot
mercury
inch
per square metre
per square inch
square metre
square inch
square metre
square foot
BSI
B W 3 5 0 :
P A R T * L 74
m
L b 2 4 b b 9
O L L b L 9 9
b m
82
Work, energy
foot pounds-force t o joules
joules to foot pounds-force
foot pounds-force to kilogram-force metres
kilogram-force metres t o foot pouiids-force
*kilowatt hours to megajoules
"megajoules to kilowatt hours
Power
horsepower
to
kilowatts
kilowatts to horsepower
Temperature
Conversion of temperatures from degrees Fahren-
heit to degrees Celsius, a nd vice versa
Quantity
of
heat
British therm al units to kilojoules
kilojoules to British thermal units
calories to joules
joules to calories
British thermal units to kilocalories
kilocalories to B ritish thermal units
Calorificvalue mass basis)
Btujlb to kcal/kg
kcal/kg
to
Btu/lb
*Btu lb to kJ/k g
*kJ kg to Btu/lb
Calorific
value
(vo lume
basis)
Btu/ft3 to kcal/m3
kcal/m3 to Btu/ft3
*Btu/ft3 to kJ/m3
*kJ/rn3 to B tu/ft3
now called heat capacity (volume basis) in this
standard. See also the note o n page
83
which applies
to
many of the following units.
Specific heat (volume basis)
Btu/ftJ degF to kcal/m3 degC
kcalIm3 degC to Btu/ft3 degF
*Btu/ft3 deg
F
to kJ/m3 degC
.
*kJ/m3 deg C to B tu/ft3 degF
Intensityof heat fl ow rate
Btu/ft2
h
to W/m2
Wjm2 to Btu/ft2 h
kcal/m* h to W /m2
W/m2 to kcal/m2 h
Btu/ft2 h to kcal/m2 h
kcalfmz h to Btu/ft2 h
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BSI B S * 3 5 0 :
P A R T * L 7i.1 L b 2 q b b 9 OLL6200 9
- - ~
-_ -~
~ _ _ -
~ ~~
BS
350 Part
I
: 1974
References
General information
Thermal conductance Thermal conductivit y
Btu/ft2 li degF
to
kcal/m2 h degC
kcal/m2 h degC to Btu/ft2 h degF
*Btu/ft2 h degF to W/m2 degC
*W/m2 degC to B tu/ft2
h
degF
Btu/ft h degF to W/m degC
W/m de gC to Btu/ft h degF
kcal/m h degC to W/m degC
Wlm degC to kcal/m h degC
Btu/ft
h
degF to kcal/m
h
degC
kcal/m h degC to Btu/ft h degF
Btu/in/ft2 h degF to kcal/m h degC
kcal/m h degC to B tu in/ft2 h degF
NOTE. In
this
stand ard degC has been replaced by K and de@ by OF.(See ection 38 and,
in
particular, 38.5).
B2.
General info rmation
Useful general information isconta ined in the following publications. A i urnciiûcd
Je11 I W
BS
1957
BS
3763
BS 5 5 5 5
BS
5775
Presentation
of
numerica l va lues (f ineness ofexpression; roun ding ofnu mb ers )
Th e In t e rna ti ona l Sys t em ofun i t s (SI)
Speci fica tion forSI uni ts a nd recomm endat ions for t he use o f t he i r m ul t i p Ie sand of cer ta in other uni ts
Speci fica tion for quant i t ies , uni t s an d sym bols
Pa r t
O.
Genera l pr inc iples
Pa r t
1-
S p a c e a n d t i m e
Part 2. Periodi c an d re l a ted phenom ena
P a r t 3. Mechan ic s
Par t 4 . Heat
Pa rt 5. Electricity an d magnetism
Part 6 . Light and re la ted e lec t romagnet ic radia t ions
Part
7.
Acoustics
Par t 8 . Physicat chemist ry and molecular physics
Par t 9 . Atom ica nd nuclear physics
Par t
IO.
Nuclear reac tions and ioniz ing radia t ions
Part 1 I Mathemat ica l s igns and sym bols for use id the physica l sc iences and technology
Part 12. Dimensionless parameters
Part
13.
Solid state physics
PD 686 The useo fSI un i ts
SI - Th e Interna t ional System of Uni ts . HMSO (4th edit ion 1982)
Chang ing to the m etr ic system. C onversion fac tors, symbols an d def ini tions. HMSO (5th edition 1979)
63.
Some other British Standards containing conversion nformation
British
Standard Title
BS 718 Density hydrometers an d spec& gravity hydrom eters
BS 860 Tables for com parison of hardness scales
BS 874 Method s of determining thermal properties, w ith definitions of thermal insulating terms
BS 947 Universal system for designating linear density of textiles (Tex system)
BS 1797 Tables for use
in
the calibration of volum etric glassware
BS 2520 Barometer conventions and tables
BS
2856
Precise conversion
of
inch and metric sizes
on
engineering drawings
83
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BSI B S * 3 5 0 : P A R T * L
74
b 2 4 b b 9 OLL6201
O
BS 350 Part 1 :
1974
General
information
Alphabetical l i s t
of
symbolsfo r unit s and prefixes
Symbols and abbreviations for units, and symbols for prefixes, to which any reference has beeii made i i i
this standard, are listed below together with their textual references. Most but not ail
of
these are inter-
nationally recognized.
Greek letters and som e special signs are shown a t the end.
This list is not extended to include com binations
of
units, or conibinatioiis
of
prefixes and units, except
for a few examples, Many further examples of such combin ations are to be found throug hout the text and
in the general index, pages 88 to 100.
