College Physics (4th Edition)

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

Chapter 5 - Problems - Page 189: 71

Answer

The tangential speed of the summit of Mount Kilimanjaro is $464.1~m/s$

Work Step by Step

We can find the angular speed of the Earth as it rotates: $\omega = \frac{2\pi~rad}{(24)(3600~s)}$ $\omega = 7.27\times 10^{-5}~rad/s$ We can find the tangential speed of the summit of Mount Kilimanjaro: $v = \omega~r$ $v = (7.27\times 10^{-5}~rad/s)(6378~km+5.895~km)$ $v = 0.4641~km/s$ $v = 464.1~m/s$ The tangential speed of the summit of Mount Kilimanjaro is $464.1~m/s$
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