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Answer: A 55-kg runner runs around the edge of a
Chapter 10, Problem 98P(choose chapter or problem)
A 55-kg runner runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner’s velocity relative to the earth has magnitude 2.8 m/s. The turntable is rotating in the opposite direction with an angular velocity of magnitude 0.20 rad/s relative to the earth. The radius of the turntable is 3.0 m, and its moment of inertia about the axis of rotation is \(80\mathrm{\ kg}\cdot\mathrm{m}^2\). Find the final angular velocity of the system if the runner comes to rest relative to the turntable. (You can model the runner as a particle.)
Questions & Answers
QUESTION:
A 55-kg runner runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner’s velocity relative to the earth has magnitude 2.8 m/s. The turntable is rotating in the opposite direction with an angular velocity of magnitude 0.20 rad/s relative to the earth. The radius of the turntable is 3.0 m, and its moment of inertia about the axis of rotation is \(80\mathrm{\ kg}\cdot\mathrm{m}^2\). Find the final angular velocity of the system if the runner comes to rest relative to the turntable. (You can model the runner as a particle.)
ANSWER:Step 1 of 3
This question is based on the concept of angular momentum conservation. We shall have to find the initial and final angular momenta of the system.
Given , mass of the runner
Speed of the runner
Radius of the turntable
Therefore, angular momentum of the runner,