Symbol or abbreviation
A
A
a
a
a
at
ata
atm
atü
AU
bar
bbl
bbl (dry)
Btu
Btumean
bu
BtU60/ 61
C
C
C
Cal
CabT
a l i
d l 5
cd
ch
C.H.U
cl
cm
CP
cSt
ctl
' cumec )
' cusec
'
cv
cwt
d
d
da
deg
dm
dr
dry q t
dyn
erg
Name of unit or prefix, where appropriate
ampere
angström
are
atto (preiìx)
year
technical atmosphere
technical atmosph ere (absolute, German)
standard atmosp here
technical atmosphere (gauge, German)
astronomical unit
bar
barrel
(US,
for petroleum)
dry barrel
US)
British thermal unit
mean British thermal u nit
60 "F British thermal unit
bushel (US)
centi (prefix)
cycle
degree Celsius
calorie
International Table calorie
thermochemical calorie
15
C
calorie
candela
cheval vapeur (metric horsepower) (Frenc h)
Centigrade heat unit
centilitre
centimetre
centipoise
centistokes
cental
cubic metre per second
cubic foot per second
cheval vapeur (metric horsepower, French)
hundredweight
day
deci (prefìx)
deca (prefix)
(to indicate temperature interval)
decimetre
dram (avoirdupois)
dry quart (US)
dyne
erg
84
Textual reference
A.7
2.3
3.3
1.1
9, note 2
32.6
32.7
32.6
32.7
2.3
32.2
4.6.3
4.6.4
36.6
36.6
36.6
4.6.2, 4.6.4
1 . 1
12.1
38.2
36.6
36.6
36.6
36.6
A.7
37, footnote
36.6
4.3
2.2
34.2
35.2
14.5
23, footnote
23, footnote
37, footnote
14.5
9.3
1.1
1.1
38.5
2.2
14.5
4.6.4
28.2
36.2
O
e
e
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BS 350
Part 1
:
1974
General
information
Spibol or abbreviation
Name
of
unit or weiìx, w b m a m t e
Textual reference
F
f
fi
d r
f l d r
fl
o z
Fm
ft
ftH2O
G
g
L
6"
Gal
E
gal
gi
gon
gr
h
h
ha
hbar
hl
hP
hP
h
Hz
in
inHg
i n H2 0
J
K
k
kg
kgf
kip
km
kn
kP
' k.s.i '
kW
kW
h
1
Ib
Ibf
liq
d r
liq
oz
liq Pt
q t
1.y.
M
m
m
m b
mil'
'mi l '
'
mil
'
degree Fahrenheit
femto (prefix)
fluid drachm
fluid dram
(US)
fluid ounce
Festmeter (German)
foot
conventional foot of water
g i s (p refix )
gram
acceleration due to gravity
standard acceleration due
to
gravity
grade
galileo (or gal)
gallon
gill
(US)
gon (or grade)
grain
hecto (prefix)
hour
hectare
hectobar
hectolitre
horsepower
horsepower hou r
hertz
.
inch
conventional inch of mercury
conventional inch of w ater
jou ie
kelvin
kilo (preñx)
kilogram
kilogram-force
loo0pounds-force (US)
kilometre
kno t (international)
kilopond (kilogram-force, German)
kips per square inch
(US)
kilowatt
kilowatt hour
litre
pound
pound-force
liquid dram (US)
liquid
ounce (US)
liquid pint
(US)
liquid qua rt
(US)
light
year
mega (prefix)
metre
milli
(prefix)
müübar
(ofarea)
(of angle)
(of length)
38.3
1.1
4.6.1
4.6.3
4.6.1
4.4
2.5
32.5
1.1
14.2
13.4
13.4
7.3
13.2
4.6.1
4.6.3
7.3
14.5
1.1
9.3
3.3
33
4.3
37.3
36.5
12.1
2.5
32.5
32.5
36.1
38.1
1.1
14.1
28.2
28.3
2.2
10.5
28.2
32.4
37.1
36.3
4.3
14.4
28.3
4.6.3,
footnote
4.6.3,
footnote
4.6.3
4.6.3
2.3
1.1
2.1
1.1
32.2,
ootnote
3.5,
and note
2
7,
note
2
2.6,
and note
8
85
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BS 350 Part
I : 1974
General information
Symbol r abbreviation
' m i l ,
Mg
mg
mGal
d 2 0
min
min
ml
mm
-Hg
mmH20
mol
ms
N
n
n mile
ns
oz
ap
oz
apoth
OZf
oz t
oz tr
P
P
P
Pa
P C
oz
Pdl
Pk
P1
PS
'
.s.i
'
'p.s.i.a
' p.s.i.g '
Pt
PZ
4
qr
qt
"R
r
rad
rev
'
eyn
Rm
sh cwt
sn
st
St
st
T
t
th
S
Name of unit or prefix, where appropriate
(of volume)
megagram
milligram
milligal
convention al metre of water
minute
(of
time)
minim
millilitre
millimetre
conventiona l millime tre of m ercury
convention al millimetre of water
mole
millisecond
newton
nano (prefix)
international nautical mile
nanosecond
ounce
apothecaries' ounce (US)
apothecaries' ounce (UK)
ounce-force
ounce troy
(US)
ounce troy
(UK)
pond (gram-force, German)
poise
pico (prefix)
pascal
parsec
poundal
peck
(US)
poiseuille (French)
Pferdestärke (metric horsepower, German)
pounds-forc e per squ are inch
pounds-force per square inch (absolute)
pounds -force per square inch (gauge)
pint
pièze (French)
quintal
quarter
quart
degree Rankin e
revolution
radian
revolution
(viscosity unit)
Raummeter (German)
second (of time)
short hundredweight US)
sthène (French)
steradian
stokes
stère (French)
tera (preñx)
tonne
thermie (French)
86
Textual reference
4.4
14.2
14.2
13.2
32.5
9.3
4.6
4.3
2.2
32.5
32.5
A. 7
9, note 1
28.1
1.1
2.3
9, note
I
14.5
14.5
14.5
28.3
