Calculating your power output is straightforward once you know the Wind Turbine Power formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Wind Turbine Power Calculator.
What is Wind Turbine Power?
The Wind Turbine Power calculation tells you your power output from a few simple inputs. The figure you are solving for here is the power output.
The Wind Turbine Power formula
The core formula is:
Power output = 0.5 × 1.225 × 3.141592653589793 × Blade radius ^ 2 × Wind speed ^ 3 × Power coefficient (Cp)Here is what each input means:
- Blade radius — a value measured in m. Example: 2 m.
- Wind speed — a value measured in m/s. Example: 8 m/s.
- Power coefficient (Cp) — a number. Example: 0.4.
How to calculate it step by step
- Write down the blade radius (for example, 2 m).
- Write down the wind speed (for example, 8 m/s).
- Write down the power coefficient (cp) (for example, 0.4).
- Apply the formula above to get your power output.
- Double-check the result with the Wind Turbine Power Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Blade radius | 2 m |
| Wind speed | 8 m/s |
| Power coefficient (Cp) | 0.4 |
| Power output | 1,576.3 |
With blade radius of 2 m, wind speed of 8 m/s and power coefficient (cp) of 0.4, the power output works out to 1,576.3.
Example 2
With blade radius of 4 m, wind speed of 8 m/s and power coefficient (cp) of 0.4, the power output works out to 6,305.3.
| Result | Value |
|---|---|
| Power output | 6,305.3 |
Example 3
With blade radius of 1 m, wind speed of 8 m/s and power coefficient (cp) of 0.4, the power output works out to 394.1.
| Result | Value |
|---|---|
| Power output | 394.1 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Wind Turbine Power Calculator does it instantly, for free, with the formula and a worked example built in.
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