Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 14 - Waves and Sound - Problems and Conceptual Exercises - Page 491: 7

Answer

$v=0.50m/s$, $f=67Hz$

Work Step by Step

To find the speed, substitute the known values of $d=2.6cm=0.026m$ and $g=9.8m/s^2$ to get $$v=\sqrt{(9.8m/s^2)(0.026m)}=0.50m/s$$ To find the frequency, use the equation $$v=f\lambda$$ to solve for frequency $f$. $$f=\frac{v}{\lambda}$$ Substitute known values of $v=0.50m/s$ and $\lambda=0.75cm=0.0075m$ to get a frequency of $$f=\frac{0.50m/s}{0.0075m}=67Hz$$
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