14.5
14.5
see 28.2
34.2
1.1
32.1
2.3
28.3
4.6.3
34.1
37, footnote
32.4
32.7
32.7
4.6.1
32.2
14.3
14.5
4.6.1
38.4
11.2
7.1
11.2
34.3, footno te
4.4
9.1
14.5
28.2
8.1
35.2
4.4
1.1
14.2
36.6
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Symbolor abbreviation
tonf
UKgal
UKpt
UKqt
USgal
w
Yd
U
I
I I
Y
P
' 1
'
' P '
Pig
pin
111
Cim
11s
L
BS 350 Part I :1974
General information
Name of unit orprefix, where appropriate
Textual reference
ton-force
atomic mass unit
gallon (UK)
pint (UK)
quar t (UK)
gaiion (US)
watt
yard
degree
(of
angle)
minute (of angle)
second (of angie)
degree (temperature)
' gamma
'
(microgram)
micro (prefix)
(micron of mercury)
micron
microgram
micro-inch
microlit e
rnicrometre (or micron)
microsecond
(right angle)
28.3
14.3
4.6.1
4.6.1
4.6.1
4.6.3
37.1
2.4
7.2
7.2
7.2
38.2
to
38.5
14, note
i
1.1
32.5
2.2
14.2
2.6
4.3
2.2
9,
note 1
7.1
87
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B S I B S * 3 5 0 : P A R T # l 74 B I l b 2 4 b b 9 O l l b 2 0 5 B
BS
350 Part I : 1974
General index
General index
The names of the quantities, subjects, units and preíìxes to which reference has been made in this standard
are listed below with their references. Against units or prefixes the corresponding symbol is also indicated.
Symbol Textual reference Table reference
Term
and
mportant notes
absolute (pressure)
acceleration
acceleration, standard
acre
acre per po und
ampere
angle, plane
angle, right
angle, solid
åHgström
angular momentum
angu lar velocity
apothecaries' units
are
area
area, first moment o f
area, second mom ent of
area per unit capacity
area per unit mass
assay ton (UK)
assay ton (US)
astronomical unit
atmosphere, standard
atmosphere, technical
atmosphere, technical (absolute, Ge rman )
atmosphere, technical (gauge, Germa n)
atomic mass unit
atto
avoirdupois units
g"
acre/lb
A
L
A
a
AU
atm
a t
a ta
ati'
a
U
bar
barn
barrel (beer,
UK)
barrel (cranberry,
US)
barrel (wine, UK)
barrel (petroleum,
US)
barrel, dry (US)
barye
billion
British thermal unit
British thermal unit, International T able
British thermal unit, mean
British thermal unit, 60 F
British thermal unit (used by G as Industry)
British thermal unit inch
per
square
foot hou r degree Fahrenheit
British thermal unit per cubic foot
British thermal unit per cubic foot
British thermal unit per cubic foot
hour
degree Fahrenheit
bar
bbl
bbl (dry)
(dynlcm2)
Btu in/(ft2 h OF)
Btu/ft3
Btu/(ft3 OF)
Btu/(ftJ h)
32.7
13
13.4
3.4
17.3
A.7
7
7.1
8
2.3
27
11
14.5
3.3
3
5
6
18
17
14.6 and note 3
14.6 and note 4
2.3
32.6
32.6
32.7
32,7
14.3
1.1
14.5
32.2
3.3
4.6, note 1
4.6, note 2
4.6, note 1
4.6.3
4.6.4
32.2
1.2
36.6
36.6
36.6
36.6
36.6
46.4
40.3
43.4
48.3
-
13
13
3a
17
7
7
-
---
-
11
-
-
-
4a,4c
6
18
17
-
-
-
326
32a, 326
46, 14c
4Oa,
40b, 40c
43
48
88
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ES1 B S * 3 5 8 :
P A R T * L
74
W 1624667
81Lb206 T
_ _ ~
~~~
-
~
~~
BS 350 Part 1 : 1974
General index
Term
Symbol Textual
reference
Table referem
and important notes
British thermal unit per foot hour degree
British thermal unit per ho ur
British thermal unit per pou nd
British thermal unit per pound degree
British thermal unit per squ are foot
hour
British thermal unit per square foot h our
bushel
(UK)
bushel (US)
bushel, international corn
Fahrenheit
FahrenhCit
degree Fahrenheit
cable-length
calendar year
calorie
calorie, dietitians
calorie, International Table
calorie, kilogram-
calorie, thermochemical
calorie, tonne-
calorie,
15 '
calorie per c entimetre second kelvin
calorie per cubic centimetre second
calorie per second
calorie per square cen timetre second
calorie per square centimetre second kelvin
calorific value, gases, with differing
reference conditions
calorific value, mass basis
calorific value, vo lume basis
candela
capaciíy
carat, metric
Celsius, degree
cental
centi
Centigrade
Centigrade heat unit
centilitre
centimetre
centinietre cubed
centimetre per second squared
centim etre second kelvin
per
calorie
centimetre to the fourth
centipoise
centistokes
chain
chain, engineers'
chain, Gunter's
cheval vapeur (metric horsepower, French)
coefficient, heat transfer
concentration .
conductance, thermal
conductivity, thermal
o
.
