College Physics (4th Edition)

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

Chapter 11 - Problems - Page 428: 22

Answer

The speed of the wave is $0.836~cm/s$

Work Step by Step

We can find the wavelength: $\lambda = \frac{2\pi}{k}$ $\lambda = \frac{2\pi}{6.0~rad/cm}$ $\lambda = 1.05~cm$ We can find the frequency: $f = \frac{\omega}{2\pi}$ $f = \frac{5.0~rad/s}{2\pi}$ $f = 0.796~Hz$ We can find the speed of the wave: $v = \lambda~f$ $v = (1.05~cm)(0.796~Hz)$ $v = 0.836~cm/s$ The speed of the wave is $0.836~cm/s$
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