Pendulum with Large Amplitude (30°, 1 m Length)
At a 30° amplitude, the small-angle approximation slightly underestimates the true period due to non-linear effects.
How to use this tool
- Enter pendulum length l, gravity g and amplitude θ in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your period (small-angle approx.) and the full breakdown beneath it.
At angles above ~15°, the simple pendulum formula begins to deviate from reality — this preset demonstrates when the approximation starts to break down.
Frequently asked questions
- What is the period of a 1-metre pendulum on Earth?
- Approximately 2.006 seconds, which is why 1-metre pendulums were historically used in grandfather clocks (half-period ≈ 1 s per swing).
- Does mass affect the period?
- No — the small-angle period T = 2π√(L/g) is entirely independent of mass.