Btu/(ft h OF)
Btu/h
Btu/ib
Btu/(lb
"F)
Btul(ft2 h)
Btul(ft2 h
OF)
bu
a
Cal
call,
calth
d l 5
cal/(cm sK)
cal/(cm3 s)
cal/s
cal/(cm2
s)
cal/(cm2 s K)
cd
CM
(see 14, note 2)
C
ctl
C
C.H.U
cl
cm
cm3
cm/s2
cm s K/cal
cm4
CP
cs t
CV,
ch
46.4
37.4
39.3
41.4
44.3
45.4
4.6.1 and note 3
4.6.2,
4.6.4
14.6 and note 6
2.6 and note 16
9.4, footnote
36.6
see
36.6
36.6
see 36.6
36.6
see
36.6
36.6
46.3
48.2
37.4
44.2
45.3
40.4
39
40
A.7
4
14.3
38.2
14.5
1.1
see 38.2
36.6
4.3
2.2
5.2
13.2
47, note
6
34.2
35.2
2.5
2.6
2.5, note
5
37, footnote
45
20
45
.
46
46
37
39
41
44
45
4d
k,
4d
-
-
-
36b
use 366
36b
use 366
36b
use
366
366
46
48
37
44
45
4ûb,
40c
39
&, 4ûb, 4 0 c
4q 4b, c,
4d
14b
38
l a
-
-
-
-
use 4a,4b,4c
use 2
use
4a,
4c
13
47
6
34
35
2
2
37
45
20
45
46
-
89
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BSI
B S * 3 5 0 : P A R T * l 94
e b 2 4 b b î íJlLb207
E
W
B S
350 Par t 1 : 1974
General index
Term
Symbol
Textual
reference Table reference
and important
notes
cord
corn bushel, international
cran
cubic centimetre
cubic decimetre
cubic foot
cubic foot per ho ur
cubic foot per pound
cubic foot p er second
cubic foot per UK ton
cubic inch
cubic inch per po und
cubic metre
cubic metre per hour
cubic metre per kilogram
cubic metre per seEond
cubic millimetre
cubic yard
' cumec
'
cusec
cycle
cycle per second
day
deca
deci
decimetre
dei3
degree Celsius
degree Fahrenheit
degree (of angle)
degree per m inute
degree per second
degree Rankine
denier
density
density, linear
density, relative
diffusivity, thermal
drachm (apothecaries', UK)
drachm, fluid (UK )
dram (apothecaries',
US)
dram (avoirdupois)
dram , fluid (US)
dram, liquid (US)
dynamic viscosity
dyne
dyne per centimetre
dyne per square centimetre
cm3
dm3
ft3
ft3/h
ft3/lb
ft3/s
f t i /UK ton
in3
in3/lb
m3
m3/h
m3/kg
m3/s
mm3
Yd3
C
CIS
d
da
d
dm
deg
C
"F
"/min
"R
O
Is
UK
f l
dr
d r
fl dr
liq dr
dYn
dynlcm
dyn/cm2
em
energy
energy, specific
Engler degree
enthalpy, specific
4.6, note 4
14.6 and note 6
4.6, note 5
4.2
4.2
4.5
23.3
21.3
23.3
21.3
4.5
21.3
4.1
23.2
21.1
23.1
4.2
4.5
23.1, footnote
23.3, footnote
see 12.1
12.1
9.3
1.1
1.1
2.2
38.5
38.2
38.3
7.2
11.2
11.2
38.4
15.2
19
15
19, footnote
49
14.5
4.6.1
14.5
14.5
4.6,3
4.6, footnote
34
28.2
31.2
32.2
2.6 and note 13
36
39
35.5
39.1
-
-
-
use 4a,
4c
4a,
6
4a, 46
23
21
23
21
4a, 46, 4c
21
4a, 6
23
21
23
4c
4a
23
23
-
-
l a
l a
use
2
38
38
7
11
11
38
19
15
see 35
14b
4c, 41
14b
4d
4d
34
28
-
-
-
-
-
-
36a, 36b
39
39
-
90
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Term
Symbol
Textual reference
Tabkdemœ
and mportant notes
entropy, specific
ephemeris second
erg .
Fahrenheit, degree
fathom
.
femto
Festmeter (German)
flow rate, mass
flow rate, volume
flux density, hea t
foot
foot, board
foot,
US
survey
foot cubed
foot hour degree Fahrenheit per British
thermal unit
foot of water
foot per minute
foot per second
foot per second squared
foot poundal
foot pound-force
foot pound-force per pound
foot pound-force per pound degree
foot poun d-force per second
foot squared per hour
foot squared per second
foot to the fourth
force
force per unit length
frequency
frigorie
furlong
Fahrenheit
gal
galileo
gallon
(UK)
gallon (UK ) per hour
gallon (U K) per m ile
gallon (UK ) per minute
gallon (UK ) per pound
gallon (UK) per second
gallon (US)
gallon (US) per mile
gamma
gauge (pressure)
giga
gill (VK )
gill
(US)
gon
I
grade I
grain
grain per cubic foot
erg
F
f
Fm
ft
ft3
ft
h
"F/Btu
ftH2O
ft/min
ft/s
ft/s2
f t pdl
ft lbf
ft lbf/lb
ft Ibf/(lb
O F )
ft Ibfls
ft2/h
ft2/s
f t 4
Gal
Gal
UKgal
UKgal/h
UKgal/mile
UKgal/min
UKgal/lb
UKgal/s
USgal
USgal/mile
Y
G
gi
gon l .
