Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 8 - Rotational Kinematics - Check Your Understanding - Page 210: 16

Answer

The reading gives a speed that is (a) less than the true linear speed.

Work Step by Step

The wheel of the truck has a rolling motion, so $v=v_T=r\omega$ When the speedometer reads the angular speed $\omega$ of the wheel, it applies the radius of the old tires $r_{old}$ to give $v_{old}$. Therefore, when new tires are replaced, with $r_{new}\gt r_{old}$, it follows that $v_{new}\gt v_{old}$. Since the speedometer still reads the old numbers, the reading gives a speed that is (a) less than the true linear speed.
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