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what is velocity vector for a rotational motion?

Dear Student,

Please find below the solution to the asked query:

Rotational Velocity vector is called Angular Velocity.

As we represent the linear velocity in the case of translational motion, we represent the velocity vector for the rotational motion case. The direction of these angular vectors is perpendicular to the plane of rotation.

If the particle moving in a circle of radius r about a centre with speed v as shown in the below diagram.


Here the angular velocity vector will be out of the plane. The relation between Linear Velocity & Angular Velocity is,

v→=r→×ω→

We can define the Angular Velocity as,

The rate of change of Angular displacement.

ω=dθdt
Units of Angular Velocity are rad/sec.
 

Hope this information will clear your doubts about the topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards

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Uniform circular motion can be described as the motion of an object in a circle at a constant speed. As an object moves in a circle, it is constantly changing its direction. At all instances, the object is moving tangent to the circle. Since the direction of the velocity vector is the same as the direction of the object's motion, the velocity vector is directed tangent to the circle as well. The animation at the right depicts this by means of a vector arrow.

An object moving in a circle is accelerating. Accelerating objects are objects which are changing their velocity - either the speed (i.e., magnitude of the velocity vector) or the direction. An object undergoing uniform circular motion is moving with a constant speed. Nonetheless, it is accelerating due to its change in direction. The direction of the acceleration is inwards. The animation at the right depicts this by means of a vector arrow.

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