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Question

A steel rod has a radius 10 mm and a length 2 m. A force strtches it along its length and produes a strain of 0.30%. Youngs modulus of the steel is 2 ×1011 N/m2. The magnitude of the force strething the rod is about

A
94 kN
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B
188 kN
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C
201 kN
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D
402 kN
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Solution

The correct option is B 188 kN
given, steel rod of length =2 m and radius =10 mm
Young's modulus of steel =2×1011 N/m2
Strain =0.3%Δll=0.003F=YA(Δll)=2×1011×π(104)(0.003)=6π×104 N=188KN

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