Moment of Inertia Calculator
Result
Moment of Inertia Calculate moment of inertia (rotational resistance). Formula: I = Σ(m_i × r_i²). For uniform disk: I = 0.5MR²; uniform rod: I = (1/12)ML² — free online calculator.
Formula
- Moment of Inertia Calculator calculates its result from Mr, Ml. It uses the formula Disk: I = 0.5MR² | Rod: I = (1/12)ML² | Sphere: I = (2/5)MR² | Point: I = MR². Change any input to recalculate the result instantly.
- The main inputs are Object Type, Mass, Radius or Length. Enter them in the units and format shown in the calculator.
- Use the units, labels and assumptions shown beside each input so the formula is applied consistently.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Moment of Inertia
- Object Type: disk
- Mass: 2 kg
- Radius or Length: 0.5 m
Using Mr = 2, Ml = 3, the calculated result is 4.
Sample result: Calculating…
Frequently asked questions
What does the Moment of Inertia calculate?
Moment of Inertia Calculate moment of inertia (rotational resistance). Formula: I = Σ(m_i × r_i²). For uniform disk: I = 0.5MR²; uniform rod: I = (1/12)ML² — free online calculator.
Which values should I enter?
Enter Object Type, Mass, Radius or Length using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Disk: I = 0.5MR² | Rod: I = (1/12)ML² | Sphere: I = (2/5)MR² | Point: I = MR².
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.