SOLUTION: A proposed city ordinance will make it illegal to create sound in a residential area that exceeds 72 decbels during the day and 55 decibels during the night .How many times as inte

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Question 457258: A proposed city ordinance will make it illegal to create sound in a residential area that exceeds 72 decbels during the day and 55 decibels during the night .How many times as intense is the noise level allowed during the day than at night?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A proposed city ordinance will make it illegal to create sound in a residential area that exceeds 72 decibels during the day and 55 decibels during the night .How many times as intense is the noise level allowed during the day than at night?
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M = 10log[I/Io]
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72 = 10log[I/Io]
log[I/Io] = 7.2
I/Io = 10^7.2
----
I(72) = 10^7.2*Io
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Same procedure gives:
I(55) = 10^5.5*Io
----
Dividing I(72)/I(55) you get [10^7.2/10^5.5] = 10^1.7 = 60.12 as intense.
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Cheers,
Stan H.