Skip to main content

Formula Hollow Cylinder (Axis of Rotation Parallel to Radius) Moment of inertia    Mass    Radius    Width

Formula
Formula: Hollow Cylinder (Axis of Rotation Parallel to Radius)
Rotating Hollow Cylinder with Axis of Rotation Along the Radius

Moment of inertia

Unit
According to \( M ~=~ I \, \alpha \) (\(\alpha\): angular acceleration), the moment of inertia determines how hard it is to generate a torque \(M\) on the body. Moment of inertia \(I\) depends on the mass distribution and on the choice of the axis of rotation. Here, the moment of inertia of a hollow cylinder is calculated, whose axis of rotation is parallel to the diameter / radius.

Mass

Unit
Total mass of the hollow cylinder. The moment of inertia of the hollow cylinder is larger, the greater its mass.

Radius

Unit
Radius of the hollow cylinder. With a larger radius, the mass is located further away from the axis of rotation, i.e. the moment of inertia is larger.

Width

Unit
Width of the hollow cylinder. The wider the cylinder, the greater the moment of inertia.