Period · frequency · angular frequency

T = 2π√(l/g), g = 9.81 m/s². The pendulum period depends neither on the mass nor (for small swings) on the amplitude. Relations: f = 1/T, ω = 2πf.
The period of harmonic oscillations. For a simple pendulum it depends only on the length and the gravitational acceleration:
(it depends neither on the mass nor, for small swings, on the amplitude). For a mass on a spring with spring constant :
From the period the calculator works out the frequency and the angular frequency .
Only on the length l and the acceleration g. It depends neither on the mass nor (for small swings) on the amplitude — which is why the pendulum was the basis of clocks.
A heavier mass lengthens the period (it oscillates slower), a stiffer spring (larger k) shortens it (it oscillates faster), because T = 2π√(m/k).
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