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axis of rotation

physics and mathematics

Quick Summary

The axis of rotation is a fundamental concept in physics and mathematics, representing the straight line around which a rigid body moves in circles. This axis is fixed in space, and the body's resistance to rotational motion is known as rotational inertia.12

Key aspects include:
* Definition: The line through all fixed points of a rotating body, with all other points moving in circles around it.1
* Inertia: A body resists changes in its rotational motion, similar to how mass resists changes in linear motion.2
* Moment of Inertia: This quantity, denoted by I, expresses a body's rotational inertia and depends on how mass is distributed relative to the axis of rotation. Mass farther from the axis contributes more significantly to the moment of inertia.2
* Mathematical Representation: Angular momentum (L) is related to angular velocity (ω) by L = Iω, and torque (τ) is related to angular acceleration (α) by τ = Iα.2

The Earth, for example, completes one rotation around its axis approximately every 24 hours. In crystallography, a rotation axis refers to a symmetry element within a crystal structure.34

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