A turntable with a moment of inertia of 4.9 kg · m2 rotates freely with an angular speed of 33 1/3 rpm. Riding on the rim of the turntable, 12 cm from the center, is a cute, 3.2-g mouse. Calculate the angular speed of the turntable when the mouse reaches the center.

Question

anonymous · Answer

I got the answer is 35 rpm but I have no idea how to show work for it. Please help?

anonymous · Answer

and 35 rpm is the correct answer

anonymous · Answer

we know moment of inrtia I and the angular speed w...so angular momentum is L=( I times w)..this angular momentum is conserved since no external torce is acting on the system..so final angular momentum=initial angular momentum...|dw:1334558938961:dw| here finat moment of inertia If is same as that of turntable but initial moment of inertia Ii is moment of inertia of turn table + moment of inertia due to mouse..