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.

Rotation axis

Moment of inertia (I)

Mass (m)

Radius (R)

Height (h)

Result format

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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