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A potter's wheel is rotating around a vertical axis through its center at a frequency of...

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Physics

A potter's wheel is rotating around a vertical axis through itscenter at a frequency of 1.6 rev/s . The wheel can be considered auniform disk of mass 6.0 kg and diameter 0.50 m . The potter thenthrows a 2.2-kg chunk of clay, approximately shaped as a flat diskof radius 7.1 cm , onto the center of the rotating wheel.

Part A

What is the frequency of the wheel after the clay sticks toit?

Answer & Explanation Solved by verified expert
4.5 Ratings (755 Votes)

By conservation of angular momentum:

   I ?initial = I?final

The moment of inertia for wheel is,

     Iwheel   = (1/2) M R2

                = (1/2) *6.00 * 0.252

                =  0.1875

The moment of inertia for clay is,

Iclay = (1/2) M R2

       = (1/2) * 2.2* 0.0712

      =  0.00554

Therefore,

         Iwheel * ?initial   =   (Iwheel + Iclay) * ?final

                 (0.1875) * (1.6 rev/s)   = (0.1875+ 0.00554) * ?final

                            ?final= 1.55 rev /sec
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