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For K-12 Students · Wind Turbine Power

Wind Turbine Power for a district heating loop

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a district heating loop live below — adjust the inputs and watch it respond, right in your browser.

Wind Turbine PowerLive

the Betz limit

Controls

Presets

Rotor diameter (m)

Wind speed (m/s)

Power coefficient Cp

Wind power scales with the cube of wind speed and the square of rotor diameter — which is why turbines keep getting bigger and why a windy site is worth so much more. No turbine can extract more than 59.3% of the wind's energy (the Betz limit); real machines reach about 45%. Below cut-in and above cut-out speeds they produce nothing.

▶ Run in Python

Data Inspector

Power output1.64 MW

Rated power2.83 MW

Swept area6362 m²

% of Betz limit71%

Governing equation

P = \frac{1}{2} ρ A v^{3} C_{p} = \frac{1}{2} (1.225) (6362) (10)^{3} (0.42) = 1.64 MW

Reading this result: In the ramp region power climbs with the cube of wind speed, so even a small gust adds a large jump in output.

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Wind Turbine Power for a district heating loop" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.