Answer to Question #253432 in Physics for Aminu Adj

Question #253432

A copper wire of 3m and 1mm diameter is subjected to an extension of 5kg. calculate the elongation produced in the wire of Young modulus of elasticity of copper 120GPa.


1
Expert's answer
2021-10-19T15:09:18-0400

The elongation is


ΔL=LσE=LFAE=4Lmgπd2E, ΔL=435(9.8)3.140.0012120109=1.56103 m.\Delta L=L\frac{\sigma}{E}=L\frac{F}{AE}=\frac{4Lmg}{\pi d^2E},\\\space\\ \Delta L=\frac{4·3·5·(9.8)}{3.14·0.001^2·120·10^9}=1.56·10^{-3}\text{ m}.

About 1.5 mm.


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