College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 11 - Problems - Page 429: 31


(a) The amplitude is $2.5~cm$ (b) The wavelength of the wave is $14~m$ (c) The speed of the wave is $20~m/s$ (d) $f = 1.4~Hz$ (e) $T = 0.70~s$

Work Step by Step

(a) Each point oscillates between $y = -2.5~cm$ and $y = 2.5~cm$. Therefore, the amplitude is $2.5~cm$ (b) From the graph for $t=0$, we can see that one cycle starts at $x = 2.0~m$ and ends at $x = 16~m$. Therefore, the wavelength of the wave is $14~m$ (c) On the graph, we can see that the wave moves $2.0~m$ to the right in a time of $0.1~s$. Therefore, the speed of the wave is $20~m/s$ (d) We can find the frequency: $f = \frac{v}{\lambda} = \frac{20~m/s}{14~m} = 1.4~Hz$ (e) We can find the period: $T = \frac{1}{f} = \frac{14~m}{20~m/s} = 0.70~s$
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