Physics homework without SHOUTING

Airplanes are noisy things. For example, if you stand really close to a runway, a military jet can produce a sound intensity of about 100 W/m 2 100\text{ W/m}^2 at a distance of 30 m from the plane (this is beyond painful noise). You live near a military airport and want to work on physics with your friend. Since you don't want to shout, you decide to find a spot far enough away from the airport that the airplane noise is below the threshold of conversation ( 1 0 6 W/m 2 ) (10^{-6}\text{ W/m}^2) . How far do you need to go from the airport in kilometers to accomplish this?


The answer is 300.

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1 solution

Discussions for this problem are now closed

David Mattingly Staff
May 13, 2014

The intensity of sound falls off as 1 / d i s t a n c e 2 1/distance^2 . Hence we have I 1 r 1 2 = I 2 r 2 2 I_1 r_1^2=I_2 r_2^2 . We can solve this for r 2 = 300 k m r_2=300~km .

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