1.A river flows towards a lake with a velocity of 3 m/s and rate of 500 m3/s at a location of 90 m above the lake surface. Determine the total power generation potential of the river at that location.
2.A fireboat draws seawater with density 1030 kg/m3 through a 20 cm diameter inlet pipe at a rate of 0.1 m3/s. It discharges through a nozzle of 5 cm diameter that is 4 m above sea level. If the head loss is 3m and the pump is 70 % efficient, what pump power is required and what is the discharge velocity.
3.A hydroelectric plant passes 8 million gal/min across a head of 600 ft. If the turbine is 80 % efficient and head loss in the system is 200 feet. What is the power output?