Physics (10th Edition)

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

Chapter 8 - Rotational Kinematics - Problems - Page 214: 27

Answer

The angular displacement of each wheel is $267rad$.

Work Step by Step

We have $\omega=+74.5rad/s$, $\alpha=+6.7rad/s^2$ and $t=4.5s$ The initial velocity of each wheel is $$\omega_0=\omega-\alpha t=+44.35rad/s$$ The angular displacement can be calculated by $$\theta=\omega_0t+\frac{1}{2}\alpha t^2=267rad$$
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