Unless indicated otherwise, assume the speed of

Chapter 16, Problem 4E

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QUESTION:

Problem 4E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

A loud factory machine produces sound having a displacement amplitude of 1.00 µm, but the frequency of this sound can be adjusted. In order to prevent ear damage to the workers, the maximum pressure amplitude of the sound waves is limited to 10.0 Pa. Under the conditions of this factory, the bulk modulus of air is 1.42 X 105 Pa. What is the highest-frequency sound to which this machine can be adjusted without exceeding the prescribed limit? Is this frequency audible to the workers?

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QUESTION:

Problem 4E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

A loud factory machine produces sound having a displacement amplitude of 1.00 µm, but the frequency of this sound can be adjusted. In order to prevent ear damage to the workers, the maximum pressure amplitude of the sound waves is limited to 10.0 Pa. Under the conditions of this factory, the bulk modulus of air is 1.42 X 105 Pa. What is the highest-frequency sound to which this machine can be adjusted without exceeding the prescribed limit? Is this frequency audible to the workers?

ANSWER:

Solution 4E

The amplitude of the sound wave is .

Maximum pressure is 10 pa.

The bulk modulus of air is,

        .

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