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 289: 30b

Answer

The radial acceleration of a point on the rim is $~~2360~m/s^2$

Work Step by Step

We can express the angular speed in units of $rad/s$: $\omega = (2760~rev/min)(\frac{2\pi~rad}{1~rev})(\frac{1~min}{60~s}) = 289~rad/s$ We can find the radial acceleration of a point on the rim: $a_r = \omega^2~r$ $a_r = (289~rad/s)^2~(0.0283~m)$ $a_r = 2360~m/s^2$ The radial acceleration of a point on the rim is $~~2360~m/s^2$
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