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Homework Statement
Consider a wind turbine farm that uses turbines with a blade span diameter of 80 m at a site subjected to wind speeds over the range of 4 to 32 m/s. Taking the overall efficiency of each turbine to be 25% and the air density to be 1.112 kg/m3, determine the electric power generated by a single turbine.
Homework Equations
I know that, for an average wind speed, the equation I need is: W = m(V2/2)*η (the bold variables are per unit time), but I'm not sure exactly how to modify this equation for a range of velocities. I at first thought that I could take the integral of the equation with respect to velocity, but then I end up with the wrong units.
W = m(V2/2)*η = ρVA(V2/2)*η = ρπr2(V3/2)*η = ρπ(d/2)2(V3/2)*η = ρπ(d2/4)(V3/2)*η = ρπ(d2/8)V3*η
The Attempt at a Solution
Since I'm not sure what equation to use, I can't attempt to find the solution.If someone could help me, I would really appreciate it. Thanks.