The Hollow Cylinder Moment of Inertia calculator computes the MOI of a hollow cylinder about a central axis based on the mass and dimensions of a hollow cylinder.
INSTRUCTIONS: Choose units and enter the following:
(m) Mass of Hollow Cylinder
(R1) Inner Radius
(R2) Outer Radius
Moment of Inertia (MOI): The moment of inertia is returned in kilogram⋅meters squared (kg·m²).
The Math / Science
The formula for the moment of inertia for a Hollow Cylinder is:
I = 1/2 m ( ri2 + ro2)
where
m = mass of hollow cylinder
R1 = distance between axis and inside of hollow cylinder
R2 = distance between axis and outside of hollow cylinder