Pendulum Period Calculator
Simple Harmonic Motion
Calculate the period, frequency, and oscillation properties of a simple pendulum using the formula T = 2Οβ(L/g).
Pendulum Parameters
m
Length from pivot point to center of mass
m/sΒ²
Default: 9.81 m/sΒ² (Earth)
Pendulum Formula
T = 2Οβ(L/g)
where: T = period, L = length, g = gravity
Note
This formula assumes small angles (< 15Β°). For large angles, the period increases slightly.
Example Pendulums
Clock Pendulum
~1 m β 2 seconds
Playground Swing
~2.5 m β 3.2 seconds
Foucault Pendulum
~67 m β 16.4 seconds
About Pendulum Motion
A simple pendulum exhibits simple harmonic motion. The period depends only on length and gravity, not on mass or amplitude (for small angles).
- Period independent of mass
- Period proportional to βL
- Period inversely proportional to βg
Applications
- Timekeeping (clocks)
- Measuring gravity
- Seismometers
- Metronomes
- Physics demonstrations
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