Assume a wind turbine with a hub 50 meters above the ground, a rotor diameter of 50 meters and a wind-conversion efficiency of 25 percent. The turbine operates in an area with an average wind-power density of 500 watts/sq meter at 50 meters altitude. How much electricity (kWh) can the turbine generate per year? Wind densities greater than or equal to 500 watts/sq meter at an altitude of 50 meters are present on 1.300 percent of the land area of the US. If, on average, wind farms contain 8 turbines/sq km, how much electricity (kWh/yr) could be generated from these wind turbines? (The area of
the US is 7,827,989 sq km).
Rotor diameter = 50 m --> rotor radius = 50/2 = 25 m.
The rotor area = 3.14 * (25m)^2 = 1,962.50 m^2
Average power generated is ...
This solution looks at the electricity generated by a wind turbine and the total potential energy that can be generated by wind turbines in the US. It calculates the electricity in kWh generated in one year.