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

Common questions

What is the Simple Pendulum Period formula?
Period of small oscillations. It sits under Dynamics, Mechanical engineering in the EngiRef reference.
What do the symbols in the Simple Pendulum Period formula mean?
In Simple Pendulum Period, T is period in s; L is pendulum length in m; g is gravity in m/s².
When does the Simple Pendulum Period formula apply?
Simple Pendulum Period holds under this condition: Small angle approximation (< 15°).