We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross section with radius r = 3.2 mm. If we hang the rod vertically and hang a mass of m = 22 kg at its end we find that it is stretched by d = 2.5 mm. a) Using the information given, estimate the Young’s modulus for this metal rod, in N/m. b) If we know that this metal has a density of 11 g/cm^3, what would be the speed of sound in this metal in m/s?
We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross section with radius r = 3.2 mm. If we hang the rod vertically and hang a mass of m = 22 kg at its end we find that it is stretched by d = 2.5 mm. a) Using the information given, estimate the Young’s modulus for this metal rod, in N/m. b) If we know that this metal has a density of 11 g/cm^3, what would be the speed of sound in this metal in m/s?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 40PQ: A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force....
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We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross section with radius r = 3.2 mm. If we hang the rod vertically and hang a mass of m = 22 kg at its end we find that it is stretched by d = 2.5 mm.
a) Using the information given, estimate the Young’s modulus for this metal rod, in N/m.
b) If we know that this metal has a density of 11 g/cm^3, what would be the speed of sound in this metal in m/s?
Expert Solution
Step 1
Given L = 1.2 m
r = 3.2 mm
m = 22 kg
d = 2.5 mm
we have to find out Young’s modulus for this metal.
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