Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 4 - Kinematics in Two Dimensions - Exercises and Problems: 38

Answer

The object makes 9.5 revolutions during the first 4 seconds.

Work Step by Step

The change in angular position is equal to the area under the angular velocity versus time graph. Note that the area under the graph from t = 0 to t = 4 s is 60 rad. Therefore, $\theta = 60~rad$ We can convert $\theta$ to revolutions. $\theta = (60~rad)(\frac{1~rev}{2\pi~rad})$ $\theta = 9.5~rev$ The object makes 9.5 revolutions during the first 4 seconds.
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