Answer:5,616,964.45 Watts.
Explanation:
To calculate the power of the wind using the given equation:
Power = 0.5 x Swept Area x Air Density x Velocity^3
We can substitute the given values:
Swept Area = 12470 m^2
Air Density = 1.23 kg/m^3
Velocity = 9 m/s
Power = 0.5 x 12470 m^2 x 1.23 kg/m^3 x (9 m/s)^3
Now, let's calculate:
Power = 0.5 x 12470 x 1.23 x (9^3)
First, calculate the velocity cubed:
Velocity^3 = 9^3 = 729
Power = 0.5 x 12470 x 1.23 x 729
Now, multiply all the values together:
Power ≈ 0.5 x 12470 x 1.23 x 729
Power ≈ 0.5 x 12470 x 900.27
Power ≈ 6235 x 900.27
Power ≈ 5,616,964.45 Watts
So, the power of the wind is approximately 5,616,964.45 Watts.
