A) Derive an expression for the change in the moment of inertia for such a rod, ΔI, that includes the initial moment of inertia I0, the coefficient of linear expansion for the rod material, and a temperature change ΔT. (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 −6 °C−1, what would its angular velocity be? Use conservation of angular momentum.
A) Derive an expression for the change in the moment of inertia for such a rod, ΔI, that includes the initial moment of inertia I0, the coefficient of linear expansion for the rod material, and a temperature change ΔT. (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 −6 °C−1, what would its angular velocity be? Use conservation of angular momentum.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 l is its length. (A) Derive an expression for the change
in the moment of inertia for such a rod, ΔI, that includes the initial moment of inertia I0, the
coefficient of linear expansion for the rod material, and a temperature change ΔT. (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 −6 °C−1, what would its angular velocity be? Use conservation of angular
momentum .
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