Estimate the coefficient of performance 
for a 4.0 MW-110 wind turbine generator. Turbine information: Rotor diameter (D) = 110 m, rated name plate capacity 4.0 MW, rated wind speed = 14 m/s. Use standard atmospheric conditions (sea level and 15° C) for your calculations.
What will be an ideal response?
Equation for instantaneous power is 
Rated power is the instantaneous power output at rated wind speed so PI = 4.0 MW or 4,000,000 Watts and v = 14 m/s. Air density (?) at standard atmospheric conditions is 
.
Rearranging the power equation for the rotor coefficient of performance yields;
. Then;
or 25% efficient at rated wind speed.
Is this a realistic value? Remember the maximum CP = 59% so this is a realistic value. If it came out to 70%, then there would be a question on its validity. This is a good bench mark exercise with any wind turbine brochure data to determine if the marketing hype matches the fundamentals of physics.
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