# A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 3.73 m and a rotational inertia of 208 kg·m2 about the axis of rotation. A 73.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.35 rad/s when the student starts at the rim, what is the angular speed when she is 1.59 m from the center?

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A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 3.73 m and a rotational inertia of 208 kg·m2 about the axis of rotation. A 73.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.35 rad/s when the student starts at the rim, what is the angular speed when she is 1.59 m from the center?

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Step 1

The expression from conservation of angular momentum,

Step 2

Substitute the ...

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