Question

writee relation between angular velocity tangential velocity and position vector

Answer 1

    Angular Velocity  Vector = tangential velocity vector × radius vector.

Mathematically, In symbols,

   ω (vector) = v (vector) × r (vector)

This will be correct relation.

Now there are some misconception s which i wants to discuss/ Like, we sometimes not apply vector sign on radius, but this will make our relation as wrong.

This is because, no vector sign means the magnitude and the magnitude of the radius is same, which means it is a constant.

This implies that the angular velocity vector is equal to the tangential velocity vector, which cannot be possible because direction of both are different, and vectors are only equal when they are equal in the magnitude as well as in the direction.