College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 5 - Problems - Page 188: 58


The frequency should be $0.0455~s^{-1}$

Work Step by Step

To simulate Earth's gravity, the radial acceleration should be equal to $g$. We can find the required angular velocity: $\omega^2~r = g$ $\omega = \sqrt{\frac{g}{r}}$ $\omega = \sqrt{\frac{9.80~m/s^2}{120~m}}$ $\omega = 0.2858~rad/s$ We can find the frequency: $f = \frac{\omega}{2\pi}$ $f = \frac{0.2858~rad/s}{2\pi}$ $f = 0.0455~s^{-1}$ The frequency should be $0.0455~s^{-1}$.
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