Question

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 ?

Answer 1

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

Step-by-step explanation:

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

We know that foe a wind turbine power
`P\propto\ v^3` here P is power and v is velocity of wind

So
`P=kv^3`, here k is constant

So
`100* 1000=k* 2^3`

k = 12500

Now we have to calculate power at 8 m/sec

So power
`P=kv^3=12500* 8^3=6400* 10^3W=6400KW`

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