1. A hydro-electric plant is used to convert the potential energy of the water behind the dam into electricity. The water level behind the dam is 180m higher than the water outlet. [The calculations are easiest if you use only metric units.]
a) To produce 2.45 x 109 W of electricity from the water's potential energy, what mass flow rate of water is required? [Assume all potential energy is converted to electricity.]
b) What is the volumetric flow rate of the water?
c) If the water is discharged through an 11m diameter pipe, what is its velocity?
d) How much kinetic power (energy over time) does the water exiting the dam have?