How Does Bertz Law Calculate Wind Turbine Power?

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The discussion focuses on calculating wind turbine power using Bertz Law. The density of air is noted as 1.2 kg/m^3, and a wind speed of 10 m/s is used for calculations. The total wind power is calculated to be 600W, but there is confusion regarding the variable 'a' in the formula for maximum extractable power. The maximum extractable power is identified as 59%, and the participant seeks clarification on how to proceed with part B of the homework. The conversation highlights the need for understanding the parameters involved in wind power calculations.
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Homework Statement



The density of air under normal conditions is about 1.2 kg/m^3. For a wind speed of 10 m/s find

a) the actual power carried by the wind

b) the maximum possible power (Bert'z limit) extractable by a wind turbine with a blade area of 10 m^2 and

c) the actual power extracted by a wind turbine with a blade area of 10 m^2 and a power coefficient of 0.46


Homework Equations



Maximum extractable wind power = 2a(1-a)^2pv^3

The maximum extractable power is 59%

Total wind power= 1/2pv^3


The Attempt at a Solution



A) total wind= 1/2 (1.2 kg/m^3)(10m/s)^3
= 600W

B) I would use the formula 2a(1-a)^2pv^3

but how do I know what a is?

I'm not sure if I did part a right and am confused on part b
 
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Can someone please help me with part B?
 

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