Simple Harmonic Motion Calculator (Spring And Pendulum)

Simple Harmonic Motion Calculator (Spring And Pendulum): a planned Super Calculator tool. Stub page while the tool and its worked example are prepared.

Simple Harmonic Motion Calculator (Spring And Pendulum) is a planned calculator in the science section of Super Calculator, covering physics: waves and oscillations.

What this calculator will compute

Inputs: mass, spring constant, pendulum length, amplitude, damping coefficient and gravitational acceleration.

Outputs: period, frequency, angular frequency, maximum velocity and acceleration, energy, damping ratio and amplitude decay.

Formula, recorded as scope and not yet verified against a primary source: Mass on a spring: omega = sqrt(k/m), T = 2 pi sqrt(m/k). Simple pendulum: T = 2 pi sqrt(L/g), independent of mass and valid only for small amplitudes, with the exact period rising by about 1% at 23 degrees. Damped systems decay as e^(-bt/2m).

Status

This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.

The stub carries noindex, nofollow and is excluded from the sitemap.