A turntable with a moment of inertia of 5.4 ∙ 10-3 kg ∙ m2 rotates freely with an angular speed of 3313 rpm. Riding on the rim of the turntable, 15 cm from the center, is a cute, 32-g mouse.

(a) If the mouse walks to the center of the turntable, will the turntable rotate faster, slower, or at the same rate? Explain.

(b) Calculate the angular speed of the turntable when the mouse reaches the center.