16-1. Please show all work! Calculate the minimum safe distance you can be from

Question

16-1. Please show all work!

Calculate the minimum safe distance you can be from a speaker that puts out 2.00 W of sound, using the following assumptions: The sound power spreads uniformly over a sphere of radius r and area 4r2, your eardrum area is 0.780 cm2, and it cannot tolerate more than 1.00 10-6 W. Damage is done by this small amount of power after prolonged exposure and can be repaired by the body, but damage done by 10-4 W (found at many rock concerts) occurs almost instantaneously and prolonged exposure at that level produces permanent damage.

Explanation / Answer

The power falls off as 1/r^2

So, The power is 10^-4 W for damage to occur

r^2 = 2/10^-4

r = 141.4 m

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