Dimensional analysis for simple pendulum period (Period depends on length and gravity as √(l/g) up to)

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Period depends on length and gravity as √(l/g) up to a dimensionless constant k (2π from physics, not from dimensions alone).

What each symbol means

SymbolWhat it stands for
TPeriod
gAcceleration due to gravity
kDimensionless constant
lLength

When to use this

Assumes dependence only on l and g; angle small so amplitude not in leading scaling.