Moment of inertia of a thick-walled cylindrical tube ( Axis at the center of the cylinder perpendicular to its height)

Description

Moment of inertia is the mass property of a rigid body that defines the torque needed for a desired angular acceleration about an axis of rotation. Moment of inertia depends on the shape of the body and may be different around different axes of rotation. A larger moment of inertia around a given axis requires more torque to increase the rotation, or to stop the rotation, of a body about that axis. For simple objects with geometric symmetry, one can often determine the moment of inertia in an exact closed-form expression.
Moment of inertia of a thick-walled cylindrical tube with its axis of rotation at the center of the cylinder perpendicular to its height , is related to the mass of the cylinder, its height and the radius of the circle of its base.

Related formulas

Variables

IxMoment of inertia of the thick-walled cylindrical tube (kg*m2)
mMass of the cylinder (kg)
rRadius of the circle of its base. (m)
hHeight of the cylinder (m)