There is evidence that elephants communicate via infrasound, generating rumbling

Question

There is evidence that elephants communicate via infrasound, generating rumbling vocalizations as low as 14 Hz that can travel up to 10 km. The intensity level of these sounds can reach 102 dB, measured a distance of 6.0 m from the source. Determine the intensity level of the infrasound 10 km from the source, assuming the sound energy radiates uniformly in all directions. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. dBas

Explanation / Answer

Po= 10log(I/Io)

so

p = Po/(4*pi*10000^2)

=10log(I/Io)*(4*pi*6^2)/(4*pi*10000^2)

= 102*2/6.443 = 37.2456

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