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Wind Turbine Power — result sheet
Calculate idealized kinetic wind power and estimated turbine power from entered air density, swept area, wind speed, and power coefficient.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Kinetic wind power P_kinetic = 0.5 x rho x A x v^3; estimated turbine power P_estimated = P_kinetic x Cp/100, with Cp bounded to 59.3 percent.
This idealized entered-condition model calculates kinetic power crossing a swept area and applies an entered power coefficient to estimate captured power. It is arithmetic only, not wind forecasting, siting, structural design, or guaranteed generation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Air density — kg/m^3; Finite entered air density for the stated condition.; minimum 0.1; maximum 2
- Swept area — m^2; Finite nonnegative rotor swept area.; minimum 0; maximum 1000000
- Wind speed — m/s; Finite nonnegative entered wind speed.; minimum 0; maximum 100
- Power coefficient — %; Enter Cp as a percent; the contract caps it at 59.3 percent.; minimum 0; maximum 59.3
Worked example
| Input | Value |
|---|---|
| Air density | 1.225 |
| Swept area | 100 |
| Wind speed | 10 |
| Power coefficient | 40 |
Kinetic wind power 61,250 W (61.25 kW); estimated turbine power 24,500 W (24.5 kW).
Assumptions and limits
- Air density, swept area, and wind speed are finite entered SI values for one stated condition, with density bounded from 0.1 to 2 kg/m^3.
- The power coefficient is a dimensionless entered percentage from 0 to 59.3, using the stated Betz-ceiling contract bound; rotor, generator, drivetrain, and control behavior are not separately modeled.
- The outputs describe an idealized entered-condition arithmetic estimate only and do not forecast wind, choose a site, design a structure, or guarantee electrical generation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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