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In class we briefly hit something like 90dB on our sound meter when the whole class...

In class we briefly hit something like 90dB on our sound meter when the whole class cheered loudly. If we had 120 people in class that day, roughly how many dBs would a single person have produced at the sound meter, on average?

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Answer #1

Note that the difference in dB's is

dBtot - dB1 = 10log(Itot/I1).

----> dB1 = dBtot - 10log(Itot/I1)

As Itot = 120I1, where I1 is the intensity of each person's shout, then Itot/I1 = 120. Thus,

dB1 = 90 dB - 10log(120)

dB1 = 69.2 dB   [dB intensity of one person, ANSWER]

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