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Find the power production (in MW) of a 25 m radius wind turbine if the average wind speed is 12 m/s and the efficiency of this turbine in converting kinetic energy of air to mechanical work is 10%? The density of air is 1.20 kg/m^3

Respuesta :

Answer:

shaft power 0.2034 MW

Explanation:

given details

radius of turbine = 25 m

average wind velocity = 12 m/s

density of air = 1.20 kg/m^2

Total power is calculated as

[tex]P = \frac{1}{2} \rho AV^3[/tex]

  [tex]= \frac{1}{1} \rho \pir^2 V^3[/tex]

  [tex]= \frac{1}{2} 1.20\times \pi \times 625\times 12^3 = 2034,720 watt[/tex]

P = 2.034 MW

shaft power [tex] = \eta \times P[/tex]

                    [tex]= 0.10 \times 2.034[/tex]

                    = 0.2034 MW

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