Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 11 - Rolling, Torque, and Angular Momentum - Problems - Page 320: 1d

Answer

Relative to the woman, the magnitude of the acceleration at the center of the tire is zero.

Work Step by Step

We can convert the speed of the car into units of $m/s$: $v = (80~km/h)\times (\frac{1000~m}{1~km})\times (\frac{1~h}{3600~s}) = 22~m/s$ The velocity of the tire's center of mass is equal to the velocity of the car. Since the car is moving at a constant speed, the acceleration of the woman is zero, and the acceleration at the center of the tire is zero. The acceleration at the center of the tire relative to the woman is $(0-0)$ which is $0$ Relative to the woman, the magnitude of the acceleration at the center of the tire is zero.
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