Posted by Edwin on Friday, March 26, 2010 at 2:33pm.
(i) First compute the moment of inertia, I, with the formula for a disc or cyliner. The kinetic energy is (1/2)I w^2 and the angular momentum is I w.
(ii) The electric power driving the motion is T*w, where T is the torque. Set that equal to the 50W electrical power input and solve for T. The electrical motor torque in steady state operation equals the frictional torque. The words torque and couple are interchangeable.
(iii) During the slowdown time, t:
T*t = initial angular momentum = I w.
You know T from (ii) and I w from (i). . Solve for the time, t.
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