A turntable has a rotational inertia of 0.0169 kg m2 . It is initally rotating a

Question

A turntable has a rotational inertia of 0.0169 kg m2 . It is initally rotating at a constant angular velocity of 33.3 rpm (rev/min). A record (rotational inertia of 0.00245 kg m2 ) is dropped onto the turntable such that it lands coaxially (the axes coincide). The initial angular velocity of the record is zero. After this "rotational collision," the disks will eventually rotate with the same angular velocity due to the friction between the turntable and the record. What is the final angular speed of the two disks?

Explanation / Answer

I1w1 = If .wf

0.0169 x 33.3 = (0.0169+0.00245)wf

wf = 29.08 rpm or 29.08 x2pi / 60 =3.05 rad/s

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