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New York State University Pelton Turbine Problem

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I’m trying to learn for my Physics class and I’m stuck. Can you help?

In a Pelton power plant, the water level at the high-side of the dam is 80 m above the centerline of the nozzle.  The exit diameter of the nozzle is 80 mm.  The wheel has a diameter of 2 m at the pitch circle.  The buckets can be assumed to deflect the water jet by 90 degrees, when running.  Ignore all losses.

Determine:

The velocity of the jet at nozzle exit

The mass flow rate out of the nozzle

The hydraulic power output of the nozzle

The force applied by the jet on the bucket

The torque applied by the jet to the wheel

The efficiency of the turbine, if it is running at 300 rpm

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