Calculadora de Pêndulo
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
T = 2π√(L/g)
About this calculator
The Pendulum Calculator determines the oscillation period of a simple pendulum for small amplitudes (up to about 15 degrees). The period T is the time for one complete swing (back and forth). It uses the formula T = 2π√(L/g), where L is the string length in meters and g is the acceleration due to gravity (default 9.81 m/s²). You can adjust g for other planets or locations.
This calculator is useful for physics students, engineers, and hobbyists who need to predict pendulum behavior in experiments, clocks, or mechanical projects. For example, when designing a clock pendulum, you can adjust the length to achieve an exact 2-second period. It also helps verify local gravity by measuring period and length.
Important: the formula assumes small amplitude and no air resistance or pivot friction. For larger amplitudes, the actual period is slightly longer. Also, the pendulum must be ideal: inextensible string and point mass. In real situations, consider these limitations to avoid errors.
Frequently asked questions
What does pendulum period mean?
It is the time for the pendulum to swing from one extreme to the other and back, completing one full oscillation.
Can I use this calculator for any angle?
No, the formula is accurate only for small amplitudes (up to 15 degrees). For larger angles, the actual period is longer.
How do I change the gravity value?
In the 'Acceleration due to Gravity' field, enter the desired value. For example, on the Moon use 1.62 m/s².
Does the string length affect the period?
Yes, the period increases with the square root of the length. Longer string means slower oscillation.
Does the mass of the bob affect the period?
No, in the simple pendulum formula for small amplitudes, the period is independent of mass.