Question

What size of wind turbine blade would you need for 16.7 kW wind turbine with wind speeds of 32mph? Report your answer in feet. Assume 45% efficiency.

Answer 1

The formula for wind turbine power is,

Power(W)= (π/2)*(radius of blade)^2*(velocity of air)^3*(air density)*(efficiency factor)

considering air density to be 1.25 kg/m^3

32mph=14.3mps

putting the respective values

16700=(π/2)*(radius of blade)^2*(14.3)^2*(1.25)*(.45)

16700=1.571*(radius of blade)^2*204.49*(1.25)*(.45)

16700=(radius of blade)^2*180.70

16700/180.70=(radius of blade)^2

radius of blade= 9.61 m

Radius of blade should be 9.61 m to generate a power of 9.61 kW from the turbine