A uniform metal rod of length L and mass M rotates freely in a horizontal plane about an axis through one end perpendicular to the rod, with angular speed ω 0 . If room temperature increases by T an

Question

A uniform metal rod of length L and mass M rotates freely in a horizontal plane about an axis through one end perpendicular to the rod, with angular speed ω 0 ​ . If room temperature increases by T and its expansion coefficient is α , the approximate decrease in angular speed is:

TestHub · Accepted Answer

Angular momentum of the free rod is conserved: I ω = constant Moment of inertia scales with length squared: I ∝ L 2 ω 0 ​ Δ ω ​ ≈ − 2 α T The decrease is 2 ω 0 ​ α T

Physics - Heat & Thermo Question with Solution | TestHub

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