EngiRef / Formulas

Simple Pendulum Period

Period of small oscillations

Dynamics

Source Details

Id

mech-simple-pendulum

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°)

Variables
[
  {
    "symbol": "T",
    "name": "Period",
    "unit": "s",
    "siUnit": "s"
  },
  {
    "symbol": "L",
    "name": "Pendulum Length",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "ft"
  },
  {
    "symbol": "g",
    "name": "Gravity",
    "unit": "m/s²",
    "siUnit": "m/s²",
    "imperialUnit": "ft/s²"
  }
]
Solve For

T, L

Tags

pendulum, period, oscillation, shm

Is Custom

false