1 point) The USEIA reported that in 2011, the average American household consume

Question

1 point) 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 8 . Om Assuming perfect energy conversion, how many households will that one installation serve? (Air density is 1.25-_0.) one symbol for velocity (lowercase "" with an arrow) ) LY-NG-SA Niel Crews, 2013 175 households (can be a real number, not just an integer)

Explanation / Answer

Power generated by turbine

P = 0.5 x density of air x swept area x velocity^3

= 0.5 x 1.25 kg/m3 x 3.14 x 15 x 15 m2 x 8^3 m3/s3

= 226080 kg-m2/s3

= 226080 W x 1kW/1000W

= 226.080 kW

For 1 year = 8760 hr

= 226.080 x 8760 = 1980460.8 kWh

Number of households = 1980460.8 kWh/11280 kWh

= 175.58

= 176

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