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Chapter 17, Problem 095 The sound intensity is 0.0070 W/m2 at a distance of 13 m...

Chapter 17, Problem 095 The sound intensity is 0.0070 W/m2 at a distance of 13 m from an isotropic point source of sound. (a) What is the power of the source? (b) What is the sound intensity 6.3 m from the source? (c) What is the sound level 13 m from the source?

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Answer #1

Sound intensity at a distance of 13 m from the source = I1 = 0.007 W/m2

Initial distance = R1 = 13 m

Power of the source = P

P = I1(4R12)

P = 4(0.007)(13)2

P = 14.866 W

Sound intensity at a distance of 6.3 m from the source = I2

New distance = R2 = 6.3 m

I1(4R12) = I2(4R22)

I1R12 = I2R22

(0.007)(13)2 = I2(6.3)2

I2 = 0.0298 W/m2

Sound level at 13 m from the source = 1

1 = 98.45 dB

a) Power of the source = 14.866 W

b) Sound intensity 6.3 m from the source = 0.0298 W/m2

c) Sound level 13 m from the source = 98.45 dB

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