# Mass moment of inertia of a thin cylindrical shell

Calculates the mass moment of inertia of a thin cylindrical shell.

`I_z = m*R^2` (about central axis)

`I_x=I_y = 1/2*m*R^2 + 1/12*m*h^2` (about diameter)**Enter 'x' in the field to be calculated.**

We use below formulas to calculate the mass moment of inertia of a thin cylindrical shell.

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

`I_z = 1/2*m * R^2`

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

`I_x = I_y = 1/2*m*R^2 + 1/12*m*h^2`

m : mass of the cylinder (kg)

R : radius in meter (m)

h : height 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