A mill in a textile plant uses the belt-and-pulley arrangement shown to transmit power. When t = 0 an electric motor is turning pulley A with an angular velocity of ωA = 5 rad/s. If this pulley is subjected to a constant counterclockwise angular acceleration of αA = 2 rad/s2, determine the angular velocity of pulley B after B turns 6 revolutions. The hub at D is rigidly connected to pulley C and turns with it.

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