Gyroscopic Precession Calculator
Compute precession rate Ω = τ/(Lω) of a spinning top.
Input Data
Moment Of Inertia Kg M2
kg·m²
Spin Angular Velocity Rad S
rad/s
Mass Kg
kg
Distance M
m
Results
L = Iω.
1kg·m²/s
τ = mgr.
0.490333N·m
Ω = τ/(Iω).
0.4903325rad/s
T = 2π/Ω.
12.814132s
At a glance:Ω = τ/(Iω) with τ = mgr. Complements angular-momentum and torque.
Formula
Ω = τ / (I·ω).
$$L = I\omega, \quad \tau = mgr, \quad \Omega = \frac{\tau}{L} = \frac{mgr}{I\omega}, \quad T = \frac{2\pi}{\Omega}$$How to Use
- Enter I, ω, mass and distance.
- The tool returns precession rate and period.
Case Studies
I=0.01, ω=50, m=0.5, r=0.1
τ=0.49, Ω≈0.98 rad/s.
FAQ
Faster spin?
Precession slows as spin rate increases.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.