f) Assuming the same wind conditions as in (d) - namely an incoming wind velocity of 100 m/s and an outgoing velocity of 70 m/s, estimate the maximum power that can be extracted from a wind turbine whose swept area is 1000 m². Hint: You may assume that the quantity p + ¹ pu + pgh is approxi- mately constant in a smoothly flowing fluid. Here p is the pressure, p is the fluid density, v the speed of the flow, g≈ 10 m/s² is the ac- celeration due to gravity, and h is the height of the fluid. For water p≈ 1000 kg/m³, and the atmospheric pressure of air at sea level is approximately 100000 N/m² = 105 kg/ms². At atmospheric pressure, the density of air is o ≈ 1kg/m³. The power in a column of fluid

f) Assuming the same wind conditions as in (d) - namely an incoming wind velocity of 100 m/s and an outgoing velocity of 70 m/s, estimate the maximum power that can be extracted from a wind turbine whose swept area is 1000 m². Hint: You may assume that the quantity p + ¹ pu + pgh is approxi- mately constant in a smoothly flowing fluid. Here p is the pressure, p is the fluid density, v the speed of the flow, g≈ 10 m/s² is the ac- celeration due to gravity, and h is the height of the fluid. For water p≈ 1000 kg/m³, and the atmospheric pressure of air at sea level is approximately 100000 N/m² = 105 kg/ms². At atmospheric pressure, the density of air is o ≈ 1kg/m³. The power in a column of fluid