Wind Turbine Power Calculator
Estimate wind turbine power from wind speed, rotor area, and efficiency.
Calculator
Results
Power Output:
0.00 W
Data Source and Methodology
All calculations are based on standard wind power formulas as provided by authoritative sources in the field of wind engineering.
The Formula Explained
The power output formula is:
P = 0.5 × ρ × A × V³ × Cp × Ng × Nb
Glossary of Terms
- Air Density (ρ): The mass per unit volume of air, typically in kg/m³.
- Swept Area (A): The area covered by the wind turbine blades, in square meters.
- Wind Speed (V): The speed of wind passing through the blades, in meters per second.
- Power Coefficient (Cp): Efficiency factor of the turbine.
- Generator Efficiency (Ng): Efficiency of converting mechanical power to electrical power.
- Gearbox Bearing Efficiency (Nb): Efficiency of the mechanical components involved.
How It Works: A Step-by-Step Example
Imagine a turbine with an air density of 1.225 kg/m³, swept area of 50 m², and wind speed of 10 m/s. Using the formula, the power output is calculated as follows...
Frequently Asked Questions (FAQ)
What is the power output formula for wind turbines?
The formula for power output is P = 0.5 × ρ × A × V³ × Cp × Ng × Nb.
Why is wind speed cubed in the formula?
The power available in the wind is proportional to the cube of the wind speed, making speed a critical factor in the power output calculation.
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
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Formula (extracted text)
The power output formula is: P = 0.5 × ρ × A × V³ × Cp × Ng × Nb
Variables and units
- No variables provided in audit spec.
Sources (authoritative):
- NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures - FTC — Consumer advice — consumer.ftc.gov · Accessed 2026-01-19
https://consumer.ftc.gov/
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.