Wind power has a cubic dependency on wind speed. how much power will a wind-powered turbine generate for a wind speed of 8 m/s, if it generates 100 kw when the wind speed is 2m/s ?

Power generated by wind turbine at 8 m/sec will be 6400 KW

Explanation:

We have given at 2 m/sec power generated by turbine = 100 KW

We know that foe a wind turbine power here P is power and v is velocity of wind

So , here k is constant

So

k = 12500

Now we have to calculate power at 8 m/sec

So power

So power generated by wind turbine at 8 m/sec will be 6400 KW