Simple Pendulum Period Calculator
Calculate the period (T), frequency (f), or string length (L) of a simple pendulum using the small-angle approximation formula. Physics calculator for high school and university students studying mechanics, oscillations, and wave theory. Enter any two values to find the third.
Pendulum Period Formula
T = 2π √(L/g)Variables:
- TPeriod (seconds)Period (seconds)
- LString Length (meters)String Length (meters)
- gGravitational Acceleration (m/s²)Gravitational Acceleration (m/s²)
- fFrequency (Hz) = 1/TFrequency (Hz) = 1/T
How to Use the Simple Pendulum Calculator
- 1
Select the Variable
Choose what to calculate: Period, Length, or Gravity.
- 2
Enter Known Values
Input the values you know.
- 3
Calculate
Get instant results.
Examples
Pendulum Period Example
Problem:
A string is 1 meter long. What is the period?
Solution:
- 1.L = 1 m
- 2.g = 9.8 m/s²
- 3.T = 2π √(1/9.8)
Result:2.007 seconds
One full back-and-forth swing takes about 2 seconds.
Frequently Asked Questions
Does mass affect the period?
No—for small angles, the bob's mass does not affect the pendulum period.
When does this formula apply?
It applies for small angular displacements (< 15°) and when the string is considered massless.