A pipeline 1225 m long supplies water to 3 single jet Pelton wheels. The head above the nozzle is 365 m. The head lost due to friction in the pipeline is 15 m. The value of friction factor 4f for the...

A pipeline 1225 m long supplies water to 3 single jet Pelton wheels. The head above the nozzle is 365 m. The head lost due to friction in the pipeline is 15 m. The value of friction factor 4f for the pipeline is 0.02 and the velocity coefficient for the nozzle is 0.985. The specific speed of each turbine is 17 and the operating speed of each turbine is 565 rpm. If the turbine efficiency based on the head at the nozzle is 0.86, then determine (i) the total power developed, (ii) diameter of each nozzle, (iii) diameter of the pipeline and (iv) volume of water used per second.