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

According to \( M ~=~ I \, \alpha \) (\(\alpha\): angular acceleration), the moment of inertia determines how hard it is to 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

$$ m $$ Unit $$ \mathrm{kg} $$

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

Radius

$$ r $$ Unit $$ \mathrm{m} $$

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

$$ w $$ Unit $$ \mathrm{m} $$

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

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