Question

In: Physics

When you stand 1 meter away from the loudspeakers for a rock band, it is just...

When you stand 1 meter away from the loudspeakers for a rock band, it is just on the threshold of pain (approximately 120 dB). How far away should you stand to reduce the sound intensity level to 60 dB, equivalent to an everyday normal conversation?

Expert Solution

Loudness of sound 1m away from the loudspeaker = ₁ = 120 dB

Distance from the loudspeaker = R₁ = 1m

Intensity of sound of 120dB = I₁

I₁ = 1 W/m²

New distance from the loudspeaker = R₂

Loudness of sound at 'R₂' distance from the loudspeaker = ₂ = 60 dB

Intensity of sound of 60dB = I₂

I₂ = 10^-6 W/m²

Power of sound from the loudspeaker = P

P = I₁(4R₁²) = I₂(4R₂²)

I₁(4R₁²) = I₂(4R₂²)

I₁R₁² = I₂R₂²

(1)(1)² = (10^-6)R₂²

R₂ = 1000 m

You should stand 1000m from the loudspeaker so that the sound intensity level is 60dB.

genius_generous answered 2 years ago

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