Practice Problems Rotational Kinematics

Directions: On this worksheet you will practice using the basic formulas for rotational, or angular, 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 2.5 rad/sec. After 5.64 seconds, it has completed 16 revolutions. What is its angular acceleration in rad/sec2?
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Question 2  In Question #1, what is the pulley's angular velocity at the end of the 5.64 seconds?
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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 5.64 seconds if the pulley's diameter is 25 cm?
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Question 4  What is the instantaneous centripetal acceleration experienced by the point on the rim in Question #3?
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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 31 meters of cord around the rim?
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Question 6  Which of the following graphs of omega vs time correctly protrays the behavior ot this pulley?