Can someone help me answer this question? Be as detailed as possible, I want to

Question

Can someone help me answer this question? Be as detailed as possible, I want to understand the solution.

The pulley shown (Figure 1) has a moment of inertia IA = 0.900 kg?m2 , a radiusr = 0.300 m , and a mass of 20.0 kg. A cylinder is attached to a cord that is wrapped around the pulley. Neglecting bearing friction and the cord’s mass, express the pulley’s final angular velocity in terms of the magnitude of the cord’s tension, T (measured in N), 3.00 s after the system is released from rest. Use the principle of angular impulse and momentum.

Explanation / Answer

angular impulse = change in angular momentum

torque*t = I*w

T*r*t = I*w

T = tension

r = radius = 0.3 m

t = time interval = 3s

w = T*r*t/I

w = (T*0.3*3)/0.9

w = 1 T radian/s

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