Physics (10th Edition)

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

Chapter 8 - Rotational Kinematics - Focus On Concepts - Page 211: 3



Work Step by Step

The second hand subtends an angle of $2\pi rad$ in $60s$. Its angular speed is $$\omega=\frac{2\pi}{60}=0.105rad/s$$ We have $r=6cm$. In a time t, the second hand moves through an arc $s=24cm$, which corresponds to $$\theta=\frac{s}{r}=4rad$$ The time t it takes is $$t=\frac{\theta}{\omega}=38.1s$$
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