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 478: 96a

Answer

$10.59\;W$

Work Step by Step

The rate at which the energy enter the loop from each side is given by $P_{avg}=\frac{1}{2}\mu v \omega^2 y_m^2$ or $P_{avg}=\frac{1}{2}\mu \sqrt {\frac{T}{\mu}} (2\pi f)^2 y_m^2$ or, $P_{avg}=2\pi^2\sqrt {T\mu}f^2 y_m^2$ Substituting the given values, we obtain $P_{avg}=2\times\pi^2\times\sqrt {40\times\frac{0.125}{2.25}}\times (120)^2 (5\times10^{-3})^2\;W$ or, $P_{avg}=10.59\;W$
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