Pendulum Calculator

Calculate period, frequency, or length of a simple pendulum using T = 2π√(L/g). Includes planet presets.

Enter Parameters

Select what to solve for

Solve For

Pendulum Length (L)

Period (T)

Gravity (g)

Frequency (f)

Angular Freq. (ω)

Small-angle approximation: valid for θ < 15°. For larger amplitudes the true period is slightly longer.

Step-by-Step

Pendulum Formulas

T = 2π√(L/g)
f = 1/T
ω = 2π/T = √(g/L)

T: Period (seconds per swing)
L: Pendulum length (m)
g: Gravitational acceleration (m/s²)
f: Frequency (Hz = swings/s)
ω: Angular frequency (rad/s)

Related Calculators

Planet Gravity (m/s²)

Mercury: 3.70 Venus: 8.87
Earth: 9.81     Moon: 1.62
Mars: 3.72      Jupiter: 24.8
Saturn: 10.4    Neptune: 11.2