A turbine develops 1.50 MW while running at 120 rpm under a head of 10.0 m. The diameter of the runner is 1.5 m. A 1: 3 scale model of this turbine is tested under a head of 3.0 m. Determine the speed and power developed in the model. Assuming an overall efficiency of 90% for both the model and prototype, calculate the discharge in the model and prototype.
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