Hydroelectric plants in the mountains bring water from a reservoir down to a turbine through enclosed tubes. In such plants, the 100 cm diameter intake tube (Point 2) in the dam is 50m below the water surface (Point 1) of the reservoir. The water drops 200 m through the tube before flowing into the turbine through a 50 cm diameter nozzle (Point 3). (a) What is the speed of the water as it enters the turbine at Point 3 in the illustration? (b) Calculate the flow rate of the water at Point 3 (c) Calculate the pressure P at point 1 (water surface), point 2 (intake) and Point 3 (nozzle), respectively

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