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The Angular Acceleration of the Flywheel of a Generator Is α\alpha

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The angular acceleration of the flywheel of a generator is given by
α\alpha (t) = 6bt - 12ct2
Where b and c are constants and α\alpha is in rad/s2 provided t is in seconds. If the initial angular velocity is taken to be ω\omega 0, the angular velocity at time t is given by


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