Physics / CALCULATOR

Axial Moment of Inertia of a Solid Cylinder

Axial Moment of Inertia of a Solid Cylinder with defined units, a worked example and input validation.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

kg
Enter mass in kg.
m
Enter cylinder radius in m.

Formula

I=½mass ×radius² about the cylinder symmetry axis.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Uniform solid cylinder about its central longitudinal axis. Not a general body/axis solver or an area moment of inertia.

Example Calculation

Example inputs
  • Mass: 10 kg
  • Cylinder radius: 0.2 m

Mass = 10; Cylinder radius = 0.2. Primary result: 0.2.

Frequently asked questions

How do I use this calculator?

Enter mass, cylinder radius. The result updates automatically. Use Reset to restore the example values.

What method does it use?

I=½mass ×radius² about the cylinder symmetry axis.. Uniform solid cylinder about its central longitudinal axis. Not a general body/axis solver or an area moment of inertia.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.