Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 8 - Rotational Kinematics - Problems - Page 212: 2


a) $\overline\omega =0.15rad/s$ b) $\overline\omega =-0.2rad/s$ c) $\overline\omega =-0.6rad/s$ d) $\overline\omega =0.4rad/s$

Work Step by Step

The average angular velocity is calculated by $$\overline\omega = \frac{\Delta\theta}{\Delta t}$$ a) $$\overline\omega = \frac{\Delta\theta}{\Delta t}=\frac{0.75rad-0.45rad}{2s}=0.15rad/s$$ b) $$\overline\omega = \frac{\Delta\theta}{\Delta t}=\frac{0.54rad-0.94rad}{2s}=-0.2rad/s$$ c) $$\overline\omega = \frac{\Delta\theta}{\Delta t}=\frac{4.2rad-5.4rad}{2s}=-0.6rad/s$$ d) $$\overline\omega = \frac{\Delta\theta}{\Delta t}=\frac{3.8rad-3rad}{2s}=0.4rad/s$$
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