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

## 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.

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.

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