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I need help with finding the equation for Physics Walker fourth edition chapter

ID: 2301571 • Letter: I

Question

I need help with finding the equation for Physics Walker fourth edition chapter 14 question 97, there is no description in your solutions section.

The ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.55-g pin is dropped from a height of 28 cm, and that the pin emits sound for 2.5 ms when it lands. Assuming all of the mechanical energy of the pin is converted to sound energy, and that the sound radiates uniformly in all directions, find the maximum distance from which a person can hear the pin drop. (This is the theoretical maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.)

Explanation / Answer

The dynamic range of human hearing and sound intensity spans from 10-12 W/m2 to 10 - 100 W/m2

And we know that Let
P=Power
p=pressure
I = intensity
r=distance

I=Power/4?r

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