Physics (10th Edition)

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

Chapter 8 - Rotational Kinematics - Problems - Page 215: 53

Answer

$\alpha=8.71rad/s^2$

Work Step by Step

We have $v_0=0, v=22m/s$ and $t=9s$. The tire's linear acceleration is $$a=\frac{v-v_0}{t}=2.44m/s^2$$ In rolling motion, $a=a_T=r\alpha$. We know the radius of the tire $r=0.28m$. Therefore, $$\alpha=\frac{a}{r}=8.71rad/s^2$$
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