MASS MOMENT OF INERTIA OF A SPHERE


The mass moment of inertia calculator for a sphere about sphere's center of the mass. Mass moment of inertia formulas are given below the calculator.


Mass Moment of Inertia of a Solid Sphere Calculator:

Mass moment of inertia of a solid sphere
INPUT PARAMETERS
Parameter Value
Radius [R]
Mass [M]



RESULTS
Parameter Value
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 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., (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