You are designing a lathe motor, part of which consists of auniform cylinder whose mass is 90 kg and whose radius is 0.40 mthat is mounted so that it turns without friction on its axis,which is fixed. The cylinder is driven by a belt that wraps around its perimeter and exerts a constant torque. At t = 0, thecylinder‘s angular velocity is zero. At t = 25 s,its angular speed is 500 rev/min. (a) What is themagnitude of the cylinder‘s angular momentum at t =25 s? (b) At what rate is the angular momentum increasing?(c) What is the magnitude of the torque acting on thecylinder? (d) What is the magnitude of the frictional force acting on the rim of the cylinder?