Physics (10th Edition)

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

Chapter 8 - Rotational Kinematics - Problems - Page 216: 77


The angle each wheel rotates in 20s is $484.8rad$

Work Step by Step

The car's linear acceleration $a=0.8m/s^2$, its initial speed $v_0=0$ and the examined duration $t=20s$ The linear distance the car has moved during this time is $$s=v_0t+\frac{1}{2}at^2=160m$$ Each wheel of the car has a rolling motion, which means the linear distance of the car equals the circular arc length rotated by the wheel: $$s=s_{arc}=r\theta$$ $$\theta=\frac{s}{r}$$ The wheel's radius $r=0.33m$, so the angle each wheel rotates in 20s is $$\theta=484.8rad$$
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