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 2.75 m and a rotational inertia of 294 kg·m2 about the axis of rotation. A 61.5 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.08 rad/s when the student starts at the rim, what is the angular speed when she is 0.458 m from the center?