I
g r m 3
gr
91
42
9.2
36.2
38.3
2.6
1.1
4.4
22
23
44
2.5
4.6, note 4
2.6
5.3
-
32.5
10.4
10.4
13.3
36.5
36.5
39.3
41.4
37.3
35.4
35.4
6
28
31
12
36.6
2.5
13.2
13.2
4.6.1
23.3
24
23.3
21.3
23.3
4.6.2, 4.6.3
24
14.2,
note
I
32.7
1.1
4.6.1
4.6.3
7.3
14.5
20.2
see 41
38
2
la
use4,46
22
23
44
2
-
-
4a
47
32c
10
10
13
36a
3óa, 36b
39
41
37
35
35
6
28
-
-
use 366
2
13
13
4th
4d
23
24a
23
21
23
4b, 4á
24a
-
-
la
4d
4d
7
14b
20
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BSI B S 8 3 5 0 : PARTaL
74
L b 2 4 b b 7 OlLb209 5 I
t
BS 350 Par t 1 : 1974
General index
Tenn
Symbol
Textual reference Table reference
and important
notes
grain per U K gallon
grain per US gallon
gram
gram centimetre squared
gram per cubic centimetre
gram per cubic decimetre
gram per litre
gram per millilitre
gram per square m etre
gravity, specific
gravity, standard
hand
heat
heat capacity (volum e basis)
heat content (volume basis)
heat flow rate, intensity of
heat flux density
heat release rate
heat transfer coefficient
hectare
hectare per kilogram
hecto
hectobar
hectolitre
hertz
horsepower
horsepower, me tric
horsepower hour
hour
hundredweight
hundredweight, long US)
hundredweight, shor t (US)
imperial system, commentary on
inch
inch cubed
inch of mercury, conventional
inch of water, conventional
inch per second
inch squared per hour
inch squared
per
second
inch to the fo urth
inertia, geometrical moment of
inertia, mom ent of
intensity of heat flow rate
inverse second
iron
IPTS - 68
joule
joule, absolute
joule,
in erna tional
joule per cubic metre
joule per cubic me tre degree Celsius
ha
ha/kg
h
hbar
hl
Hz
hP
see 37.2, footnote
hP h
h
cwt
sh cwt
in
in3
inHg
i nHz 0
in/s
in2lh
in*/s
in4
S 1
J
J
J/m3
J/(mJ
OC)
92
20.2
'
20.2
14.2
25.2
19.2
20.1
20.1
19.2
16.2
19,
footnote
13.4
2.6 and note 14
36, 36.6
43
40
44
44
48
45
3.3
17.2
1.1
33
4.3
12. I
37.3
37.2
36.5
9.3
14.5
14.5
14.5
Appendix
A
2.5
5.3
32.5
32.5
10.4
35.4
35.4
6
6
25
44
12.1, 12.2
38.6
2.6, note 10
36.1
36.1
36.1
40.1
43.2
20
20
146
25
19
20
20
19
16
13
-
--
366
43
40n,
406, 40c
44
44
45
3a
17
l a
32a
see 4a, 4b
37
37
36a, 366
14c
14c
48
-
-
-
-
2
4a, c
326, 32c
32c
10
35
35
6
6
25
44
-
-
-
36a, 366
36a, 366
OU, 40b, 40c
43
-
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Term
BS 350
Part
I
:
1974
General
index
Table reference
ymbol Textual
reference
and important
notes
joule per cubic m etre kelvin
joule per kilogram
joule per kilogram degree Celsius
joule per kilogram kelvin
kelvin
kilo
kilocalorie
per
cubic m etre
kilocalorie per cub ic metre ho ur
kilocalorie per cubic metre kelvin
kilocalorie per hour
kilocalorie
per
kilogram
kilocalorie per kilogram kelvin
kilocalorie
per
metre ho ur kelvin
kilocalorie per square metre hour
kilocalorie per square m etre hour kelvin
kilogram
kilogram-force
kilogram-force metre (energy)
kilogram-force metre (torque)
kilogram-force metre
per
kilogram
e
kilogram-force metre
per
kilogram kelvin
kilogram-force metre
per
second
kilogram-force per square centimetre
kilogram-force per square m etre
kilogram-force per square milíimetre
kilogram-force second per s qu are metre
kilogram metre squared
kilogram millimetre squared
kilogram per cu bic metre (density)
kilogram per cubic metre (concentration)
kilogram
per
hectare
kilogram
per
hour
kilogram per m etre
kilogram per metre second
kilogram
per
second
kilogram per square metre
kilometre
kilometre
per
hour
kilometre per litre
kilopascal
kilopond
kilopond met re (energy)
kilopond metre (torque)
kilopond per square centimetrc
kilopond per square metre
kilowatt
kilowatt hour
kinematic viscosity
knot (international)
knot
(UK)
a
kip
(US)
43.1
39.1
41.2
41.1
38.1
1.1
40.2
48.2
43.3
37.4
39.2
41.3
46.3
44.2
45.3
14.1
28.2
36.4
30.2
39.2
41.3
37.2
32.3
32.3
33
34.3
25.1
25.2
19.1
20.1
16.2
22.2
15.1
34.1
22.1
16.1
2.2
10.3
24
32.1
28.2
36.4,
ootnote
30.2
32.3
see 32.3
37.1
36.3
35
28.3
10.5
10.5
43
39
use
41
41
38
la
40a,
40b,
0c
48
43
37
39
41
46
44
45
14a
28
36u
30
39
41
37
3241,326
32c
32a,
ootnote
34
25
25
€9
20
16
22
15
see
34
22
16
see2
10
24b
see
32a, 32b, 32c
28
36u
30
324 32b
32c
use 37
36a, 36b
35
28
10
10
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BS
350
Part 1 : 1974
General
index
Textual
reference Table referemie
and important
notes
rem
Symbol
39.1 39
2 2
2.3
2.6 and note 12
-
2.6andnotes 11,12
-
15
10
atent heat, specific
length
light year
ligne
line
linear density
linear velocity
link
litre
litre (1901)
litre atmosphere
litre per ho ur
litre per hundred kilometres
litre per kilogram
litre pei kilometre
litre per m inute
litre per second
mass
mass per unit area
mass per unit length
mass rate of
flow
mass unit atom ic
mega
megagram
megapascal
metre
metre cubed
metre hour kelvin per kilocalorie
metre kelvin per w att
metre of water
metre per second
metre per second squared
metre squared per hou r
metre squared per second
metre to the fourth
metric carat
metric horsepower
metric system, commentary on
micro
microgram
micro-inch
microlitre
micrometre
micron
micron (pressure unit)
microsecond
' mil ', circular
(of
area)
' mi1
'
of angle)
'
mil ' (of length)
'
mil '
(of
volume)
mile
1.y.
