A glass is fully constrained against expansion. The thermal stress is Y α Δ T . For Pyrex with Y = 6.0 × 1 0 10 Pa , α = 3.0 × 1 0 − 6 ∘ C − 1 and Δ T = 10 0 ∘ C , find the stress in MPa.

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

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A glass is fully constrained against expansion. The thermal stress is $Y α Δ T$ . For Pyrex with $Y =$ $6.0 \times 1 0^{10} Pa, α = 3.0 \times 1 0^{- 6}^{\circ} C^{- 1}$ and $Δ T = 10 0^{\circ} C$ , find the stress in MPa.

Answer:

18.00

Solution:

$σ = 6.0 \times 1 0^{10} \times 3.0 \times 1 0^{- 6} \times 100 = 1.8 \times 1 0^{7} Pa = 18 MPa$ . Ordinary glass with three times larger $α$ would see 54 MPa, so Pyrex survives thermal shock better.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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