\[T=2\pi\sqrt{\frac{L}{g}}\]
Variables
Tpendulum period (s)
Lpendulum length (m)
ggravitational acceleration (m/s²)
Description
What is this formula?
This formula calculates the period of a simple pendulum for small oscillation angles. The period depends mainly on the pendulum length and gravitational acceleration.
When to use it
Use this formula for ideal pendulums with small angular displacement, negligible air resistance, and a mass concentrated at the end of a light string or rod.
Example
Data:
L = 1 m
g = 9.81 m/s²
Formula:
T=2π√(L/g)
Substitution:
T=2π√(1/9.81)
Result:
T=2.01 s
Applications
Physics education
Oscillation analysis
Clock pendulums
Gravity experiments
Mechanical vibration models