A uniform solid brass sphere is rotating with angular speed ω 0 about a diameter. If its temperature is now increased by 10 0 ∘ C , what will be its new angular speed. (Given α B = 2.0 × 1 0 − 5 p

Question

A uniform solid brass sphere is rotating with angular speed ω 0 ​ about a diameter. If its temperature is now increased by 10 0 ∘ C , what will be its new angular speed. (Given α B ​ = 2.0 × 1 0 − 5 per ∘ C )

TestHub · Accepted Answer

Concepts: Conservation of angular momentum, thermal expansion.

Solution: $I_{1} ω_{1} = I_{2} ω_{2}$

$I \propto R^{2}$

$R_{2} = R_{1} (1 + α Δ T)$

$ω_{2} = ω_{1} / (1 + α Δ T)^{2} \approx 0.996 ω_{0}$ .

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