Question

Power available in the wind increases as the square of the velocity of the wind. True False

Answer 1

The statement is false.

The power (energy per second) in the wind striking a wind turbine with a particular swept area is given by  

Power = 0.5* Swept Area *Air Density *Velocity^3

From the formula, it can be easily seen that power is directly proportional to the third power of velocity of wind, and the above statement states that it is proportional to the square of the velocity, hence the statement is False.

Answer 2

The above answer is false.

The power present in the wind that strikes the wind turbine has a swept area.

Power can be calculated by multiplying 0.5 by Air Density, velocity and swept area and third power of three.

Thus third power of wind velocity is directly proportional to power.

Thence the above statement cannot be true under any circumstances.