Wind Turbine Power
Calculator
Results
- Swept area (m²)
- 78.539816
- Available wind power (W)
- 24,630.086404
- Power at the Betz limit (W)
- 14,605.641237
- Electrical power output (W)
- 8,620.530241
- Daily energy (kWh)
- 51.723181
Energy results
| Swept area (m²) | 78.539816 |
| Available wind power (W) | 24,630.086404 |
| Power at the Betz limit (W) | 14,605.641237 |
| Electrical power output (W) | 8,620.530241 |
| Daily energy (kWh) | 51.723181 |
formula-map diagram
- Swept area (m²)
- 78.539816
- Available wind power (W)
- 24,630.086404
- Power at the Betz limit (W)
- 14,605.641237
- Electrical power output (W)
- 8,620.530241
- Daily energy (kWh)
- 51.723181
Energy relationship
Formula
P = ½ × ρ × A × v³ × Cp, with ρ = 1.225 kg/m³ (ISA sea level, 15 °C)= 78.539816339745
Note
This is a simplified model: it applies the standard equation to the numbers you entered and ignores real-world losses, weather variation, tariff structures and equipment tolerances. Wind power assumes air density 1.225 kg/m³ at ISA sea level and the power coefficient you enter (Betz limit 0.593). Verify with measured data or a professional energy audit before making purchasing decisions.
More in Energy and environment
See all →Frequently asked questions
Why does wind speed matter so much more than turbine size?+
Power available in wind scales with the cube of wind speed, so doubling wind speed increases available power eightfold, while power only scales linearly with the swept rotor area. This is why site selection and wind speed are often more important than choosing a slightly larger turbine.
What's the basic power formula being used?+
Power equals 0.5 × air density × swept area × wind speed cubed × efficiency (power coefficient), typically expressed in watts. The swept area is calculated from the rotor's blade length, since it's the circular area the blades pass through.
Why can't a turbine capture 100% of the wind's energy?+
The Betz limit, a physical law, caps any wind turbine at capturing a maximum of about 59.3% of the kinetic energy in wind, because slowing the wind completely would block airflow entirely. Real turbines achieve somewhat less than this theoretical maximum, typically 35-45%, due to mechanical and aerodynamic losses.
How does air density affect the output?+
Denser air carries more kinetic energy at the same speed, so power output is slightly higher at sea level and in cold conditions than at high altitude or in hot air, since air density decreases with both altitude and temperature.
Why is my turbine's actual output lower than the calculated peak power?+
The calculation typically gives peak power at a specific wind speed, but real-world output varies constantly with fluctuating wind and includes cut-in speeds below which the turbine doesn't generate at all, plus cut-out speeds above which it shuts down for safety. Average output over time is best estimated with a capacity factor, often 25-40% of rated capacity for wind.