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Calculating the Work and Energy for Spinning a Grindstone

Consider a person who spins a large grindstone by placing her hand on its edge and exerting a force through part of a revolution as shown in this Figure below. In this example, we verify that the work done by the torque she exerts equals the change in rotational energy.

a$)$ How much work is done if she exerts a force of $195$ N through a rotation of $30?$ The force is kept perpendicular to the grindstone's $32$ cm radius at the point of application, and the effects of friction are negligible.

b$)$ What is the final angular velocity if the grindstone has a mass of $80\mathrm{.}0$ kg $?$

c$)$ What is the final rotational kinetic energy?