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 7.0m above the passing cars and measures a maximum intensity level of 80dB If her new home is 2.8km from the freeway, what's the intensity level there? Assume no decrease due to absorption by air, trees, or other objects. Express your answer as an integer. Express your answer with the appropriate units. Compare your result with a quiet whisper, 20 dB. Express your answer as an integer. Express your answer with the appropriate units.

Explanation / Answer

Intensity is inversely proportional to r^2

therefore

Iin/If =2800*2800/7*7 =1.6*10^5

If=6.25*10^-6 *Iin

L1 = 10log(If/Iref(

L1=10log(6.25*10^-6) + 80

L1 = 27.95 Db answer in integer is 28 Db

L1 is 8 db greater than the whisper of 20 Db

0r 1.39 times more

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