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 474: 33c

Answer

$\omega = 1100~s^{-1}$

Work Step by Step

On the graph, we can see that $\lambda = 0.40~m$ We can find $k$: $k = \frac{2\pi}{\lambda}$ $k = \frac{2\pi}{0.40~m}$ $k = 15.7~m^{-1}$ We can find the wave speed $v$: $v = \frac{0.560~m}{0.0080~s}$ $v = 70~m/s$ We can find $\omega$: $v = \frac{\omega}{k}$ $\omega = v~k$ $\omega = (70~m/s)(15.7~m^{-1})$ $\omega = 1100~s^{-1}$
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