Angular Displacement Calculator
Calculate angular velocity, torque, centripetal force, simple pendulum period, moment of inertia, and harmonic frequencies for angular displacement.
Input Rotational Parameters
Enter angular velocity, radius, or mass.
Calculated Tangential Speed v
Simple Pendulum Formula
For small oscillation angles (θ < 15°), the oscillation period of a pendulum depends strictly on length and local gravity: T = 2π √(L / g), independent of bob mass.
Calculation Methodology & Details
Formula
Applies rotational dynamics, angular momentum conservation, flywheel energy density, and wave frequency equations.
Important Disclaimer
Calculations assume small-angle approximations for pendulums and rigid body rotation without non-linear structural resonance damping unless specified.
How to Calculate Step-by-Step
Follow these steps to complete the calculation:
Step 1
Enter rotation speed in RPM or angular frequency ω (rad/s).
Step 2
Input mass moment of inertia I (kg·m²), radius r (meters), or pendulum length L.
Step 3
View centripetal force (N), rotational kinetic energy (J), wave frequency (Hz), or oscillation period (seconds).
Detailed Insights & Expert Guide
ℹ️ About this Calculation
The Angular Displacement Calculator calculates angular displacement, rotational speed, torque, mass moment of inertia, simple pendulum oscillations, centrifuge RCF G-force, and natural resonance frequencies.
Variable Glossary
Angular Velocity (ω)
Rate of rotational angle change over time measured in radians per second (rad/s).
Moment of Inertia (I)
Rotational mass analog measuring resistance to angular acceleration (kg·m²).