Physics (10th Edition)

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

Chapter 8 - Rotational Kinematics - Problems - Page 213: 14



Work Step by Step

In the same amount of time, both chambers have the same angular displacement $\Delta\theta$ since they are connected to the same axis in the center. The distance the astronaut has moved, which corresponds to $\Delta\theta$, is $$s=r\Delta\theta$$ So, $$\frac{s_B}{s_A}=\frac{r_B\Delta\theta}{r_A\Delta\theta}=\frac{r_B}{r_A}=\frac{1.1\times10^3m}{3.2\times10^2m}=3.4375$$ $$s_B=(2.4\times10^2m)\times3.4375=8.25\times10^2m$$
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