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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 16 / Problem 6E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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QUESTION:

Problem 6E

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

(a) In a liquid with density 1300 kg/m3, longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid. (b) A metal bar with a length of 1.50 m has density 6400 kg/m3. Longitudinal sound waves take 3.90 X 10-4 s to travel from one end of the bar to the other. What is Young’s modulus for this metal?

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QUESTION:

Problem 6E

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

(a) In a liquid with density 1300 kg/m3, longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid. (b) A metal bar with a length of 1.50 m has density 6400 kg/m3. Longitudinal sound waves take 3.90 X 10-4 s to travel from one end of the bar to the other. What is Young’s modulus for this metal?

ANSWER:

Step 1 of 3

Assume the speed of sound in air to be v = 344 m/s.

(a). Bulk modulus of liquid is calculated by

Given data:

Liquid density $\rho{}=1300\ kg/{m}^{3}$

Wavelength $\lambda{}=8\ m$

Frequency of wave $f=400\ Hz$

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