A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it along its length. Young's modulus of steel is . The longitudinal strain produced in the wire is __________ . [2023]

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Solution

Q.
A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it along its length. Young's modulus of steel is $2.0 \times 10^{11} {N/m}^{2}$ . The longitudinal strain produced in the wire is __________ $\times 10^{- 5}$ . [2023]

Ans.
(25)

$Strain = \frac{stress}{Y} = \frac{\frac{62.8 \times 10^{3}}{π \times {(0.02)}^{2}}}{2 \times 10^{11}}$

$= \frac{62.8 \times 10^{3}}{3.14 \times 4 \times 10^{- 4} \times 2 \times 10^{11}} = 2.5 \times 10^{- 4} = 25 \times 10^{- 5}$

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