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Wind Power Calculator

Show theoretical wind power and an adjusted scenario using entered air density, Cp, and efficiency.

Published

Enter values below

Fill in the highlighted fields to see your result.

kg/m³
m
m/s
%

A transparent worksheet using measured values and explicit user-entered scenario factors.

Results update as you type.

Arithmetic scenario only. Verify measurements, product data, and source applicability for your use.

Worked example

airDensity: 1.225 · rotorDiameter: 4 · windSpeed: 8 · powerCoefficient: 0.35 · efficiency: 90 · factorBasis: Entered air density, Cp, and efficiency scenario values · provenance: Entered standard sea-level density and user-supplied coefficients · uncertainty: Entered scenario range only

Result: 1.24 kW

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Wind Power Calculator

Show theoretical wind power and an adjusted scenario using entered air density, Cp, and efficiency.

Inputs and method

Swept area = π × (diameter/2)². Theoretical power = ½ × density × area × wind speed³. Adjusted power multiplies by entered Cp and efficiency. Wind-speed observations can be cross-checked with weather arithmetic such as the wind chill calculator.

All empirical factors, rates, percentages, clearances, product yields, and model values shown as inputs are scenario values supplied by you. Their source or measurement basis appears beside the inputs and result. Units remain visible, calculations use unrounded values, and rounding occurs only for display or a whole-package ceiling.

Interpreting the result

This does not estimate annual energy, siting suitability, rated output, or performance. Compare with a manufacturer power curve and rating. For a renewable-generation comparison, the solar panel energy scenario calculator models annual photovoltaic energy from user-entered specific yield.

Treat scenario ranges as sensitivity ranges, not confidence intervals. Check the factor’s version, geography, population or product, system boundary, and date before using the result. A numerical result does not establish code compliance, certification, safety, forecast accuracy, or model validity.

Validation and rounding

Blank required factors, invalid numbers, prohibited negatives, impossible relationships, and unsupported modes trigger a validation message. Results are rounded as stated; package quantities round up only after waste is applied.

Worked example

For density 1.225 kg/m³, 4 m diameter, and 8 m/s, area is 12.57 m² and theoretical power is 3.94 kW, about 5.3 mechanical horsepower (see the watts to mechanical horsepower calculator). Cp 0.35 and 90% efficiency give 1.24 kW; zero wind, Cp, or efficiency gives zero adjusted power.

Frequently asked question

Is this a turbine energy forecast? No. It is instantaneous ideal-power arithmetic adjusted by entered Cp and efficiency; use a power curve for rating work.

Sources

  • U.S. DOE, “How Do Wind Turbines Work?” — current web edition; aerodynamic-power overview, accessed 2026-07-09. Route-specific boundary: context and terminology only; it does not supply an entered coefficient, uncertainty, recommendation, or approval.
  • National Weather Service, “Density Altitude” — PDF edition; air-density variables and equations, accessed 2026-07-09. Route-specific boundary: context and terminology only; it does not supply an entered coefficient, uncertainty, recommendation, or approval.
  • FAA, “Pilot’s Handbook of Aeronautical Knowledge” — current handbook edition; Chapter 12 atmospheric-properties passages, accessed 2026-07-09. Route-specific boundary: context and terminology only; it does not supply an entered coefficient, uncertainty, recommendation, or approval.

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Frequently asked questions

What formulas does the wind power calculator use?
Swept area is pi times half the rotor diameter squared. Theoretical power is half times air density times area times wind speed cubed, and adjusted power multiplies that by the entered power coefficient Cp and efficiency.
What does the worked example show?
With density 1.225 kg/m3, a 4 m diameter, and 8 m/s, the area is 12.57 m2 and theoretical power is 3.94 kW. A Cp of 0.35 and 90% efficiency give 1.24 kW, and zero wind, Cp, or efficiency gives zero adjusted power.
What does this calculator not estimate?
It does not estimate annual energy, siting suitability, rated output, or performance. It shows instantaneous ideal-power arithmetic adjusted by entered Cp and efficiency; compare with a manufacturer power curve and rating for rating work.

Sources

  • DOE-WIND-TURBINES

    primary · Aug 12, 2026

    Supports: U.S. DOE's wind-energy overview explains that wind power is proportional to air density, swept area, and the cube of wind speed, backing the calculator's theoretical power formula and its note that no turbine can capture all kinetic energy of the wind.

  • NWS-DENSITY-ALTITUDE

    primary · Aug 12, 2026

    Supports: The National Weather Service density-altitude worksheet provides the air-density variables and equations behind the page's density input context (the worked example uses 1.225 kg/m³).

  • FAA-PHAK-ATMOSPHERE

    primary · Aug 12, 2026

    Supports: FAA Pilot's Handbook of Aeronautical Knowledge Chapter 12 covers atmospheric properties and standard air density, backing the page's framing of air density as an entered, scenario-dependent input.

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