Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 5 - Trigonometric Identities - Section 5.3 Sum and Difference Identities for Cosine - 5.3 Exercises - Page 220: 76b

Answer

$P = \frac{3}{r}~cos[\frac{2\pi~r}{4.9}- (1026)~(10)]$ We can see a sketch of the graph in the window $[0,20]$ by $[-2, 2]$ The sound pressure $P$ decreases as the radius $r$ from the source increases.
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Work Step by Step

$P = \frac{a}{r}~cos(\frac{2\pi r}{\lambda}- ct)$ $\lambda = 4.9~ft$ $c = 1026~ft/s$ $a = 3~lb/ft^2$ $t = 10~s$ $P = \frac{3}{r}~cos[\frac{2\pi~r}{4.9}- (1026)~(10)]$ We can see a sketch of the graph in the window $[0,20]$ by $[-2, 2]$ The sound pressure $P$ decreases as the radius $r$ from the source increases.
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