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Solution: Unless indicated otherwise, assume the speed of

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 4E Chapter 16

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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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?

Step-by-Step Solution:
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Solution 4E 6 The amplitude of the sound wave is A = 1 m = 10 m. Maximum pressure is 10 pa. The bulk modulus of air is, 5 B = 1.42 × 10 pa. We know that, 5 6 P max= BKA = 1.42 × 10 × K × 10 1 10 = 1.42 × K × 10 K = 100 / 1.42 = 70.42. As we got the wave number here, the frequency will be, K = 2 / = 2 / v 70.42 = 2 / 344 = (70.42 × 344) / 2 = 3857.54 Hz . Conclusion: The highest frequency exceeding the limit is 3857.54 Hz. and it is audible to the workers as human can hear up to 2000 Hz frequency.

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Chapter 16, Problem 4E is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The full step-by-step solution to problem: 4E from chapter: 16 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 4E from 16 chapter was answered, more than 527 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Sound, frequency, amplitude, air, machine. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “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?” is broken down into a number of easy to follow steps, and 100 words.

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Solution: Unless indicated otherwise, assume the speed of