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Physics Q. A merry-go-round comprises a wooded disk of radius R=2 meters and rotational inertia 148kg·m2...

Physics

Q. A merry-go-round comprises a wooded disk of radius R=2 meters and rotational inertia 148kg·m2 . It rotates with an angular velocity of 2.5rad/s, with a small (point-like!) child of mass 10kg at its center. The child then crawls to the outside rim. What is the the angular velocity now?____rad/s

please explain how to solve for this.

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Answer #1

Here,

let the angular velocity is wf

as there is no torque acting on the axis

Using conservation of angular momentum

initial angular momentum = final angular momentum

148 * 2.5 = (148 + 10 * 2^2)* wf

solving for wf

wf = 1.97 rad/s

the angular velocity is 1.97 rad/s

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