Rotational Kinematics

PhysicsLAB

Practice Problems
Rotational Kinematics

Topics: On this worksheet you will practice using the basic formulas for rotational motion.

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Question 1 At t = 0, a pulley rotating on a fixed axle with a constant acceleration has an initial angular velocity of 2.7 rad/sec. After 5.28 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec²?

3.54 x 10¹ rad/sec²

6.19 x 10⁰ rad/sec²

3.63 x 10^-2 rad/sec²

5.11 x 10^-1 rad/sec²

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Question 2 In Question #1, what is the pulley's angular velocity at the end of the 5.28 seconds?

35.4 rad/sec

32.7 rad/sec

19.0 rad/sec

100.5 rad/sec

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Question 3 From Question #2, what is the linear velocity of a point on the rim of the pulley at exactly 5.28 seconds if the pulley's diameter is 36 cm?

12.74 m/sec

5.88 m/sec

1.02 m/sec

6.37 m/sec

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Question 4 What is the instantaneous centripetal acceleration experienced by the point on the rim in Question #3?

100.9 m/sec²

225.3 m/sec²

111.4 m/sec²

262.4 m/sec²

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Question 5 If cord is being wrapped along the edge of the pulley in Question #1 as it turns, how much time would be needed to accumulate 49 meters of cord around the rim?

8.94 seconds

7.67 seconds

9.81 seconds

9.36 seconds

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Question 6 Which of the following graphs of omega vs time correctly protrays the behavior ot this pulley?

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