College Physics (4th Edition)

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

Chapter 5 - Problems - Page 191: 89


The rotational speed of the lathe chuck is $9.05~rad/s$

Work Step by Step

We can find the time it takes the cutting tool to move one inch: $t = \frac{d}{v} = \frac{1~in}{0.080~in/s} = 12.5~s$ The lathe chuck must rotate 18 times in this time. We can find the angular speed: $\omega = \frac{18\times 2\pi~rad}{12.5~s} = 9.05~rad/s$ The rotational speed of the lathe chuck is $9.05~rad/s$
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