University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 14 - Periodic Motion - Problems - Exercises - Page 460: 14.4

Answer

(a) $f = 0.0625~Hz$ (b) The amplitude is 10.0 cm (c) The period is 16.0 seconds. (d) $\omega = 0.393~rad/s$

Work Step by Step

(a) We can find the frequency. $f = \frac{1~cycle}{16.0~s} = 0.0625~Hz$ (b) The object oscillates between -10.0 cm and 10.0 cm. Therefore, the amplitude is 10.0 cm. (c) The object completes one cycle in 16.0 seconds. Therefore, the period is 16.0 seconds. (d) We can find the angular frequency. $\omega = 2\pi~f$ $\omega = (2\pi)(0.0625~Hz)$ $\omega = 0.393~rad/s$
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