The USEIA reported that in 2011, the average American household consumed 11,280 kWh for the year. On the outskirts of a small city, an energy company has constructed a single, large wind turbine (blade diameter 30 m). A typical average wind speed over any 24-hour period is 11 $\displaystyle \frac{\text{m}}{\text{s}}$. Assuming perfect energy conversion, how many households will that one installation serve? (Air density is 1.25 $\displaystyle \frac{\text{kg}}{\text{m}^3}$
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households