Question

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

Answer 1

shaft power 0.2034 MW

Step-by-step 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

`P = (1)/(2) \rho AV^3`

`= (1)/(1) \rho \pir^2 V^3`

`= (1)/(2) 1.20* \pi * 625* 12^3 = 2034,720 watt`

P = 2.034 MW

shaft power
`= \eta * P`

`= 0.10 * 2.034`

= 0.2034 MW