Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 8 - Think and Discuss: 102

Answer

The smaller wheel's rotational speed is twice that of the larger wheel.

Work Step by Step

The tangential speeds at the rims are equal, because the rims move at the same linear speed as the belt, if it doesn't slip. Tangential speed is radial distance multiplied by rotational speed. The smaller wheel, with half the radius, must have twice the rotational speed.
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