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Question

A steel rod has a radius of 10mm and a length of 1.0m. A force stretches it along its length and produces a strain of 0.16%. Young's modulus of the steel is 2.0×1011N/m2. What is the magnitude of the force stretching the rod?

A
100kN
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B
314kN
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C
31.4kN
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D
200kN
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Solution

The correct option is C 100kN
r=10×103m,l=1m,
Δl=0.16100l and Y=2×1011N/m2
F=YAΔll=2×1011×3.14×104×0.16×102
=100kN.

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