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....
icon
Related questions
icon
Concept explainers
Question

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.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Stress and strain
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning