Gyroscopic Precession Frequency Calculator

Gyroscopic Precession Frequency Calculator computes the precession frequency of a spinning object under gravitational torque, such as a gyroscope or spinning top. Input the mass, distance to the center of mass, moment of inertia, spin angular velocity, select units, and calculate the precession frequency.

How to Use Gyroscopic Precession Frequency Calculator:

1. Enter the mass (m), distance to the center of mass (r), moment of inertia (I), and spin angular velocity (ω) using the keypad or direct input; use “Next” to switch fields.
2. Select appropriate units for mass (kg, g), distance (m, cm, mm), moment of inertia (kg·m², g·cm²), and angular velocity (rad/s, rpm).
3. Click “Calculate” to see step-by-step results for the precession frequency.
4. Use “Share Result” to get shareable text or “Copy Result” to copy to clipboard.

Formula:

Precession Frequency (Ω):

Where: Ω = precession frequency (rad/s), τ = torque (N·m, calculated as m × g × r), I = moment of inertia (kg·m²), ω = spin angular velocity (rad/s), g = 9.81 m/s²

Important Notes:

• Inputs for mass, distance, and moment of inertia must be positive. Spin angular velocity can be positive or negative (indicating spin direction). Invalid inputs (e.g., zero spin angular velocity) will trigger an error.
• The calculator assumes the torque is due to gravity (τ = m × g × r) acting on a spinning top or gyroscope.
• Use the Angular Momentum Calculator to compute moment of inertia if needed.
• Clipboard access requires a secure context (HTTPS). If copying fails, try accessing over HTTPS or copy manually.