Ummm… 10 knots * 200 = 2000 knots. I don’t think so lol.
First of all, kinetic energy scales with the square of an objects velocity.
Second, since we’re talking about a continuous stream of fluid instead of a single object, increasing the air speed not only increases the enegy per unit mass of air, but also the number of units of air per second that pass through the turbine. Which means that the amount of energy extracted scales by the cube of the wind speed.
First of all, kinetic energy scales with the square of an objects velocity.
Second, since we’re talking about a continuous stream of fluid instead of a single object, increasing the air speed not only increases the enegy per unit mass of air, but also the number of units of air per second that pass through the turbine. Which means that the amount of energy extracted scales by the cube of the wind speed.
https://kpenergy.in/blog/calculating-power-output-of-wind-turbines
So, more like going from 10 knots to 60.