Inertia Calculator
Calculate the moment of inertia for common shapes (rectangle, circle, triangle) about their centroidal axis. Useful for engineering and physics applications.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Inertia Calculator
This tool calculates the moment of inertia (I) for common cross-sectional shapes. Follow these steps:
- Select a shape from the dropdown (Rectangle, Circle, or Triangle). The input fields will update automatically.
- Enter dimensions in consistent units (e.g., all in mm, cm, or inches). For rectangles and triangles, provide base (b) and height (h). For circles, provide radius (r).
- Click "Calculate" to compute the moment of inertia. The result appears in units4 (e.g., cm4 or in4).
- Review the output: the result shows the inertia value, the formula used, and the step-by-step calculation.
Note: All dimensions must be positive numbers. The calculator uses standard formulas: I = b·h³/12 for rectangles, I = π·r⁴/4 for circles, and I = b·h³/36 for triangles.
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Frequently Asked Questions
Moment of inertia is a measure of an object's resistance to changes in its rotational motion about an axis. It depends on the mass distribution relative to that axis.
It supports rectangle, circle, and triangle, calculating the area moment of inertia about their centroidal axis.
The result is in units^4 (e.g., mm^4, m^4). Ensure your input dimensions are in consistent units.