Essential University Physics: Volume 1 (4th Edition) Clone

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 10 - Exercises and Problems - Page 194: 77

Answer

The value of the rotational kinetic energy is 9 MJ, which is less than 12 MJ, meaning that the specifications are incorrect.

Work Step by Step

We substitute the equation for the moment of inertia of a ring and the unit conversion for angular velocity into the equation for rotational kinetic energy to find: $k_{rotational}=\frac{1}{2}I\omega^2$ $k_{rotational}=\frac{1}{2}mr^2\omega^2$ $k_{rotational}=\frac{1}{2}(1.8252)(.195)^2(30,000\times .104)^2$ $k_{rotational}=\fbox{9 MJ}$
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