Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 10 - Rotational Kinematics and Energy - Conceptual Questions - Page 323: 5

Answer

(a) No. (b) Yes. (c) Yes. (d) No.

Work Step by Step

(a) The velocity is a vector that is tangent to the rotation. This direction varies upon where you are, so it isn't constant. (b) Since the magnitude of the speed is $v=r\omega$ and the angular speed $\omega$/radius $r$ is constant, the speed must be constant. (c) Since the magnitude of the acceleration is $a=r\omega^2$ and the angular speed $\omega$/radius $r$ is constant, the magnitude of the acceleration must be constant. (d) The acceleration is a vector that points towards the center of the circle. This direction varies upon where you are, so it isn't constant.
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