The power equation
P = ½ × ρ × A × v³ × Cp. Air density ρ ≈ 1.225 kg/m³, A is swept area (π r²), v is wind speed, Cp is the power coefficient (Betz limit: 0.593; real turbines: 0.35–0.48).
Why doubling matters so much
Double the blade length → 4× the power. Double the wind speed → 8× the power. That's why turbines are getting taller — winds are stronger and steadier at 150 m+.
Frequently asked questions
- What wind speed do turbines need?
- They start generating at ~3 m/s, hit rated power at 12–15 m/s, and cut out at 25 m/s to avoid damage.
wind energy renewables physics engineering