Bertz law math problem

  • #1

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
 

Answers and Replies

  • #2
Can someone please help me with part B?
 

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