I
U
M
Mg
MPa
m
m3
m h
K/kcal
m K/W
mH 2 0
m/s
m/s2
m2/h
m2/s
m4
(see 14.3, note 2)
(see 37.2, footnote)
mil
mil
mile
15
10
2.6
4.3
4.3
36.4
23.2
24
21.2
24
23.2
23.2
14
16
15
22
14.3
1.1
14.2
32.1
2,
I
5.1
47
32.5
10.1
13.1
35.3
35,49
6.1
14.3
37.2
Appendix A
1.1
14.2
2.6
4.3
2.2
2.2
32.5
9, note I
3.5 and note 2
7, note 2
2.6 and note
8
4.4
2.5
-
-
4a,4b, 4c
4a,4b, 4c
36a
23
Fig.
I
21
24a
23
23
I , 146, 14r
16
15
22
ln
14c
32a
2
4a
47
47
see 32a
10
13
35
35
6
14b
37
ia
use 14h
use 2
use 4c
use
2
use 2
use 32c
36
2
4c
2
-
-
-
-
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Tern i
Textnal reference Table reference
and important nofes
Symbol
mile, international nautical
mile, statute
mile, telegraph nautical
mile,
UK
nautical
mile per gallon
(UK)
mile per gallon (US)
mire per hour
milli
millibar
milligal
milligram
milligram per square centimetre
milligram per square miliimetre
millilitre
millimetre
millimetre cubed
millimetre of mercury, conventional
millimetre
of
water, conventional
millimetre to the fourth
million
mi
11
seco
n
d
minim (UK )
minim
(US)
minute (of angle)
minute (of time)
modu lus of section
mole
moment, first, of area
moment, geometrical, of inertia
mom ent of force
moment of inertia
momentum, angular
momentum (linear)
month
nano
nanosecond
nautical mile (international)
newton
newton metre
newton per metre
newton per square metre
newton per square millimetre
newton second per square m etre
number
ounce (apothecaries' UK )
ounce (apothecaries' US)
ounce (avoirdupois)
ounce, fluid (UK )
ounce, fluid (US)
ounce, liquid (US)
ounce-force
ounce-force inch
ounce inch
squared
mGal
mg
mg/cm2
mg/mm2
ml
mm3
m H g
inmH2O
mm4
ms
UKmin
mm
min
mol
n
ns
n mile
N
N m
N/m2
N/mm2
N s/m2
N/m
oz apoth
oz ap
um oz
u s f i
oz
liq oz
OZ€
ozf
in
oz
in2
OZ
95
13.2
14.2
16.2
16.2
4.3
2.2
5.2
32.5
32.5
6
1.2
9, note 1
4.6.1
4.6.3
7.2
9.3
5
A.7
5
6
30
25
27
26
9.4
1.1
.
9, note 1
2.3
28.1
30.1, 36.1
31.1
32.1
33
34.1
1
14.5
14.5
14.5
4.6.1
4.6.3
4.6.3, footnote
28.3
30.3
25.3
n mile 2.3
mile 2.5 an d note 6
2.6
2.6 and note 16
mile/UKgal 24
mile/USgal 24
milelh 10.4
m 1.1
mbar (mb) 32.2 and footnote
2
2
2
24b and
Fig.
