Chapter 02 Worksheet

TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

QUESTIONS FOR PRACTISE: CHAPTER 02: MEASUREMENT TECHNIQUES. DUE ON 5/8/2013 1.

(120 marks)

State the readings on the micrometer screw gauge below. (10 marks)

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

Question 1 taken from website http://www.askmrtan.com/2e/vernier-micrometer-worksheet-with-answers.pdf . Site accessed on 22/7/2013 at 10.15 am

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

2.

The following micrometer screw gauges have their jaws firmly closed. However, the readings are not exactly zero. Determine the zero error for each case. (8 marks) a.

b.

c.

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

d.

3.

The following micrometer screw gauges have zero errors in them. Determine their actual readings. (12 marks) a.

b.

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

c.

d.

4.

Determine the actual readings on these vernier calipers. The calipers have no zero errors. (10 marks) a.

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

b.

c.

d.

e.

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

5.

The following calipers have their jaws closed firmly. However, the readings are not exactly zero. Determine the zero error for each case. (8 marks) a.

b.

c.

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

d.

6.

The following calipers have zero errors as indicated in each case. Determine the actual reading of each caliper. (12 marks) a.

b.

c.

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

d.

Questions 2, 3, 4, 5, and 6 taken from website http://johanrusli.files.wordpress.com/2013/05/worksheet2verniercalipersmicrometerscrewgauge2.pdf. Site accessed on 22/7/2013 at 11.00 am

7.

Convert the absolute uncertainties in the following measurements into percentage uncertainties. Restate each measurement in the form:

     % . Percentage uncertainties should be stated in 2 s.f. a. b. c. d.

8.

 1.02  0.01   20.5  0.2  " #$  100  10 %" & 20.3  0.2 (

(3 marks) (3 marks) (3 marks) (3 marks)

Convert the percentage uncertainties in the following measurements into absolute uncertainties. Restate each measurement in the form:

     )"*  a. b. c. d.

+ 1.1 ,  10% - 3.55 -  2 %  9.81  " #0  0.5 %  20.3 1%  1 %

(3 marks) (3 marks) (3 marks) (3 marks)

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

9.

Calculate the percentage uncertainties for the following terms, given the measurements of the respective variables. a.  0 given  1.00  0.01  (3 marks) (3 marks) b. √& given & 20.5 (  2 % c. 2 (
+ ) given
1.25  0.01  and  2.42  0.01  (4 marks)

10. A student measures and states the mass of a trolley as  1.00 1%  1 %. The student then releases the trolley down a ramp and measures the speed of the trolley at the bottom of the ramp as  2.50  0.02  " #$ . a. Calculate the best estimate of the kinetic energy of the trolley at the $

bottom of the ramp. (Use 78   0 ) 0

(3 marks)

b. What is the percentage uncertainty in the student’s measurement of the trolley’ speed? (2 marks) c. Hence, calculate the % uncertainty in the student’s measurement of the trolley’s kinetic energy. (3 marks) d. How should the student record the kinetic energy of the trolley? The student must include the absolute uncertainty in the trolley’s kinetic energy. (3 marks) 11. The following are results of a particular experiment relating to the movement of an object: Initial velocity = 20.3 m s-1 ± 2% Final velocity = 10.5 m s-1 ± 2% Time taken for velocity to change = 5.1 ± 0.1 s a. What is the uncertainty in the change in velocity, ∆, of the object . (4 marks) b. Calculate the measured value of the object’s acceleration. State your answer with its absolute uncertainty. (5 marks)

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

5.

The equation that relates the frequency, : of a simple pendulum with its length,  is:

:

$

0;

<

= >

A student uses a string of length  0.700  0.001 . a. Calculate the value of the best estimate of the frequency. (1 marks) b. What is the percentage uncertainty in the frequency of the pendulum? (3 marks) c. What is the absolute uncertainty in the frequency of the pendulum? (2 marks)

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TAYLOR’S COLLEGE SUBANG JAYA CAMBRIDGE A – LEVEL PHYSICS

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