Waves

Pendulum Period

T=2πLgT = 2\pi\sqrt{\frac{L}{g}}

Period of simple pendulum (small angles).

Variables

T
Period
Time for one swing
s
L
Length
Pendulum length
m
g
Gravitational acceleration
≈ 9.8 m/s²
m/s²

Derivation

For small θ: ω = √(g/L), T = 2π√(L/g).

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Common questions

What is the Pendulum Period formula?

Pendulum Period is written T = 2π√(L/g). Period of simple pendulum (small angles). It belongs to Waves, under Simple Harmonic Motion.

What are the units in T = 2π√(L/g)?

In SI units, T is period, measured in s; L is length, measured in m; g is gravitational acceleration, measured in m/s².

How is the Pendulum Period formula derived?

For small θ: ω = √(g/L), T = 2π√(L/g). The result is T = 2π√(L/g).