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Precision Measurement 2 Marks

0 26. Given the measuring device below, express its precision and uncertainty in mm.

I I I I I 1 mm 2 mm

Precision:

Uncertain

0,C An

6, 2 S

2 Marks

27. Explain why you cannot rely on a measuring device to determine the exact length of an object.

ia{ I rt Ajf

fre c

r1/ 1 -1 hi l'114*

frpt.flie I z4-4 C 141

2 Marks

28. A manufacturer drills a hole into a board_ An employee measures the diameter of the hole to be 4.37 mm She knows that the device used to measure the hole has an uncertainty of 0.02 mm. Express the minimum and maximum diameters of the hole in mm.

Minimum Diameter: 4-4 3 Sh1vK

Maximum Diameter:

2 Marks

29. An engineering drawing states that a certain part has the following length:

4.2 MID

4.0

Express the nominal value and tolerance for this part, in mm.

Nominal value: ei,) hlfrl

Tolerance: , o(

re'. I Li 2

0, 2 vrwin

63°

2 Marks

Tolerance is often used in construction, commercial, industrial, or artistic applications.

Demonstrate one use of tolerance in the real world by performing the following two steps:

• State a specific example where tolerance is used.

• Support your example with a written explanation, or with other information or evidence, of how tolerance is used.

/

1 5

c in

vl

h ue

c71

2 Marks

24. A metre slick is divided into 100 centimetres. Express the precision and uncertainty for the metre stick.

Precision:

Uncertainty:

C 01

is ckv\

2 Marks

0 7 25. Gold is trading at $1 300 per ounce. Explain why a jeweller would want to be very accurate when weighing gold to make a ring.

&EA IC i--

rY1

t J ,7 ft ,/}-,

ev) L

2 Marks

26. A graduated cylinder is a measuring device used for liquids. Express the precision and uncertainty for the given graduated cylinder.

Graduated cylinder

Precision:

Uncertainty:

2 Marks

27. A steel manufacturer creates an item that must be 5 cm across with a tolerance of 0.2 cm (-± 0.1 cm). The manufacturer writes the measurements of the item in the form:

ao

Express the values of a and b.

a:

I b:

1 Mark

) (... 10 28. Explain why a timer for a 100 m race would need to be more precise than a timer for a

10 km run.

r

30. Describe a measurement situation and explain why a certain degree of accuracy would be required.

p71 X 0474-1,-,‘ kir-P di- C Ct

ervi

a Szi re-n- A Lin-Orr-

L)

7 C tee' IS

1 Mark

29. The length of a school's garden is measured using a stick that has been cut to 1 metre in length. State the uncertainty in the measurements made using the stick.

c yin

2 Marks

2 Marks

31. A company manufactures cylinders that must have a mass of 4.82 kg, within a tolerance of 0.24 kg.

A) State the minimum mass (1 mark)

L7I jz _ doz

q, 70 ki

B) State the maximum mass. (1 mark)

2 Marks

32. Explain why the concept of tolerance would be important when installing kitchen cabinets.

okt ec-7

2 Marks

13. State a measurement situation where a degree of precision would be required. Justify your

answer.

2 Marks

14. Dave wants to install three new cupboards in his bathroom. Each cupboard is 40 cm wide. He meqsured the space to be 120 cm wide. Explain why the cupboards may not fit using one of the following concepts: accuracy, tolerance, or uncertainty.

Accuracy

A measuring tape used to measure cupboards (or space) may not be accurate. A reading of 40 cm on the tape may actually be 41 cm and so even though the cupboards were precisely measured, it would not fit in 120 cm of space (cupboards would need 123 cm).

OR

Tolerance

Cupboard specifications may have been 40 cm ± 1 cm. The three cupboards may meet the specifications but the sum could be more than 120 cm and not fit in the space.

OR

Uncertainty

A measuring tape whose smallest unit of precision is 1 cm would have an uncertainty of 0.5 cm. Consequently, if the cupboards were accurately measured to 40 cm, the uncertainty could add another 0.5 cm to each cupboard and the three cupboards would not fit in the space.

