진자 시뮬레이터
여러 개의 진자를 동시에 흔들며 리듬을 결정하는 것이 무엇인지 발견해 보세요: 길이, 중력, 그리고 얼마나 멀리 당겼는가.
이것은 미소각 근사가 아니라 RK4로 적분한 진짜 비선형 진자입니다. 프리셋을 고르거나 추를 탭하면 길이, 중력, 주기, 진동수를 실제 단위로 읽을 수 있고, 크게 흔들수록 실제 주기가 길어지는 모습을 볼 수 있습니다.
프리셋
선택한 진자
추를 탭하면 길이, 중력, 주기, 진동수를 확인할 수 있습니다.
공식과 출처
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 →