EngiRef / Mechanical Engineering Formula

Simple Pendulum Period

Simple Pendulum Period: Period of small oscillations. A Dynamics formula in mechanical engineering. Variables T, L and g, each with SI and imperial units.

Dynamics

Specification

Name
Simple Pendulum Period
Discipline
mechanical
Category
Dynamics
LaTeX
T = 2 \pi \sqrt{\frac{L}{g}}
Description
Period of small oscillations
Conditions
Small angle approximation (< 15°)
Can solve for
T, L
Tags
pendulum, period, oscillation, shm

Variables

Variables for Simple Pendulum Period
SymbolNameUnitSi UnitImperial Unit
TPeriodss
LPendulum Lengthmmft
gGravitym/s²m/s²ft/s²