Pöördel

Pöördel is an Estonian term used to denote rotational motion or turning. The word is derived from the verb pöörama, meaning to turn, and is used in various technical and scientific contexts to describe the act or result of rotation.

In mathematics, pöördel refers to a rotation transformation: a rigid motion of a plane or space around a fixed center or axis that preserves distances. In two dimensions, rotations can be described by rotation matrices or complex numbers, while in three dimensions they are represented by rotation matrices, Euler angles, or quaternions. These representations allow the orientation of objects to be changed without altering their size or shape.

In physics and engineering, pöördel denotes the rotational aspect of motion. Key quantities include angular displacement, angular velocity, and angular acceleration. The dynamics of rotational motion involve moment of inertia and torque, with common relations such as torque equals moment of inertia times angular acceleration and angular momentum equals moment of inertia times angular velocity for rigid bodies about a fixed axis.

Pöördel is used in diverse fields such as mechanics, computer graphics, robotics, and design, wherever the turning or orientation of objects is relevant. It provides a conceptual and mathematical framework for describing how objects rotate, how their orientation changes over time, and how rotational effects interact with forces and constraints.