1
246 and Fig. 1
10
la
32b, 32c
13
use 146
16
16
4c
use 2
use 4a
32c
32c, footnote
6
lb
4c, 4d
-
-
4d
7
4a
4a
6
30
25
-
-
-
-
l
2
28
30
3241,
3 2 4
32c
32a
Use 34
la,
l b
14b
14b
14b
4c, 4d
4c, 4d
4c,
4d
28
30
25
-
-
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BSI B S 8 3 5 0 : PART>i(L 7 4 W 3b24bbî
O L L b 2 L 3 - 7 e_-
BS
350 Part
1 : 1974
General
index
Term
Symbol
Textual reference Table reference
and
important notea
ounce per squ are foot
ounce per square yard
ounce per UK gallon
ounce per U S gallon
ounce troy (UK )
ounce troy (US)
parsec
pascal
pascal second
peck (US)
perch
Petrograd standard
Pferdéstärke (metric horsepower, German)
pico
pièze
pint
(UK)
pint, dry
(US)
pint, liquid (US)
plane angle
point
poise
poiseuille (French )
pole
pond (gram-force, Germ an)
pound
pound foot squared
pound-force
pound-force foo t
pound-force hour per square foot
pound-force inch
pound-force per square foo t
pound-force per square inch
peck (UK)
pound-force second per square inch
gound-force second per square foot
pound inch squared
pound per acre
pound per cubic foot
pound per cu bic inch
pound per foot
pound per foot hour
pound per foot second
pound per (UK ) galion
pound per (US) ‘gallon
pound per hour
pound
per
inch
pound p er mile
pound per second
pound per thousand square feet
pound per yard
pound troy (US)
poundal
poundal foot
oz/ft2
oz/yd2
oz/UKgal
oz/USgal
oz tr
oz t
PC
Pa
Pa s
Pk
PS
P
P=
UKpt
liq pt
P
P1
P
Ib
Ib ft2
Ibf
Ibf ft
lbf h/ft2
lbf in
lbf/ft2
Ibf/in2 (p.s.i.)
Ibf s/in2
lbf s/ft2
Ib in2
Ib/acre
Ib/ftJ
lblin3
Ib/ft
lb/(ft h)
lb/(ft s)
lb/UKgal
IbJUSgal
lb/h
lb/in
Ib/mile
Ibis
lb/loOO
ft2
WYd
Pdl
pdl ft
16.3
16.3
20.2
20.2
14.5
14.5
2.3
32.1,33
34.1
4.6.1
4.6.4
2.6 and note 15
4.6,note 4
37, ootnote
1.1
32.2
4.6.1
4.6.4
4.6.3
7
2.6
and note
9
34.2
3 4 . 1
2.6 and note 15
see 28.2
14.4
25.3
28.3
30.3
34.3
30.3
32.4
32.4
33
34.3
34.3
25.3
16.3
19.3
19.3
15.3
34.3
34.3
19.3
19.3
22.3
15.3
15.3
22.3
16.3
15.3
14.5
28.3
30.3
16
16
20
20
146
146
-
32a,
2b.
32c
34
4d
4d
-
-
37
la
-
4b,
4d
%
4d
4b,4d
7
-
l k , 14c
25
28
30
34
30
32c
324
32b
32a, 326
34
25
16
19
19
15
see
34
34
19
19
22
15
15
22
16
15
28
30
-
96
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Symbol
B S
350 Part 1
:1974
General
index
Texlual referem Table reference
and
mportant
notes
poundal per square foot
poùnd al second per square foot
pounds-force per square inch (absolute)
pounds-force per square inch (gauge)
power
pressure
quadrillion
quart (UK)
quart, dry
(US)
quart, liquid
(US)
quarter
quintal
radian
radian per minute
radian per second
Rankine, degree
Raummeter (German)
Redwood number
refrigeration,
ton of
relative density
release rate, h eat
resistivity, thermal
revolution per m inute
(angular velocity)
revolution per minute
(rotational frequency2
revolution per second
(angular velocity)
revolution per second
(rotational frequency)
' eyn
'
right angle
rod
rood
rotation, speed
of
rotational speed
rotatio nal velocity
Saybo lt scale
Scale, International Practical
scruple (apothecaries')
second (of angle)
second (of time)
second, ephemeris
second, inverse
section, modulus
of
short hundredweight
short ton
slug
slug hou r per foot second squared
Temperature,
of
1968
pdllft2
pdl s/ft2
p.s.i.a
p.s.i.g
UKqt
Iiq qt
qr
9
dry qt
rad
radtmin
rad/s
"R
Rm
rev/inin
r/min
rev/min
rlmin
rev/s
rls
revls
rls
L
IPTS
- 68
I I
S
S
1
sh cwt
sh ton
slug h/(ft
52)
97
32.4
34.3
32.7
32.7
37
32
1.2
4.6.1
4.6.4
4.63
14.5
14.3
7.1
11.2
11.1
38.4
4.4
35.5
37.4
19, footnote
48
47
11.2
12.3
11.2
12.2
34.3, footnote
7.1
2.6, note 15
3.4, note
1
11,
footnote
i l , footnote
li,
footnote
35.5
38.6
14.5
7.2
9.1
9.2
12.1,
12.2
5
14.5
14.5
14.6 and note
5
see
34.3
32u
34
-
-
37
32a, 326,32c
l b
4d
4d
4d
-
-
7
11
11
38c
use
4a,4b
-
.-
_-
48
47
11
-
11
-
-
7
3a
-
-
-
-
-
- _
-_
7
-
-
4a
14c
14c
14a
Use
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B S I
B S * 3 5 0 : P A R T * l
74 b 2 4 b b î OJiLb2L5 O
~
BS
350 Par t
I : 1974
General
index
Term
Symbol
Texhial
reference Table reference
and important notes
slug per foot second
solid angle
specific energy
specific entropy
specific grav ity
speciñc heat
speciñc heat, volume basis
specific heat capacity
specific latent heat
specific surface
specific volum e
speed
speed, rotational
square centimetre
square centimetre per milligram
square decimetre
square foot
square foot hour degree Fahrenheit
square foot per gallon
square foot per ounce
square foot (thousand) per poun d
