MASS MOMENT OF INERTIA OF A CYLINDER

The moment of inertia of a cylinder about its center of the mass can be calculated using following moment of inertia calculator.

Moment of inertia formulas for cylinder are given in the "List of Equations" section.



Calculator:

Mass moment of inertia of a solid cylinder (disc)
INPUT PARAMETERS
Parameter Symbol Value Unit
Radius r
Height h
Mass M



OUTPUT PARAMETERS
Parameter Symbol Value Unit
Mass moment of inertia about X axis Ix ---
Mass moment of inertia about Y axis Iy ---
Mass moment of inertia about Z axis Iz ---

Note: Use dot "." as decimal separator.

 

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) * (3r2+h2)
Mass moment of inertia about y axis Iy Iy= (m/12) * (3r2+h2)
Mass moment of inertia about z axis Iz Iz= (mr2)/2

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