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Pendulum Period Calculator

Science & Engineering

T=2π√(L/g), multiple planets

Quick Answer

Pendulum Period Calculator: T=2π√(L/g), multiple planets. Pendulum Period Calculator uses standard science & engineering formulas to compute accurate results instantly.

m
m/s²
Period T
2.0061 s

Calculation steps

  1. 1T = 2π√(L/g) — small-angle approximation (θ < ~10°)
  2. 2T = 2π × √(1 / 9.81) = 2.0061 s
  3. 3Period is independent of mass and (approximately) amplitude — Galileo, 1583.
Frequency f0.4985 Hz
Swings per minute29.9

Length → period quick table (g = 9.81)

LengthPeriodApplication
0.10 m0.634 sToy pendulum
0.25 m1.003 sDesk ornament
0.994 m2.000 sSeconds pendulum (half-period 1 s) — old clock standard
4 m4.012 sMuseum demo
67 m16.420 sFoucault 1851 Pantheon
The formula assumes small swings (<10°). At 30° the true period is ~1.7% longer; at 60° ~7% longer (correction factor 1 + θ²/16). A pendulum clock taken to the mountains runs slow because g decreases with altitude (~0.3% per 1000 m).

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How to Use

  1. Enter known quantities: fill values and confirm units in the Pendulum Period Calculator.
  2. Instant solution: unknowns solve live with the formula shown transparently.
  3. Use constant/material tables: standard physical constants and material data are listed on this page.
  4. Compare conditions: change inputs to compare scenarios.

Key Points

  • Pendulum Period Calculator is a free online science & engineering tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: T=2π√(L/g), multiple planets.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Pendulum Period Calculator formula

Pendulum Period Calculator uses standard science & engineering formulas to compute accurate results instantly.

FAQ

How do I use the Pendulum Period Calculator?
Open the page and fill in the input fields — results update automatically. T=2π√(L/g), multiple planets.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on CODATA recommended constants and standard physics formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Pendulum Period Calculator[EB/OL]. https://www.yijiansuan.com/en/c/science/pendulum

Results provided by this tool are for reference only and do not constitute professional advice.