2 Marks

15. A manufacturer creates ball bearings with diameters that have nominal values of 5 cm and tolerances of 0.02 cm. State the minimum and maximum diameter of a ball bearing if the nominal value is the midpoint of the tolerance range.

Minimum:

Maximum:

271, c

Ci

16 Given the following diagram of a measuring device:

(cm)

0 5 10 15 20 25 30 35 40 45 50 I I

2 Marks

State the precision and uncertainty of the measuring device:

Precision: 5 err\

frit\ Uncertainty:

2 Marks

26. State an example from the construction, commercial, industrial, or artistic industries where a certain degree of tolerance is required. Support your example with an explanation of how tolerance was required.

Carpenter. lc a door needed to be made cor a classroom) he needs to _use tolerance and exact measurement or the door will

a.) be too small and cold air will come tnto the room or

b.) Door utll be too baug and won't be able to close

Tolerance is used when trying to set- the oven temperature for baking. The recipe says you

.reed 305°F but some ovens are dirent and might be a little bit off like +/- 5°F so ir cotAld

be 300°F or 3(0°F which should be fine. 3tAr too much of a tolerance for baking isn't good

and the food won't tum out good

2 Marks

® 27.

An odometer is used to measure the distance a car travels. The trip odometer reads 947.2 km. State the precision and uncertainty of the odometer.

Precision:

Uncertainty: kfrk,

2 Marks

28. A metre stick is left outside in the sun and it expands. Explain how this will affect the stick's accuracy and precision_

Accuracy:

)

Precision:

2 Marks

29. The width of a door frame has a nominal value of 36 inches (which is halfway between the minimum and maximum value). The tolerance is 0.5 inches. State the minimum and maximum values of the width of the door frame.

Maximum: 362, 2ç In

35 75 Minimum:

2 Marks g 30. A welding company has determined that the desired length of a steel arm is 12 cm ± 2.5 cm. The tolerance is given in the form nominal value+ Wkrance .

—0 State the nominal value and tolerance.

nominal value:

tolerance:

2 Marks

7. Cailyn works as a production engineer. She is working with a machine part that has a tolerance of 0.04 mm and a nominal value of 0.50 mm which is halfway between the maximum and minimum values. State the maximum and minimum values of the machine part.

Maximum: 0,S 1V1 \

MIDimUTIt Di m

tyte miva tei4

2 Marks

28. State the precision and uncertainty of the protractor.

Precision.:

Uncertainty:

1 Mark

0 lip 30. Chris owns a candy factory that specializes in making chocolate candies. Explain why Chris needs to be very accurate when measuring his ingredients.

70

26. Refer to the following diagram of a speedometer.

scir 4 ,A

50 IC 40 6

30

20 80

1 Mark

031. The maximum amount of stuffing that can fit in a pillow is 1500 grams. The tolerance is 100 grams. State the nominal value (which is halfway between the minimum and maximum values).

/VCD

2 Marks

A) State the precision of the speedometer. (1 mark)

B) State the uncertainty of the speedometer. (1 mark)

1 Mark

02 i 7. Johnny needs to measure 1% cups of water to make bread. Justify which of the following measuring cups is more precise.

"*"...— 4 cups

3 cups

2 cups

1 cup

ed#0 r ryfrb S ck;

2 Marks

8. Jill buys a roll of wallpaper. She uses a measuring device with a precision of 1 cm to measure and cut a 95 cm piece.

A) State the maximum length of the cut piece of wallpaper. (1 mark)

B) State the minimum length of the cut piece of wallpaper. (1 mark)

A

1000 net 900 nt

— 800 at — 700 mi.

800 rilk. — 500 it

400 nil — 300 nil — 200 rit — 100 rid_

measurement ± uncertainty

2 Marks

0 31 29. Colin has a bucket, marked in 1000 niL increments, that he fills with 4000 ml of liquid fertilizer. He wants to remove 300 mT of the liquid fertilizer. He uses a 1000 niL container marked in 100 rnL, increments.

Calculate the remaining amount of mixture that will be in the bucket in the format:

1 Mark

30. • Ralph is painting his living room with a custom colour that was created at the paint store by mixing colours. He did not buy enough paint and needs to buy more.

