Laboratory tests are required to be performed on a 1/10 scale model to find the best design for a hydraulic for a hydraulic turbine. The turbine is required to develop 30,000 kW under a net head of 50 m running at 300 rpm. The head available at the laboratory is 12 m. Determine
i. The corresponding speed,
ii. power, and
iii. discharge
The overall efficiency is 88%.