Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 8 - Rotational Motion - Misconceptual Questions: 7

Answer

Choice B.

Work Step by Step

A hoop has twice the moment of inertia of a solid disk of the same mass and radius. The kinetic energy is proportional to the moment of inertia, $KE = \frac{1}{2}I \omega^2$. Spinning at the same angular speed, the wheel with the spokes will have almost twice the kinetic energy of the solid wheel. It only has “almost twice the KE” because the spokes contain some mass, so the spoked wheel isn’t a perfect hoop.
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