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 - Questions: 1

Answer

The odometer will incorrectly calculate the traveled distance to be higher than it is.

Work Step by Step

Each time the wheel turns once, an odometer meant for 27-inch wheels will “think” that the bicycle moved a distance $\pi (27 inches)$. However, if the odometer is moved to a bicycle with 24-inch wheels, each time the wheel turns once, the bicycle will only have traveled a distance of $\pi (24 inches)$. In other words, the odometer will read a distance that is 12.5 percent too high, i.e., by a factor of $\frac{27}{24}$.
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