Angular velocity -velocity conversion

[torquemaster]

angular velocity --velocity conversion

I am a bit confused about angular velocity --velocity conversion . I thought of a problem in my mind which is as follows

There is a particle moving with velocity v in certain direction as shown in the figure.and I want to calculate the angular velocity wrt the reference point. is it vsin@/r.

and also is v=rw valid in any condition for angular velocity --velocity conversion . please explain the validity of this formulae I didnt understand what this formulae( v=rw ) actually means

 

[radou]

You can use the expression ω=(rxv)/r^2.