# MASS MOMENT OF INERTIA OF A THIN RECTANGULAR PLATE

The moment of inertia of a rectangle shaped thin plate about its center of the mass can be calculated using following moment of inertia calculator.

Formulas used for mass moment of inertia calculations of a flat rectangular plate are given in the "List of Equations" section.

##### Calculator:

 INPUT PARAMETERS Parameter Symbol Value Unit Length a a mm cm m inch ft Length b b Mass M kg lb

 OUTPUT PARAMETERS Parameter Symbol Value Unit Mass moment of inertia about X axis Ix --- g*mm^2 kg*m^2 lb*in^2 Mass moment of inertia about Y axis Iy --- Mass moment of inertia about Z axis Iz ---

##### Definitions:

Mass Moment of Inertia: A measure of an object's resistance to rotational velocity about an axis.

##### List of Equations:

 Parameter/Condition Symbol Equation Mass moment of inertia about x axis Ix Ix= (M/12) * a2 Mass moment of inertia about y axis Iy Iy= (M/12) * b2 Mass moment of inertia about z axis Iz Iz= (1/12)*M*(a2+b2)

##### Reference:
• Oberg, E., Jones, F. D., Horton, H. L., & Ryffel, H. H. (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc., pp 246