Overview

Calculate the period of a simple pendulum using T = 2π√(L/g). Determines period and frequency from pendulum length and gravitational acceleration. Used in clock design, gravity measurement, and physics experiments.

Formula

Period: T = 2π√(L/g)
Frequency: f = 1/T = (1/2π)√(g/L)

T = Period (s)
L = Pendulum length (m)
g = Gravitational acceleration (m/s², default 9.8)

※ Valid for small-angle approximation (θ < 15°)

How to Use

1. 1Enter the pendulum length (m).
2. 2Enter gravitational acceleration (default: 9.8 m/s² for Earth's surface).
3. 3Period (T) and frequency (f) are calculated automatically.
4. 4Alternatively, enter the period to find the required pendulum length.

Tips

• ✔Pendulum period is independent of mass and depends only on length (small-angle condition).
• ✔Quadrupling the length doubles the period (square root relationship).
• ✔Amplitudes above 15° require corrections to this formula.
• ✔A seconds pendulum (T = 2s round trip) has a length of approximately 0.994 m.

FAQ