Equations
Period of a simple pendulum
Waves · id pendulum_period
T = 2 \pi \sqrt{\frac{L}{g}}
| Symbol | Quantity | Unit | Meaning | Usual range |
|---|---|---|---|---|
T | period | s | Time for one full swing back and forth | 0.001 to 100000 |
L | pendulum length | m | Length from pivot to the bob's center | 0.001 to 10000 |
g | gravitational acceleration | m/s^2 | Local acceleration due to gravity | 1 to 30 |
Assumptions
- Small swing angle
- Massless string, point bob
- No friction
Valid when
- Angles under about 15 degrees
Found by
Questions with these words retrieve this equation: pendulum, period, swing, clock, oscillation, string length.
Source
OpenStax University Physics Volume 1, Chapter 15 (reference; entry written by the project). License: MIT. Entry confidence: 0.99.