Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 10 - Rotation - Problems - Page 293: 94a

Answer

The linear speed as seen by the pilot is $~~310~m/s$

Work Step by Step

We can express the angular speed in units of $rad/s$: $\omega = (2000~rev/min)(\frac{2\pi~rad}{1~rev})(\frac{1~min}{60~s}) = 209.44~rad/s$ We can find the tangential speed: $v_t = \omega~r$ $v_t = (209.44~rad/s)(1.5~m)$ $v_t = 310~m/s$ The linear speed as seen by the pilot is $~~310~m/s$
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