The frictional moment Mƒ acting on a rotating turbine disk and its shaft is given by Mƒ = k ω2 where ω is the angular velocity of the turbine. If the source of power is cut off while the turbine is running with an angular velocity ω0, determine the time t for the speed of the turbine to drop to one-half of its initial value. The moment of inertia of the turbine disk and shaft is I.
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