ToolJoltTools

Wind Turbine Power Calculator

Power in the wind and what a rotor can really capture (Betz).

0
Power in the wind (kW)
0
Captured power (kW)

V CUBED: a site with 25% more wind has DOUBLE the energy. Betz proved no rotor can take more than 59.3% — extracting everything would stop the air dead, and stopped air can't leave.

Formula

P = ½·ρ·AĀ·V³·C_p; Betz cap: C_p ≤ 16/27
References: Betz (1919); wind energy handbooks

Wind Turbine Power Calculator is a free wind turbine power for mechanical and machine-design engineers — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.

About Wind Turbine Power Calculator

Power in the wind and what a rotor can really capture (Betz). The calculation implements P = ½·ρ·AĀ·V³·C_p; Betz cap: C_p ≤ 16/27 (Betz (1919); wind energy handbooks). V CUBED: a site with 25% more wind has DOUBLE the energy. Betz proved no rotor can take more than 59.3% — extracting everything would stop the air dead, and stopped air can't leave.

How to use Wind Turbine Power Calculator

  1. 1Enter Rotor diameter in m.
  2. 2Enter Wind speed in m/s.
  3. 3Enter Power coefficient C_p (Betz max 0.593 Ā· good HAWT 0.40–0.48 Ā· small turbines 0.25–0.35).
  4. 4Read Power in the wind, Captured power instantly — no submit button needed.
  5. 5Need US units? Flip the SI/Imperial toggle and every field converts.

Why use Wind Turbine Power Calculator?

  • āœ“Implements the standard formula — P = ½·ρ·AĀ·V³·C_p; Betz cap: C_p ≤ 16/27
  • āœ“Reference cited on-page: Betz (1919); wind energy handbooks
  • āœ“One-click SI ⇄ Imperial toggle — values convert in place, physics stays in SI
  • āœ“Live worked example: the substitution recomputes from your numbers
  • āœ“Runs entirely in your browser — nothing uploaded, free forever

Frequently asked questions

What formula does the Wind Turbine Power Calculator use?+

It computes P = ½·ρ·AĀ·V³·C_p; Betz cap: C_p ≤ 16/27, per Betz (1919); wind energy handbooks. The formula is displayed under the result along with a worked example substituted with your own inputs.

What should I keep in mind when using this calculator?+

V CUBED: a site with 25% more wind has DOUBLE the energy. Betz proved no rotor can take more than 59.3% — extracting everything would stop the air dead, and stopped air can't leave.

Is this suitable for machine design coursework?+

Yes — these are the exact Shigley/Machinery's-Handbook formulas, with the substitution shown step by step, so you can follow the worked example into your own calculation sheet.

Is the Wind Turbine Power Calculator free to use?+

Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.

Related tools

Related Engineering tools

Sponsored