units dimensions error 3

© Physics

Helpline

Physics Helpline

L K Satapathy

Units and Dimensions

Units Dimensions Error 3

ofPhysical Quantities

Mechanical Quantities in [ M L T ]

Thermal Quantities in [ M L T K ]

Electrical Quantities in [ M L T A ]

© Physics

Helpline

Physics Helpline

L K Satapathy


Fundamental Quantities

1 0 0[ ]M L T01 Mass Fundamental Kilogram

Sl. No Physical Quantity Equation Unit Dimensions

0 1 0[ ]M L T02 Length Fundamental Meter

0 0 1[ ]M L T03 Time Fundamental Second

0 0 0 1[ ]M L T A

04

Electric current Fundamental Ampere

0 0 0 1[ ]M L T K

05

Temperature Fundamental Kelvin

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

0 1 1[ ]M L T 06 Velocity


0 1 2[ ]M L T 07 Acceleration

1 1 1[ ]M L T 08 Momentum

1 1 2[ ]M L T 09 Force Newton

1 2 2[ ]M L T 10 Work Joule

v S t 1.m s

a v t 2.m s

.p m v 1. .kg m s

.F m a

.W F S

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

1 2 3[ ]M L T 11 Power


1 1 2[ ]M L T 12 Pressure

1 1 1[ ]M L T 13 Impulse

1 2 2[ ]M L T 14 Torque

1 3 0[ ]M L T15 Density

Pascal

W t Watt

F A

.F t .N s

.F r

Mass vol

.N m

3.kg m

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

1 1 2[ ]M L T 16 Stress


17 Strain

1 1 2[ ]M L T 18 Elastic Modulus

1 0 2[ ]M L T 19 Force const

1 2 2[ ]M L T 20 P E , K E

Stress / Strain

F A

L L

2.N m

F L

21,2

mgh mv

Unitless Dimensionless

2.N m

Joule

1.N m

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

0 0 1[ ]M L T 21 Velocity gradient


22 Rate of flow

1 0 2[ ]M L T 23 Surface Tension

1 0 2[ ]M L T 24 Surface energy

25 Coeff of friction

Volume /time

Work / Area

v L 1s

F L

F R

2.J m

1.N m

3 1.sm 0 3 1[ ]M L T

Unitless Dimensionless

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

26 Angle


27 Angular velocity

0 0 2[ ]M L T 28 Angular acceleration

1 2 1[ ]M L T 29

Angular momentum

30 Frequency

l r

t

t

1f T

2 1. .kg m s

0 0 1[ ]M L T

L mvR

Hertz

DimensionlessRadian

Radian/sec

Radian/sec2

0 0 1[ ]M L T

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

31 Areal velocity


32 Angular wave number

1 3 2[ ]M L T 33 Gravitational const.

0 1 2[ ]M L T 34

Gravitational Field

35

Gravitational Potential

Force/mass

Energy/mass

Area/time

2k

2 2G FR M

1.N kg

0 1 0[ ]M L T

0 2 2[ ]M L T

2 1.m s 0 2 1[ ]M L T

1m

2 2. .N m kg

1.J kg

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

36 Moment of inertia


37 Coeff of viscosity

1 1 1[ ]M L T38 Fluidity

0 2 1[ ]M L T 39

Kinematic viscosity

40

Planck’s const (h)

Deca poise

2I MR

6F rv

1

2 1.m s

1 1 1[ ]M L T

1 2 1[ ]M L T

2.kg m 1 2 0[ ]M L T

1( )Deca poise

.J s

E h f

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

41 Thermal capacity


42

Coeff of thermal conductivity

43 Gas Constant (R)

44

Specific heat

45

Stefan’s const ()

Q ms

Q kA t d

PV nT

2 4. .W m K

1.J K 1 2 2 1[ ]M L T K

1 1. .J K mol

4E T

1 1. .W m K 1 1 3 1[ ]M L T K

1 2 2 1[ ]M L T K

s Q m 1 1. .J Kg K 0 2 2 1[ ]M L T K

1 0 3 4[ ]M L T K

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

46 Electric Charge


47

Electric Field

48 Electric Flux

49

Potential Difference

50

Potential Gradient

Q I t

E F q

.E E A

1.V m

0 0 1 1[ ]M L T A

V L

1.N C 1 1 3 1[ ]M L T A

1 3 3 1[ ]M L T A

.V E L

Coulomb

2 1. .N m C

Volt 1 2 3 1[ ]M L T A

1 1 3 1[ ]M L T A

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

51 Line charge density


52 Surface charge density

53 Volume charge density

54

Capacitance

55

Permittivity ()

q L

2 1 2. .C N m

0 1 1 1[ ]M L T A

2 24F q r

C q V Farad 1 2 4 2[ ]M L T A

1 3 4 2[ ]M L T A

1.C m

q A 2.C m 0 2 1 1[ ]M L T A

0 3 1 1[ ]M L T A3.C mq vol

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

56

Resistance


57

Resistivity

58

Current density

59

Electrical Conductivity60

Conductance

J I A 0 2 0 1[ ]M L T A

RA L

1 3 3 2[ ]M L T A

2.A m

R V I 1 2 3 2[ ]M L T A

11 R

1

1 2 3 2[ ]M L T A

.m

1 1.m

1 3 3 2[ ]M L T A

© Physics

Helpline

Physics Helpline

L K Satapathy


Derived Quantities

61

Magnetic Flux


62

Inductance ( L )

63

Magnetic Induction

64

Inductive Reactance65

Magnetic Permeability

B F qv 1 0 2 1[ ]M L T A

LX L

Tesla

BA B Weber

1. .T m A2B I r

1 2 2 1[ ]M L T A

1 1 2 2[ ]M L T A

1 2 2 2[ ]M L T A

1 2 3 2[ ]M L T A

.L I B1.Wb A

© Physics

Helpline

Physics Helpline

L K Satapathy

For More details: www.physics-helpline.com

Subscribe our channel: youtube.com/physics-helpline

Follow us on Facebook and Twitter:facebook.com/physics-helplinetwitter.com/physics-helpline

http://www.physics-helpline.com/

units dimensions error 3

Education