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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

PhysicsMediumnumerical

A steel plate has hole diameter 9.990 mm at 20°C. A separate pin stays at 20°C with diameter 10.000 mm. The plate has $α = 1 0^{- 5} K^{- 1}$ . Using $d = d_{0} (1 + α Δ T)$ , find the minimum plate temperature to fit the pin, in °C to one decimal.

Answer:

120.10

Solution:

$10.000 = 9.990 [1 + 1 0^{- 5} (T - 20)]$ .

$T - 20 = \frac{( \frac{10}{9.99} - 1 )}{1 0 ^{- 5}} = 100.1001 K .$

$T = 120. 1^{\circ} C$ to one decimal.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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