We can use some simple numbers to estimate the power production of the Hoover Dam. It has an average hydraulic head height of 160 m, the effective vertical distance that water from its reservoir drops in order to power its turbines. The gravitational potential energy of a liter of water (which has a mass of 1 kg) is therefore:
| With rare exceptions, the entire 500,000 liter per second flow rate of the Colorado River flows through the dam's turbines—not over its spillway (the overflow route that accommodates times of heavy rains and flooding). The efficiency of a hydroelectric turbine can reach 0.80 (or 80%), so an average power production for the dam is approximately:
| Our estimate of a power generating capacity of 630 MW is not far off from the long-term average quoted by the U.S. Department of the Interior of 480 MW. In any case, that is a lot of power!
|