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In a non-uniform circular motion if I have two components of a vector in cartesian coordinates then how to find the tangential and radial components of a vector. For example ;

I have Vx and Vy as horizontal and vertical components of a vector V respectively. Vx and Vy can lie in all for quadrants.

First I convert this into polar form as

|V|=sqrt(Vx^2 + Vy^2)

Tangent (angle)=(Vy/Vx)

From this conversion from cartesian to polar coordinates that I have found out now, how can I find the Tangential and radial components of the Vector V in polar coordinates or saying in other way that if I have two components of a vector in cartesian coordinates then from this information how can I find the two components of that vector in polar coordinates.

Immediate help is needed SOS!