A cylinder of diameter exactly 1 cm at 30°C is to enter a hole in a steel plate. The hole diameter is 0.99967 cm at 30 ∘ C . With steel α = 1.1 × 1 0 − 5 ∘ C − 1 , to what temperature must the plate be heated?

1 = 0.99967 [ 1 + α ( T − 30 )] . T = 30 + 1.1 1.1 × 1 0 − 5 10996 = 60.0 1 ∘ C . Nearest option is 60°C.

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

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A cylinder of diameter exactly 1 cm at 30°C is to enter a hole in a steel plate. The hole diameter is 0.99967 cm at $30^{\circ} C$ . With steel $α = 1.1 \times 1 0^{- 5}^{\circ} C^{- 1}$ , to what temperature must the plate be heated?

Options:

Answer:

Solution:

$1 = 0.99967 [1 + α (T - 30)]$ .

$T = 30 + \frac{\frac{10996}{1.1 \times 1 0 ^{- 5}}}{1.1} = 60.0 1^{\circ} C .$

Nearest option is 60°C.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

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