Having grown tired of hearing loud music from passing cars at 3 am and the boist

Question

Having grown tired of hearing loud music from passing cars at 3 am and the boisterous yelling of bar patrons at closing, a professor buys a new home in a quiet neighborhood. She is, however, concerned about noise from freeway traffic. Using a sound intensity level meter,she stands at an overpass 12 m above the passing cars and measures a maximum intensity level of 89 dB .

a)If her new home is 2.3 km from the freeway, what's the intensity level there? Assume no decrease due to absorption by air, trees, or other objects.

b)Compare your result with a quiet whisper, 20 dB.

Explanation / Answer

Here ,

a) let the intensity is I2

I1 = 89 dB

distance , d1 = 12 m

d2 = 2.3 km = 2300 m

sound level =I1 - 20* log(d2/d1)

sound level = 89 - 20 * log(2300/12)

sound level = 43.4 dB

the intensity there will be 43.4 dB

b)

for comparing to the wisper

sound level/wisper = 10^((43.3 -20)/10)

sound level/wisper = 216.2

the sound will be 216.2 times that of a quiet wisper

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