Gyroscope & Precession

A spinning top defies gravity — instead of toppling, it slowly circles. See exactly why, and how spinning faster makes it precess slower.

Gyroscope & PrecessionLive

why a spinning top doesn't fall

Controls

Presets

Spin rate ω (rad/s)

Disk mass (kg)

Disk radius (m)

Pivot→CM distance (m)

Gravity applies a torque, but a fast-spinning disk responds by precessing sideways instead of toppling. Faster spin → slower precession: Ω = mgr / (Iω).

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Data Inspector

Precession rate Ω15.70 rad/s

Precession period0.4 s

Spin inertia I6.25e-4 kg·m²

Governing equation

Ω = \frac{m g r}{I ω} = \frac{0.5 \cdot 9.81 \cdot 0.08}{I \cdot 40} = 15.70 rad/s

Reading this result: Gravity's torque never tips the top; it steers the spin axis in a circle every 0.4 s, the hallmark of gyroscopic precession.

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How it works

Gravity exerts a torque on a tilted spinning disk. Because angular momentum points along the spin axis, that torque changes its direction rather than knocking it over, producing steady precession at rate Ω = mgr/(Iω). Faster spin means larger angular momentum and slower precession. Educational tool.

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Frequently asked questions

Is this gyroscope precession simulator tool really free?▾

Yes. Gyroscope & Precession runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.

Do I need to install anything?▾

No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.

Can I save or share my simulation?▾

Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.

How accurate are the results?▾

The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.