Pendulum Period Calculator — T = 2π√(L/g)

A pendulum's swing time depends only on its length and gravity — not on the mass of the bob or (for small swings) the amplitude.

Pendulum Period Calculator — T = 2π√(L/g)

T=2πLgT = 2\pi\sqrt{\frac{L}{g}}

How to interpret the result

A 1-meter pendulum swings with a period of about 2.0 s — the principle behind grandfather clocks, which use ~1 m pendulums for their 2-second beat.

Assumptions

  • Small-angle approximation (swings under ~15°)
  • Massless string, point-mass bob
  • g = 9.81 m/s²