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PHYSICS / OSCILLATIONS

Physical Pendulum Period Calculator

Calculate the small-angle period of a rigid physical pendulum. See the governing equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate the small-angle period of a rigid physical pendulum. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

T=2pi sqrt[I/(mgd)]

What you provide

What you provide

  • Pivot-axis moment of inertia expressed in kg m^2, using the same scenario as the other inputs
  • Pendulum mass expressed in kg, using the same scenario as the other inputs
  • Pivot to center-of-mass distance expressed in m, using the same scenario as the other inputs

What you receive

What you receive

  • Oscillation period in s from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Oscillation amplitude is small, damping is negligible, and the pivot is fixed.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors