Simulator Bandul
Ayunkan beberapa bandul sekaligus dan temukan apa yang sebenarnya menentukan ritmenya: panjang, gravitasi, dan seberapa jauh Anda menariknya.
Ini adalah bandul nonlinear sungguhan, diintegrasikan dengan RK4 — bukan pendekatan sudut kecil. Pilih prasetel atau ketuk sebuah bandul untuk membaca panjang, gravitasi, periode, dan frekuensinya dalam satuan nyata, serta melihat bagaimana periode sebenarnya bertambah pada ayunan besar.
Prasetel
Bandul terpilih
Ketuk sebuah bandul untuk memeriksa panjang, gravitasi, periode, dan frekuensinya.
Rumus & sumber
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 →