MASS MOMENT OF INERTIA OF A CYLINDER


The mass moment of inertia of a solid cylinder about its center of the mass can be calculated using following  calculator. Mass moment of inertia formulas for cylinder are given below the calculator.


Mass Moment of Inertia Calculator for Solid Cylinder:

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



RESULTS
Parameter Value
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 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., (2016) . Machinery's Handbook . 30th edition.  Industrial Press Inc. pp 238
  • Oberg, E., Jones, F. D., Horton, H. L., & Ryffel, H. H. (2012) . Machinery's Handbook . 29th edition.  Industrial Press Inc., pp 246