// multi-utility computation suite · offline · instant · precise
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sci.moment-inertia Calculator
Calculates the moment of inertia for common geometries (sphere, cylinder, rod, disc) about specified rotation axes. Moment of inertia depends on both mass and its distribution — a hollow cylinder has I = mr² (all mass at rim) vs I = ½mr² for a solid cylinder.
Inputs
Mass
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Radius
Distance from centre to edge of a circle. Radius = diameter / 2.
Length
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Shape
Reference formula or conversion factor shown for context.
Results
moment of inertia I (kg*m^2)
Sample size or count used in the calculation.
shape
The geometric shape classification.
KE at 10 rad/s (J)
The value at the specified point or condition.
mass
The computed mass of the object or substance.
angular momentum at 1 rad/s
Product of mass and velocity (kg·m/s). Conserved in all collisions — total momentum before equals total after. More mass or more speed makes stopping harder.