Find the relation between Linear Velocity and Angular Velocity.

Relation between Linear speed / velocity and angular speed / velocity of a particle performing circular motion
Angular speed gives the rate at which the central angle swept out by the object changes as the object moves around the circle, and it is thus measured in radian per unit time. linear speed is measured in distance units per unit time .

Consider a particle performing circular motion with radius ‘r’ in anticlockwise direction.
Let the particle moves from A to B in time δt.
Let δs be the linear displacement and δθ be the angular displacement.
Therefore δs = r × δθ

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Conclusion :
Linear speed = Radius × Angular speed
OR
Linear Velocity = Radius × Angular Velocity
The angular velocity is perpendicular to the plane of the motion. Its direction is given by the right hand rule.

Thus v , ω , r are mutually perpendicular and are related by equation