# Mass moment of inertia of a rectangular plate

Calculates the mass moment of inertia of a rectangular plate.

`I_z = 1/12*m*(h^2+w^2)` (about the perpendicular central axis)

`I_x=I_y = 1/24*m*(h^2+w^2)` (about a symmetry axis in the plate plane)

`I_e= 1/12*m*(4*h^2+w^2)` (about axis at the end of the plate

Enter 'x' in the field to be calculated.

Here are the formulas to calculate the mass moment of inertia of a thin rectangular plate about different axis.

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

`I_z = 1/12*m * (h^2+w^2)`

Case of a rotation about on of the two symmetry axis on the plate plan (x-axis and y-axis on above diagram),

`I_x = 1/24*m * (h^2+w^2)`

Case of rotation about axis at end of the plate (Me on above diagram). This axis passes through the midpoint of the width line segment (of length w) and is perpendicular to the plate plane.

`I_e = 1/12*m * (4*h^2+w^2)`

m : mass of the plate in kilogram (kg)

h : its height in meter (m)

w : its width 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