# Angular Velocity Vector

This post categorized under Vector and posted on March 11th, 2019.

In three dimensions angular velocity is a vector with its magnitude measuring the rate of rotation and its direction pointing along the axis of rotation (perpendicular to the radius and velocity vectors). The up-or-down orientation of angular velocity is conventionally specified by the right-hand rule.So good so the angular velocity vector what you need to remember is the angular velocity vector is the angular rotation of one frame relative to another. And it is really a vector that means it satisfies vector addition and subtraction.However if the torque direction is perpendicular to the axis of the wheel the effect is very different. The change in angular velocity is perpendicular to the angular velocity vector changing its direction but not its magnitude. The resultant motion of the wheel around a vertical axis is called precession.

Because the angular velocity vector points the way it does it has no component along the wheel. The wheel is spinning so the tangential (linear) velocity at any point on the wheel is constantly changing direction except for at the very center point of the wheel where the base of the angular velocity vector Angular velocity also called rotational velocity is a quangraphicative expression of the amount of rotation that a spinning object undergoes per unit time. It is a vector quangraphicy consisting of an angular speed component and either of two defined directions or senses.Dec 24 2011 Angular velocity can be considered to be a vector quangraphicy with direction along the axis of rotation in the right-hand rule sense. Angular motion has direction graphicociated with it and is inherently a vector Status ResolvedAnswers 9

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