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Unless indicated otherwise, assume the speed of
Chapter 16, Problem 6E(choose chapter or problem)
(a) In a liquid with density \(1300 \mathrm{~kg} / \mathrm{m}^{3}\), 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 \(6400 \mathrm{~kg} / \mathrm{m}^{3}\). Longitudinal sound waves take \(3.90 \times 10^{-4}\) s to travel from one end of the bar to the other. What is Young’s modulus for this metal?
Questions & Answers
QUESTION:
(a) In a liquid with density \(1300 \mathrm{~kg} / \mathrm{m}^{3}\), 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 \(6400 \mathrm{~kg} / \mathrm{m}^{3}\). Longitudinal sound waves take \(3.90 \times 10^{-4}\) s to travel from one end of the bar to the other. What is Young’s modulus for this metal?
ANSWER: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 = 1300 kg/m 3 Wavelength = 8 m Frequency of wave f = 400 Hz Consider v = f = 40