A metal rod of length 5 m lies on a smooth table. Young's modulus is 1.6 × 1 0 11 N / m 2 and α = 1.2 × 1 0 − 5 per °C. Its temperature changes from 20°C to 80°C. Find the elastic stress developed.

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PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

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A metal rod of length 5 m lies on a smooth table. Young's modulus is $1.6 \times 1 0^{11} N / m^{2}$ and $α = 1.2 \times$ $1 0^{- 5}$ per °C. Its temperature changes from 20°C to 80°C. Find the elastic stress developed.

Answer:

Solution:

The rod is free to expand on a smooth table, so no force opposes the expansion. It lengthens by $Lα Δ T = 3.6 mm$ and stress is zero.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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