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Hearing a Pin Drop The ability to hear a “pin drop” is the

Chapter 14, Problem 97GP

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QUESTION:

Problem 97GP

Hearing a Pin Drop 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 1.5 s 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 ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.)

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QUESTION:

Problem 97GP

Hearing a Pin Drop 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 1.5 s 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 ideal maximum distance, but atmospheric absorption and other factors will make the actual maximum distance considerably smaller.)

ANSWER:

Solution 97GP

Step 1 of 5

The objective here is to calculate the maximum distance from which a person can hear a pin drop when the mass of the pin and the height from which it is dropped are known and also the duration for which the sound emitted in this process are known.

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