Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 16 - Waves-I - Problems - Page 475: 56e

Answer

$v = 8.0~m/s$

Work Step by Step

$y(x,t) = 0.040~sin(5\pi x)~cos(40 \pi t)$ We can see that $\omega = 40 \pi$ and $k = 5\pi$ Note that $\omega$ and $k$ also have these values in the equations for the two traveling waves that interfere to produce this wave. We can find the speed: $v = \frac{\omega}{k}$ $v = \frac{40 \pi~s^{-1}}{5\pi~m^{-1}}$ $v = 8.0~m/s$
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