Rigid Transformations In Geometry: Translation, Rotation, And Reflection.

rotation

in a plane, a transformation in which each point on a figure is turned through a given angle and direction around a given point called the center of rotation; the distance between each point on the preimage and the center of rotation is equal to the distance between the center of rotation and the corresponding point on the image

Rotation refers to the circular movement of an object around a fixed point or axis. In physics and mathematics, it is commonly used to describe the motion of a rigid body in three-dimensional space.

There are two main types of rotation:

1. Revolution or orbital rotation: This type of rotation refers to the circular motion of a body around another body. Examples include planets revolving around the sun or the moon revolving around the Earth.

2. Spinning or axial rotation: This type of rotation refers to the circular motion of an object around its own axis. Examples include the rotation of the Earth on its axis or the rotation of a spinning top.

In physics, rotation can be described in terms of angular velocity, which is the rate at which an object rotates around an axis, and angular acceleration, which is the rate at which the angular velocity of an object changes over time. The laws of physics governing rotational motion are similar to those governing linear motion, but involve different quantities such as torque and moment of inertia.

Rotation has many practical applications in engineering, science, and everyday life. For example, the rotation of turbines is used to generate electricity in power plants, the rotation of wheels is used to move vehicles, and the rotation of gears is used to transmit power and motion in machines.

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