pöörlemoment

Pöörlemoment, also known as the moment of inertia or rotational inertia, is a fundamental concept in physics that describes the resistance of an object to changes in its rotation. It is analogous to mass in linear motion, but for rotational motion. The moment of inertia depends on both the mass of the object and the distribution of that mass relative to the axis of rotation.

The moment of inertia is calculated using the formula I = Σ(m_i * r_i^2), where m_i is the mass of each particle in the object, and r_i is the perpendicular distance from the particle to the axis of rotation. This formula can be simplified for objects with uniform mass distribution, such as a solid cylinder or a thin rod.

The unit of moment of inertia is kilogram-meter squared (kg·m^2). The larger the moment of inertia, the more difficult it is to change the object's rotational motion. This concept is crucial in various fields, including engineering, astronomy, and sports, where understanding and calculating the moment of inertia is essential for designing structures, predicting celestial motions, and optimizing athletic performance.