Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 4 - Kinematics in Two Dimensions - Conceptual Questions: 13

Answer

(a) $\omega_1 = \omega_2 =\omega_3$ (b) $v_3 > v_1 = v_2$

Work Step by Step

(a) $\omega_1 = \omega_2 =\omega_3$ Each point on the wheel rotates through the same angle per unit time. (b) $v_3 > v_1 = v_2$ For a point on a rotating wheel, $v = \omega ~r$, where $r$ is the distance from the axis of rotation. Since point 3 is farthest from the center, point 3 moves a larger distance than point 1 and point 2 per unit time. Therefore, the speed of point 3 is greater than the speed of point 1 and point 2. Note that point 1 and point 2 move at the same speed since they are the same distance from the center.
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