Simulateur de pendule
Faites osciller plusieurs pendules en même temps et découvrez ce qui régit vraiment leur rythme : la longueur, la gravité et l'amplitude de leur écart de départ.
Voici un véritable pendule non linéaire, intégré par la méthode RK4 — et non l'approximation des petits angles. Choisissez un préréglage ou touchez une masse pour lire sa longueur, sa gravité, sa période et sa fréquence en unités réelles, et voyez la période réelle augmenter pour les grandes oscillations.
Préréglages
Pendule sélectionné
Touchez une masse pour examiner sa longueur, sa gravité, sa période et sa fréquence.
Formules et sources
T = 2π√(L/g)
θ″ = −(g/L)·sin θ
T = 4√(L/g)·K(sin(θ₀/2))
g₀ = 9.80665 m/s²
The units and constants behind this swing
A pendulum is a machine made of three quantities. Follow any of them into the converter, or into the constant that defines it — something a physics simulation alone cannot show you.
What you are changing
The constant in the formula
- g₀ = 9.80665 m/s² Standard gravity · a defined value, exact — not a measurement
The same 1-metre pendulum, moved around the Solar System
| Body | g (m/s²) | Period of a 1 m pendulum | vs Earth |
|---|---|---|---|
| Earth | 9.80665 * | 2.01 s | 1.00× |
| Moon | 1.62 | 4.94 s | 0.17× |
| Mars | 3.721 | 3.26 s | 0.38× |
| Venus | 8.87 | 2.11 s | 0.90× |
| Mercury | 3.7 | 3.27 s | 0.38× |
| Jupiter | 24.79 | 1.26 s | 2.53× |
| Saturn | 10.44 | 1.94 s | 1.06× |
| Sun | 274 | 0.38 s | 27.94× |
Periods are calculated live from T = 2π√(L/g) with L = 1 m. * Earth's value is the defined standard gravity g₀; the others are NASA surface-gravity figures (NIST, NASA Planetary Fact Sheet).
The pendulum that almost became the metre
A pendulum whose full swing takes exactly 2 seconds needs a length of 0.9936 m on Earth — so close to one metre that in the 17th century it was proposed as the definition of the metre itself. The definition went to the speed of light instead, but the coincidence is still there in the numbers above.
How the units are actually defined →