Simple harmonic motion

ω = √(k/m), T, f, and optional x = A cos(ωt).

Calculator

Model / formula

ω = √(k/m), T = 2π/ω

k (N/m)

m (kg)

A (m), optional

t (s), optional

Result

ω = 20.0000 rad/s T = 0.3142 s f = 3.1831 Hz x(t) = A cos(ωt) → x = 0.0540 m (φ = 0)

φ = 0 assumed for the displayed x(t).

Educational use only. Check signs, units, and modeling assumptions (e.g. flat Earth g, no air resistance unless stated).