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

Answer:

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 $P\propto\ v^3$ here P is power and v is velocity of wind

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

So $100\times 1000=k\times 2^3$

k = 12500

Now we have to calculate power at 8 m/sec

So power $P=kv^3=12500\times 8^3=6400\times 10^3W=6400KW$

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