Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 4 - Kinematics in Two Dimensions - Exercises and Problems: 57

Answer

(a) $a_c = 40~m/s^2$ (b) $a_c = 80~m/s^2$

Work Step by Step

(a) $a_c = \omega^2~r$ If $r$ is doubled, then the centripetal acceleration is also doubled. The centripetal acceleration of the speck of dust that is twice as far away from the center is $40~m/s^2$. (b) $a_c = (2\omega)^2~r = 4\omega^2~r = 4\times(20~m/s^2)$ The centripetal acceleration would be $80~m/s^2$.
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