Physics (10th Edition)

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

Chapter 8 - Rotational Kinematics - Problems - Page 212: 7


a) $\overline\alpha=+0.75rad/s^2$ b) $\overline\alpha=-0.75rad/s^2$ c) $\overline\alpha=+1rad/s^2$ d) $\overline\alpha=-2rad/s^2$

Work Step by Step

We have $$\overline\alpha=\frac{\Delta \omega}{\Delta t}=\frac{\omega-\omega_0}{\Delta t}$$ a) $$\overline\alpha=\frac{(+5)-(+2)}{4}=+0.75rad/s^2$$ b) $$\overline\alpha=\frac{(+2)-(+5)}{4}=-0.75rad/s^2$$ c) $$\overline\alpha=\frac{(-3)-(-7)}{4}=+1rad/s^2$$ d) $$\overline\alpha=\frac{(-4)-(+4)}{4}=-2rad/s^2$$
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