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A disk of 2.0 kg and diameter 62.8 cm rotates at an angular velocity ( t )=(1.6 t 2 +1.2 t ) rad/s, where t

A disk of 2.0 kg and diameter 62.8 cm rotates at an angular velocity (t)=(1.6t²+1.2t) rad/s, where t is in seconds. The disk starts from rest at t=0.

a)Determine the angular acceleration of the disk in rad/s² at time t=2.0 s.

b)Determine the angular displacement of the disk in rad at time t=2.0 s.

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