# 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.

## Variables

I_{x} | Moment of inertia of the thick-walled cylindrical tube (kg*m^{2}) |

m | Mass of the cylinder (kg) |

r | Radius of the circle of its base. (m) |

h | Height of the cylinder (m) |