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You are designing a lathe motor, part of which consists of a uniform cylinder whose mass is 90 kg and whose radius is 0.70 m that 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, the cylinder's angular velocity is zero. At t = 25 s, its angular speed is 400 rev/min.
(a) What is the magnitude of the cylinder's angular momentum at t = 25 s?
kg·m2/s
(b) At what rate is the angular momentum increasing?
kg·m2/s2
(c) What is the magnitude of the torque acting on the cylinder?
N·m
(d) What is the magnitude of the frictional force acting on the rim of the cylinder?
N
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