The moment of inertia I of a uniform rod rotating around its center point is I = 1/12ml^2 where m is the mass of the rod and 1 is its length. (A) Derive an expression for the change in the moment of inertia for such a rod, AI, that includes the initial moment of inertia I0, the coefficient of linear expansion ? for the rod material, and a temperature change AT. (B) A uniform rod of mass 0.500 kg and length 1.000 m at T = 0 °C rotates around its center in free fall (e.g., floating in a space station) at an angular velocity of exactly 1 radian per second. If it is warmed to 30 °C and = 20 × 10 2 -6 °C-1, what would its angular velocity be? Use conservation of angular momentum.

The moment of inertia I of a uniform rod rotating around its center point is I = 1/12ml^2 where m is the mass of the rod and 1 is its length. (A) Derive an expression for the change in the moment of inertia for such a rod, AI, that includes the initial moment of inertia I0, the coefficient of linear expansion ? for the rod material, and a temperature change AT. (B) A uniform rod of mass 0.500 kg and length 1.000 m at T = 0 °C rotates around its center in free fall (e.g., floating in a space station) at an angular velocity of exactly 1 radian per second. If it is warmed to 30 °C and = 20 × 10 2 -6 °C-1, what would its angular velocity be? Use conservation of angular momentum.

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