The frictional moment acting on a rotating turbine disk and, Other Subject

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The frictional moment acting on a rotating turbine disk and

The frictional moment acting on a rotating turbine disk and its shaft is given by M_f = kω² where ωis the angular velocity of the turbine and the constant k is 0.038 kg·m². If the source of power is cut off while the turbine is running with an angular velocity ω₀ = 39 rad/s, determine the time t for the speed of the turbine to drop to 0.47ω₀. The moment of inertia of the turbine disk and shaft is I = 25 kg·m².

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