According to \( M ~=~ I \, \alpha \) (\(\alpha\): angular acceleration), the moment of inertia determines how hard it is to exert 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 homogeneously filled cylinder is calculated, whose axis of rotation passes through the center, perpendicular to the diameter.

Mass

\( m \) Unit \( \mathrm{kg} \)

Total mass of the cylinder that is homogeneously distributed in the cylinder. The greater the mass, the greater the moment of inertia.

Radius

\( r \) Unit \( \mathrm{m} \)

Radius of the cylinder. If the radius is twice as large, the moment of inertia of the cylinder is quadrupled.

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