$$ \class{brown}{I} $$ Unit $$ \mathrm{kg} \, \mathrm{m}^2 $$

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

$$ \class{brown}{m} $$ 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

$$ \class{purple}{r} $$ 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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