Aclay vase on a potter's wheel experiences an angular acceleration of 5.69 rad/s2 due to the application of a 16.0-n m net torque. find the total moment of inertia of the vase and potter's wheel.

The equivalent of the Newton's second law for rotational motions is:

where
is the net torque acting on the object
is its moment of inertia
is the angular acceleration of the object.

Re-arranging the formula, we get

and since we know the net torque acting on the (vase+potter's wheel) system, , and its angular acceleration, , we can calculate the moment of inertia of the system:

The correct choice is c

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