square inch
square kilometre
square metre
square metre per gram
square metre per kilogram
square metre per litre
square mile
square mile per ton
square millimetre
square millimetre per milligram
square yard
square yard per gallon
square yard per ounce
standard, (Petrograd)
standard atmosphere
standard gravity
steradian
stère (French)
sthène (French)
stokes
stone
stress
surface, specific
per B ritish thermal unit inch
technical atm osphere
technical atmosphere, absolute, Germ an
temperature
temperature, thermodynam ic
temperature difference
temperature interval
tera
tex
slug/(ft
s)
C I l l Z
cm2/mg
dm2
ft2
ft2 h 'F/(Btu in)
ft2/gal
ft2/oz
1000 ft2/lb
in2
km2
m2
m2/g
m 2 / k
m2/l
mile2
mileZ/ton
mm2
mm2/mg
Yd2
yd2/ga1
yd2/oz
atm
gn
sr
st
sn
St
a t
ata
T
34.3
8
39
42
19, footnote
41, footnote
43 and footnotes
41
39.1
17
21
10
11, footnote
3.2
17.2
3.2
3.4
to 41
-
18
17.3
17.3
3.4
3.2
3.1
17.2
17.1
18
3.4
17.3
3.2
17.2
3.4
18
17.3
4.6, note 4
32.6
13.4
8
4.4
28.2
35.2
14.5
33
17
32.6
32.7
38
see 38
38
38
1.1
15.2
34
39
see 41
-
-
43
41
39
17
21
10
use 30
use 17
use 3a
3a
47
18
17
17
3a, 3b
use 3a
3a
use 17
17
18
3a
17
36,3a
'1 7
3a
18
17
326
13
use 4a,46
use 28
use 35
32a,
32b, 32c
17
32a, 326
38
-
-
-
-
-
-
-
-
l a
-
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B S I B S * 3 5 0 : P A R T x L 74
D
L b 2 4 6 6 9 O L L b 2 L b
2
~~~~
__
~~
~
BS 350 Part 1 :1974
General index
Term
ssmbol
Textual reference Table reference
and important notes
therm
therm per gallon .
thermal conductance
thermal conductivity
thermal diffusivity
thermal resistivity
thermie
thermie per litre
thermodynam ic temperature
' hou '
time
ton
ton, assay
(U#)
ton, assay (US)
ton, gross
(US)
ton, long (US)
ton, short (US)
ton-force
ton-force
US)
ton-force foot
ton-force per square fûoi
ton-force per squ are inch
therm/UKgal
th
th/litre
thou
ton
ah
ton
tonf
u s t o n f
tonf ft
tonf/in*
tonf/ft2
ton mile
ton mile
per
gallon
ton of refrigeration
ton per cubic yard
ton per hour
ton per mile
ton per square mile
ton per thousand yards
toniie
tonne-calorie
tonne kilometre
tonne kilometre per litre
torque
torr
traffic actors
trillion
tropical year
troy units
unit, atomic mass
'
acuum ' values
velocity, angular
velocity, linear
velocity, rotation al
viscosity, dynamic
viscosity, kinematic
volume, and capacity
volume, specific
volume rate
of
flow
Vollwinkel (German)
UKton d e
UK ton milejUKga1
tonlyd3
ton/h
tonlmile
ton/mile*
ton/lûûû yd
L
t km
t km/l
36.6
40.3
45
46
49
47
36.6
40.2
see 38
2.5, note
7
9
14.5
14.6 and
note
3
14.6 and note 4
14.5
14.5
14.5
25.3
28.3
30.3
32.4
32.4
33
24
24
37.4
19.3
22.3
15.3
16.3
15.3
14.2
see
36.6
24
24
30
32.5
24
1.2
9.4,
footnote
14.5
-
40a
45
46
see
35
47
use 36b
4oa
use
2
14c
-
-
-
-
-
14c
28
use 28
30
32a
3%
32a
under 246
under 246
19
22
15
16
15
1412
use 36b
under 24b
under 246
30
32b
244
246
and Fig.
1
Ib
-
-
14.3
32.7
11
10
11, footno te
34
35
4
21
23
7,
note
3
-
11
10
34
35
4a,
4b, 4c, 4d
21
23
-
-
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BS
350
Part
1
: 1974
General index
watt
watt per cubic metre
watt per metre degree Celsius
watt
per
metre kelvin
watt per square inch
watt per square metre
watt per square metre degree Celsius
watt
per
square metre
kelvin
week
weight
work
Term
Symbol
Tertiralreferm ce Table reference
andimportantnotea
W 37.1 37
W/m3 48.1 48
46.2 46
46
Wl(m "Cl
W/(m K) 46.1
W/in2
44.3 44
W/m2
44.1 44
W/(m2 OC 45.2
45
W l W K)
45.1
45
9.4
29
14a, 146, 14c
36 36a, 366
-
28
yard
year
year, calendar
year, light
year, tropical
Yd
a
a
ley.
a
2.4
9.4
9.4, footnote
2.3
9.4, footnote
1
O0
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BSI publications referred t o in this standard
This standard makes reference to the following British standards:
BS 718 Density hydrometers and specific gravity hydrometers
RS 860
Tables for comparison
of
hardness scales
RS 874 Methods of determining thermal properties, with definitions of thermal insulating terms
RS 947
Universal system for designating linear density of textiles (Tex System)
BS
1797
Tables for lise in the calibration
o f
volumetric glassware
ß S
1957 Presentation
of
numerical values (fineness of expression; rounding
of
numbers)
BS
7570 Barometer conventions and tables
BS 2856 Precise conversion of inch and metric sizes on engineering drawings
RS 3763
The International System
of
iinits
(SI)
PI) 5686 The use of SI iinits
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