Physics (10th Edition)

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

Chapter 8 - Rotational Kinematics - Focus On Concepts - Page 212: 15

Answer

a) is correct.

Work Step by Step

The wheels of the bicycle are carrying out rolling motion, which means the distance traveled by the bicycle equals the arc length made by the bicycle's wheel: $$d=s_{arc}=r\theta$$ Here, we are given the distance the bike travels $d=3km=3\times10^3m$ and the wheel's radius $r=0.4m$ The wheel's displacement, therefore, is $$\theta=\frac{d}{r}=7.5\times10^3rad\times\Big(\frac{1rev}{2\pi rad}\Big)\approx1.2\times10^3 rev$$ a) is correct.
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