1- a relaTion between linear and angular velocities?

Question

1- a relaTion between linear and angular velocities?

Answer 1

For an object rotating about an axis, every point on the object has the same angular velocity =w

The linear velocity, v,of a point on the object = w r where r is the distance from the axis of rotation.

Do you need a vector notation too? Then (vector w) = (vector r) X (vector v)

This is the cross product of two vectors. The (vector w) points perpendicular to the two other vectors according to the right hand rule.