ONE FORMULA, ONE ANSWER
Small Angle Pendulum Period Calculator
Check a simple pendulum period for basic gravity and vibration experiments. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Small angle pendulum period T
Enter values and select Calculate.
T = 2π √(L/g)
Assumptions
Use L,g>0. Assume small angle motion, a point-mass bob, a massless string and negligible damping. Large amplitudes and physical pendulums require other models.
Displayed values are floating-point approximations. Measurement uncertainty and design safety factors are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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