Trägheitsmomenteinheit

Trägheitsmomenteinheit translates from German to "moment of inertia unit." It refers to the standard unit used to measure the moment of inertia in physics. The moment of inertia is a property of a rotating body that describes its resistance to angular acceleration. It is analogous to mass in linear motion, which describes resistance to linear acceleration.

The SI unit for the moment of inertia is kilogram-meter squared (kg⋅m²). This unit is derived from the definition of moment of inertia, which is the integral of the mass distribution of a body multiplied by the square of its distance from the axis of rotation. For a point mass, the moment of inertia is simply the product of its mass and the square of its distance from the axis of rotation (I = mr²). When dealing with extended objects, this concept is generalized through integration. Therefore, the dimensions are mass times length squared. While kg⋅m² is the standard SI unit, other units based on different systems of measurement may exist historically or in specific engineering contexts, but they are generally less common in scientific literature.