A typical car horn has an intensity level of 90 dB at a distance of 1.0 m. Part

Question

A typical car horn has an intensity level of 90 dB at a distance of 1.0 m.

Part A

What is the intensity level of 14 car horns all honking at a distance of 1.0 m?

Part B

What is the power output of the combined horns at a distance of 5.0 m?

Express your answer with the appropriate units.

P =

Part C

What is the intensity level four city blocks away from the intersection where the car horns are honking? Assume150m for the length of each block.

A typical car horn has an intensity level of 90 dB at a distance of 1.0 m. Part A What is the intensity level of 14 car horns all honking at a distance of 1.0 m? beta = dB beta = dB Part B What is the power output of the combined horns at a distance of 5.0 m? Express your answer with the appropriate units. P = Part C What is the intensity level four city blocks away from the intersection where the car horns are honking? Assume150m for the length of each block.

Explanation / Answer

90 = 10*log(I/Io)

I = Io*10^9 = 10^-12*10^9 = 10^-3 w/m^2

I1 = 14*I

beta = 10*log(I1/Io)

beta = 10*log14 + 90

beta = 11.46 + 90 = 101.46 dB

partB)

P = I*A = 10^-3*4*3.14*5*5 = 0.314 watts

part C)

I = power/A = 0.314/(4*3.14*600*600) = 6.94*10^-8

beta = 10*logI/Io

beta = 10*log(6.94*10^-8/10^-12)

beta = 48.4 dB

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