Question

In: Physics

The sound intensity is 0.0072 W/m2 at a distance of 20 m from an isotropic point...

The sound intensity is 0.0072 W/m2 at a distance of 20 m from an isotropic point source of sound. (a) What is the power of the source? (b) What is the sound intensity 6.1 m from the source? (c) What is the sound level 20 m from the source?

Solutions

Expert Solution

Initial distance from the source of sound = R1 = 20 m

Sound intensity at a distance of 20 m from the source = I1 = 0.0072 W/m2

Sound level 20 m from the source = 1

1 = 98.57 dB

Power of the source = P

P = I1(4R12)

P = 4I1R12

P = 4(0.0072)(20)2

P = 36.19 W

Sound intensity at a distance of 6.1 m from the source = I2

New distance from the source = R2 = 6.1 m

P = I2(4R22)

P = 4I2R22

36.19 = 4I2(6.1)2

I2 = 0.0774 W/m2

a) Power of the source = 36.19 W

b) Sound intensity 6.1 m from the source = 0.0774 W/m2

c) Sound level 20 m from the source = 98.57 dB


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