Fundamentals of Physics Extended (10th Edition)

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

Chapter 17 - Waves-II - Problems - Page 507: 14a

Answer

The period is $$ T=2.0 \mathrm{ms} \text { (or } 0.0020 \mathrm{s})$$ and the amplitude is $\Delta p_{m}=8.0 \mathrm{mPa}$ (which is equivalent to $ 0.0080 \mathrm{N} / \mathrm{m}^{2}) $ From Eq. $17-15$ we get $$ s_{m}=\frac{\Delta p_{m}}{v \rho \omega}=\frac{\Delta p_{m}}{v \rho(2 \pi / T)}=6.1 \times 10^{-9} \mathrm{m} $$ where $$\rho=1.21 \mathrm{kg} / \mathrm{m}^{3} \quad \quad \text{ and } \quad \quad v=343 \mathrm{m} / \mathrm{s}$$

Work Step by Step

The period is $$ T=2.0 \mathrm{ms} \text { (or } 0.0020 \mathrm{s})$$ and the amplitude is $\Delta p_{m}=8.0 \mathrm{mPa}$ (which is equivalent to $ 0.0080 \mathrm{N} / \mathrm{m}^{2}) $ From Eq. $17-15$ we get $$ s_{m}=\frac{\Delta p_{m}}{v \rho \omega}=\frac{\Delta p_{m}}{v \rho(2 \pi / T)}=6.1 \times 10^{-9} \mathrm{m} $$ where $$\rho=1.21 \mathrm{kg} / \mathrm{m}^{3} \quad \quad \text{ and } \quad \quad v=343 \mathrm{m} / \mathrm{s}$$
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