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

genius_generous answered 1 month ago

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