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Question: a lawn sprinkler with four channels is held stationary and...

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A lawn sprinkler with four channels is held stationary and, with exits at B blocked, is filled with water through the inlet at C. Now at t-0, the outlets are opened at B, the rotor is released, and the flow q is started at the inlet such that q varies at 0.05t m3/s, with t in seconds. Derive the differential equation for the angular velocity, o, of the rotor if there is no resistance to rotation about the axis of the rotor at C. The areas of each of the channels is A-1500 mm2. Use a stationary (inertial) control volume and the moment-of momentum equation. The moment of inertia, Izzfy pr2dv- J pr2A dr, of rotor+water is 10 kg m2. pwater 1000 kg/m2. Hint: Since there is no resistance to rotation there is no torque being exerted on or by fluid in the control volume 0 45

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