A pulley rotating in the counterclockwise direction is, Physics

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A pulley rotating in the counterclockwise direction is

A pulley rotating in the counterclockwise direction is attached toa mass suspended from a string. The mass causes the pulley'sangular velocity to decrease with a constant angular accelerationα = -2.1 rad/s². If the pulley's initialangular velocity is ω = 5.40 rad/s, how long does ittake before the angular velocity of the pulley is equal to -5rad/s?

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