You are doing the same operation that you are doing for the "classical inertia moment", mass x distance^2 (Kg m^2), but instead of the mass you are using the area. the logical explanation is that when you are calculating a some sort of geometrical moments you are, always, multiplying a quantity x distance^2 .Marco884 said:
Inertia is a property of matter that describes the tendency of an object to resist changes in its state of motion. In other words, objects at rest tend to stay at rest, and objects in motion tend to stay in motion, unless acted upon by an external force.
Inertia is measured in meters to the fourth power because it is directly related to an object's mass and distance from a reference point. The equation for inertia is I = mr^2, where m represents mass and r represents the distance from the object's center of mass to the reference point. Therefore, the units for inertia are meters squared multiplied by kilograms, which simplifies to meters to the fourth power.
Inertia and mass are often used interchangeably, but they are not the same thing. Mass is a measure of the amount of matter in an object, while inertia is a measure of how resistant an object is to changes in its state of motion. Mass is a scalar quantity, while inertia is a vector quantity that takes into account an object's mass and its distance from a reference point.
An object's inertia is affected by its mass and its distance from a reference point. The greater the mass of an object, the greater its inertia. Similarly, the farther an object is from a reference point, the greater its inertia. Inertia can also be affected by external forces, such as friction or air resistance, which can change an object's state of motion.
Inertia is directly related to Newton's First Law of Motion, also known as the law of inertia. This law states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force. In other words, an object with a greater inertia will require a greater force to change its state of motion, while an object with a smaller inertia will require less force to change its state of motion.