Rigid Body Dynamics
Gyroscope Precession
Explore torque-induced precession and nutation of a spinning flywheel. Observe how spin angular momentum L = Iω and gravitational torque τ = r × Fg force the precession vector Ωp = mgr/Iω to sweep horizontally.
Spin Speed ω_s
300 rad/s
Precession Speed Ω_p
0.784 rad/s
Torque τ
1.176 N·m
Angular Momentum L
1.500 J·s
Gyroscope Parameters
Visual Overlays
Controls
Gyroscope Precession Equations
Angular Momentum: L = I · ω_s
Torque from Gravity: τ = r · m · g · sin θ
Precession Angular Velocity: Ω_p = τ / (L · sin θ) = m · g · r / (I · ω_s)
Torque from Gravity: τ = r · m · g · sin θ
Precession Angular Velocity: Ω_p = τ / (L · sin θ) = m · g · r / (I · ω_s)
Developer Reference
Core Algorithm & Standalone Script
// Gyroscope precession torque dynamics
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
// Omega_p = (m * g * r) / (I * omega_s)