Science calculator
Pendulum Period Calculator
Calculate the period and frequency of a simple pendulum.
About the pendulum period calculator
The pendulum period calculator finds the period and frequency of a simple pendulum.
How to use this calculator
- 1
Enter length
Enter the pendulum length in meters.
- 2
Enter gravity
Enter gravitational acceleration (9.81 m/s² by default).
- 3
View results
See period and frequency.
How the calculation works
T = 2π√(L/g). f = 1/T. Valid for small angles (<15°).
Example: L=1m, g=9.81: T≈2.01s, f≈0.50Hz.
Understanding scientific constants
Key constants used: g = 9.81 m/s² (Earth gravity), c = 299,792,458 m/s (speed of light), G = 6.674×10⁻¹¹ N·m²/kg² (gravitational constant), h = 6.626×10⁻³⁴ J·s (Planck's constant), R = 8.314 J/(mol·K) (ideal gas constant). Results assume ideal conditions — real-world measurements may vary.
Ideal vs. real-world conditions
Most physics calculators assume ideal conditions: no air resistance, perfect vacuums, uniform gravity. Real-world results will differ due to friction, air resistance, temperature variations, and measurement uncertainty. Use these tools for learning and estimation, not precision engineering.
Important limitations
This tool provides a mathematical estimate based only on the values entered. It does not account for regulations, taxes, lender fees, market conditions, or individual circumstances. Results are for planning purposes only — consult a qualified professional for regulated, medical, financial, or construction decisions.
Frequently asked questions about pendulum period calculator
How accurate is the pendulum calculator?+
The calculation follows the displayed formula and retains full numeric precision before formatting the result.
Can I use the result professionally?+
Use it as a planning estimate. Confirm regulated, medical, financial, or construction decisions with a qualified professional.