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 16 - Traveling Waves - Exercises and Problems: 10

Answer

(a) $k = 3.1~rad/m$ (b) $v = 9.6~m/s$

Work Step by Step

(a) We can find the wave number as: $k = \frac{2\pi}{\lambda}$ $k = \frac{2\pi~rad}{2.0~m}$ $k = 3.1~rad/m$ (b) We can find the frequency as: $f = \frac{\omega}{2\pi}$ $f = \frac{30~rad/s}{2\pi}$ $f = 4.8~Hz$ We can find the wave speed as: $v = \lambda~f$ $v = (2.0~m)(4.8~Hz)$ $v = 9.6~m/s$
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