Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 12 - Rotation of a Rigid Body - Exercises and Problems: 12

Answer

The rotational kinetic energy is 1.7 J

Work Step by Step

We can convert the angular velocity to units of rad/s. $\omega = (100~rpm)(2\pi~rad/rev)(\frac{1~min}{60~s})$ $\omega = 10.5~rad/s$ We can find the rotational inertia of the baton. $I = \frac{1}{12}ML^2$ $I = \frac{1}{12}(0.40~kg)(0.96~m)^2$ $I = 0.0307~kg~m^2$ We can find the rotational kinetic energy. $KE_{rot} = \frac{1}{2}I~\omega^2$ $KE_{rot} = \frac{1}{2}(0.0307~kg~m^2)(10.5~rad/s)^2$ $KE_{rot} = 1.7~J$ The rotational kinetic energy is 1.7 J.
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