# MASS MOMENT OF INERTIA OF A HOLLOW CYLINDER (SHAFT)

"Mass Moment of Inertia of a Hollow Cylinder (Shaft) Calculator" has been developed to calculate mass moment of inertia (rotational inertia) of a hollow shaft about its center of the mass.

Equations used for mass moment of inertia calculations for a hollow cylinder are given in the "List of Equations" section.

##### Calculator:

 INPUT PARAMETERS Parameter Symbol Value Unit Inner Radius R1 mm cm m inch ft Outer Radius R2 Height h 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) * (3*(R22+R12) + h2) Mass moment of inertia about y axis Iy Iy= (m/12) * (3*(R22+R12) + h2) Mass moment of inertia about z axis Iz Iz= (m/2) * (R12+R22)

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