Explain why a degree of accuracy is needed when mixing additional paint to match his original colour.

2 Marks

0 33 27. State the precision and uncertainty of the oven thermometer shown below.

Precision:

Uncertainty:

1 Mark

28. A student measured a piece of rope using 5 different measuring tapes with the same precision. He recorded the following measurements.

5.34 m 5.32 m 5.37 m 5.34 m 5.38 m

State the precision of the measuring tapes.

tio • km/h \t) •

30.

20.

40.

60. 50.

70 90 1.0° no

.120 .130

.144

• 150

.160

.170/.180

1 Mark

29. The speed limit in a school zone is 30 km/h. Evan's speedometer reads 30 km/h. Explain why Evan may be pulled over for exceeding the speed limit using one of the following concepts: accuracy, tolerance, uncertainty, or precision.

2 Marks

30. A company makes sticks for frozen fruit snacks with a measurement of 15.5 cm "1,..

A) State the maximum length. (1 mark)

B) State the minimum length. (1 mark)

I I I I

0 2 4 6 8 10

(cm)

2 Marks

31. Rajiv places 4 boxes side by side. Each box is built to measure 12" ± —"in width. 32

Calculate the combined width of the boxes in the format: measurement ± uncertainty

box

1 12" + —"

32

12 _

2

Question 26 1 mark

Given the measuring device below:

State the precision.

Precision:

3`t Question 27 3 rnarlcs

Given the following form of tolerance for a measurement:

5.3 cm ÷0.4 cm —0.3 cm

A) State the maximum value. (1 mark)

B) State the minimum value. (1 mark)

co

c) State the tolerance. (1 mark)

C Kr)

©Al Question 28 2 marks

Jen is a carpenter and needs to measure a piece of wood to 12 inches. She can use a yard stick with no incremental measurements or a tape measure with 1 inch increments.

A) State which device Jen should use. (1 mark)

B) State the uncertainty of the device you chose in Part A (1 mark)

uestion 29 1 mark

Explain why the concept of tolerance is important when installing closet doors.

4 C C_

417,

Question 30 2 marks

A refrigerator has a maximum temperature of 37.5°F and a minimum temperature of 32-7°F.

State the tolerance in the form: nominal value ±thlerance —0

Question. 31 1 mark

A lemonade bottling company fills 500 mL bottles.

Explain why the company should be accurate when measuring the amount of lemonade it puts in each bottle.

Given the following measurement:

56.0 ± 0.3 mm

A) State the minimum value. Do not round your final answer. (1 mark)

53

B) State the tolerance of the measurement. Do not round your final answer. (1 mark)

0 to Vint Inn,

Question 30 1 mark 138

Three of the four forms of tolerance listed below indicate the same measurement in megahertz.

Choose the form of tolerance that indicates a different measurement.

A) 16 ± 0.3 MHz

16.3 B) 15.7

MHz

C) 15.7 1133 MHz

D) 15.7 +0.6 MHz

Answer:

51 Question 29

mark 137

Explain which of the following thermometers is more precise.

ami 20

aim 16

12

8

4

me 0

7 10

— e

—6

4

—2 o

ma -4

--2

-4

-12

--6

-16

--8

-20

— -10

Thermometer B

tja tv's 0°C— -

Thermometer A

(3 c,s

Question 30 1 mark 13

Choose the letter that best completes the sentence below.

How close a measurement is to the true value refers to:

A) tolerance

B) accuracy

C) precision

D) uncertainty

Answer:

Question 34 1 mark 142

Choose the letter that best completes the sentence below.

The tolerance expression that allows for a maximum value greater than 16.5 cm is:

A) 16.5 cm 0+115cm

B) 16.5cm 15.5cm

C) I6cm± 0.5 cm

D) 16.5 cm C11cm

Answer:

Oumar is cutting lenses for a pair of glasses. In order for the lenses to fit into the frame, the lenses need to have a minimum thickness of 1.896 mm and a maximum thickness of 2.022 ram

State the measurement in the font

maximum value +° —tolerance

Do not round your final answer.

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2 wom

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