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Please Help! The intensity in normal conversation, when about 50 cm cm from the

ID: 1299588 • Letter: P

Question

Please Help! The intensity in normal conversation, when about 50 cm cm from the speaker, is about 310?6W/m2 3 x10^-6 W/m^2. Part A: Assume the sound spreads roughly uniformly over a sphere centered on the mouth. Estimate the power output of sound from a person speaking in normal conversation. Express your answer to two significant figures and include the appropriate units. Part B: How many people would it take to produce a total sound output of 65W W of ordinary conversation? [Hint: Add intensities, not dB dB's.] Express your answer using two significant figures.

Explanation / Answer


Power = intensity * area = I * (4*pi*r^2)


P = 3e-6*(4*3.14*0.5*0.5)

P = 9.42e-6 W

P1 =I1*A

I1 = P1/A


I1 = 65/(4*3.14*0.5*0.5) = 20.7


I1 = N*I


N = I1/I = 6.8*10^6