MASS MOMENT OF INERTIA OF A SPHERE


The moment of inertia of a sphere about sphere's center of the mass can be calculted using following moment of inertia calculator.

Formulas used for sphere's mass moment of inertia calculations are given in the "List of Equations" section.



Calculator:

Mass moment of inertia of a solid sphere
INPUT PARAMETERS
Parameter Symbol Value Unit
Radius R
Mass M



OUTPUT PARAMETERS
Parameter Symbol Value Unit
Mass moment of inertia about any axis through the center I ---

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 any axis through the center I I= (2/5) * (M*r2)

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