As shown in the sketch, water flows at 2550 kg/s from a very large reservoir through a penstock (pipe) to a hydro turbine. The water exits the turbine through a 0.5 m diameter pipe. The reservoir surface is 30m above the location where the water exits.
(Hint: Assume steady flow and reservoir area is very large compared to the water exit area). Density of water = 997 kg/m3.
a. Assuming no head loss, find the power produced by the hydro turbine.
b. What will be the power output, if total head loss is 3m?