Moment of Inertia Converter
Convert between different units of moment of inertia quickly and accurately
About Moment of Inertia
Moment of inertia, also known as rotational inertia, is a measure of an object's resistance to changes to its rotation. It is the rotational analogue to mass in linear motion. The moment of inertia depends on the mass distribution relative to the axis of rotation.
Common units include kilogram-meter² (kg·m²), gram-centimeter² (g·cm²), and pound-mass-foot² (lb·ft²).
Common Shapes and Their Moments of Inertia
Solid Cylinder
I = ½mr²
About central axis
Rectangular Plate
I = ⅓mw²
About central axis (width)
Solid Sphere
I = ⅖mr²
About any diameter
Thin Rod
I = ⅓ml²
About one end