A steel rod has radius 50 mm and length 2 m . It is stretched along its length with a force of 400 kN . This causes an elongation of 0 . 5 mm . Find the (approximate) Young's modulus of steel from this information.

Question

A steel rod has radius 50 mm and length 2 m . It is stretched along its length with a force of 400 kN . This causes an elongation of 0 . 5 mm . Find the (approximate) Young's modulus of steel from this information., 2 × 10 10 N m 2, 10 11 N m 2, 2 × 10 11 N m 2, 10 12 N m 2

MARKS App · Accepted Answer

Elongation, Δ L = F A L Y F A = 400 × 10 3 π 50 × 10 - 3 2 ∴ A = π r 2 - 50 . 92 × 10 6 ⇒ Y = 50 . 92 × 10 6 × 2 0 . 5 × 10 - 3 ∴ Y = 2 × 10 11 Nm 2

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