Physics

A wind turbine has blades that sweep an area of 2000m2. It converts the power available in the
wind to electrical power with an efficiency of 50%.
What is the electrical power generated if the wind speed is 10ms–1? (The density of air is
1.3 kg m–3.)

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asked by Me
  1. Area swept by turbine = 2000 m²
    Wind speed, v = 10 m/s
    mass of air through turbine, m
    = Volume of air * density
    = 2000 m² * 10 m/s * 1.3 kg /m³
    = 26000 kg/s
    Raw power
    = kinetic energy available /s
    = (1/2)mv²
    = (1/2)*26000 kg/s * (10 m/s)^2 J/s
    = 1.3 MW

    With an efficiency of 50%,
    net power=1.3 MW * 0.5 = 0.65 MW

    Recommended reading:
    http://www.ftexploring.com/energy/wind-enrgy.html

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    posted by MathMate

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