A clockwise variable torque is applied to a flywheel at time (t=0) causing its clockwise angular acceleration

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A clockwise variable torque is applied to a flywheel at time \(t=0\) causing its clockwise angular acceleration to decrease linearly with angular displacement \(\theta\) during 20 revolutions of the wheel as shown. If the clockwise speed of the flywheel was \(300 \mathrm{rev} / \mathrm{min}\) at \(t=0\), determine its speed \(N\) after turning the 20 revolutions. (Suggestion: Use units of revolutions instead of radians.)

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