What is the approximate average power output of a well-designed modern turbine in Des Moines, Iowa with a 10 m2 swept area and 50 m hub height
The approximate average power output is mathematically given as
P=1097.6w
What is the approximate average power output?
Question Parameters:
Iowa with a 10 m2 swept area and 50 m hub height
Assume 80% of the Betz limit, 80% conversion efficiency, and air density of 1.0 kg/m3. Wind speed is 7 m/s2
Generally, the equation for the average output power is mathematically given as
[tex]P=0.5 \phi BAu^3*n\\[/tex]
Where
B= Benz coefficient
n=0.8
Therefore
P=0.5*1*0.8*10*7^3*0.8
P=1097.6w
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Complete Question
What is the approximate average power output of a well-designed modern turbine in Des Moines, Iowa with a 10 m2 swept area and 50 m hub height? Assume 80% of the Betz limit, 80% conversion efficiency, and air density of 1.0 kg/m3. Wind speed is 7 m/s2
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