Client-side physics calculator

Resonant Frequency Calculator for Springs, Pendulums, LC Circuits, and Strings

Estimate natural frequency for four ideal oscillator models. The equations are real; the result still depends on whether the model fits the system.

Calculate natural frequency

Result

Spring and mass

Frequency: -
Period: -
Angular frequency: -

Formula boundaries

These are ideal equations. A real oscillator may include damping, nonlinear stiffness, uncertain boundary conditions, changing load, and poor coupling between the driver and the system. That is why a clean natural-frequency estimate is useful, but not the same thing as proving an earthquake-machine story.

Calculator FAQ

What is resonant frequency?

It is a frequency at which a system can respond strongly because the drive timing matches one of the system's natural modes.

Which formulas does this calculator use?

It uses f = 1/(2 pi) sqrt(k/m) for spring-mass systems, f = 1/(2 pi) sqrt(g/L) for small-angle pendulums, f = 1/(2 pi sqrt(LC)) for LC circuits, and f_n = n/(2L) sqrt(T/mu) for string modes.

Can this calculate Tesla earthquake-machine effects?

No. A real structure needs mode shapes, damping, coupling, drive amplitude, boundary conditions, and safety analysis. This page is an educational calculator, not a demolition or structural tool.