# Mass moment of inertia of a hollow cylinder

Calculates the mass moment of inertia of a hollow cylinder.

`I_z = 1/2*m * (R^2+r^2)` (about central axis)

`I_x=I_y=1/12*m*[3*(R^2+r^2) + h^2]` (about diameter)

Enter 'x' in the field to be calculated.

Formulas to calculate the mass moment of inertia of a hollow cylinder or cylindrical tube.

Case of a rotation about the central axis (z-axis on above diagram),

`I_z = 1/2*m * (R^2+r^2)`

Case of a rotation about a diameter (x-axis and y-axis on above diagram),

`I_x = I_y = 1/12*m*[3*(R^2+r^2) + h^2]`

m : mass of the cylinder in kilogram (kg)

h : height in meter (m)

R : outer radius in meter (m)

r : inner radius in meter (m)

## See also

Mass moment of inertia Calculators

Convert mass units

Convert distance units

Convert units of mass moment of inertia

Physics Calculators