   Chapter 14, Problem 19P

Chapter
Section
Textbook Problem

There is evidence that elephants communicate via in-frasound, generating rumbling vocalizations as low as 14 Hz that can travel up to 10. km. The intensity level of these sounds can reach 103 dB, measured a distance of 5.0 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.

To determine
The intensity level of infra sound from the source

Explanation

Given Info: The intensity level of sound is 103 dB, distance from the source is 5 m, and distance of elephant communicate via infrasound is 10km.

Formula for ratio of sound intensity

I1I2=r22r12

• I1 is the intensity of sound of elephant measured at r1 .
• I2 is the intensity of sound of elephant measured at r2 .
• r1 is the distance from the source when intensity level is 103 dB.
• r2 is the distance of the source.

Rearrange the expression in terms of I2 .

I2=I1r12r22 (1)

Formula for intensity level of the sound at a distance r2 from the elephant is,

β2=10log(I2I0) (2)

• I0 is reference intensity.

Use equation (1) in (2) to rewrite β2

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