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Formula Solid cylinder - rotation around the symmetry axis Moment of inertia    Mass    Radius

Formula
Formula: Solid cylinder - rotation around the symmetry axis

Moment of inertia

Unit
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

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

Radius

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