Chapter 16, Problem 054 GO the spher which ae the drawing. The source emits soun

Question

Chapter 16, Problem 054 GO the spher which ae the drawing. The source emits sound uniformly in at directions. On the spheres are drewn three small patches that may or may not have equai areas. However, the same sound gower passes through oach patch The source prodices 2 1 w of sound poe, and the rnal of thn tnneantre spheres are ra-o. 20 m and r,-1.2 m (a) Deemne the sound imensay a eon or the three patches. (b) The iound power that passes through each of the patches 1.6 × 10, wrina the area of each patch 1.moweve each Datcounds Patch L Patch 2 Patch 3 A Source of sound

Explanation / Answer

intensity is

I = P/A

sound intensiyt at patch1 and 2 are same becase they are at same distance

I_1 = I_2 = P/4 pi r_A^2 = 2.1 W/ 4 pi ( 0.20 )^2 = 4.179 W/m^2

I_3 = P/4 pi r_B^2 = 2.1 W/ 4 pi ( 1.2 )^2 = 0.116 W/m^2

A1= A2 = P/ I1= P/ I2 = 1.6 * 10^-3 W/4.179 W/m^2=0.382 * 10^-3 m^2

A3 = P/ I3 = 1.6 * 10^-3 W/0.116 W/m^2=13.79 * 10 ^-3 m^2

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