cylindrical coordinate system and its transformation to cartesian or rectangular coordinate system

A cylindrical coordinate system is used for cylindrical symmetrical problems (examples, cables, machine rotor etc.). This system does not have axes like cartesian coordinate system.

Any point P ( r, Θ ,z ) is represented by the intersection of three  mutually orthogonal surfaces.

where r the radius of a cylinder.

Θ is the azimuthal angle and

z is the constant plane is same as in cartesian coordinate system.

Representation of unit vectors in cylindrical coordinate system:

The three unit vectors can be represented as ri, Θj, zk. Continue reading “cylindrical coordinate system and its transformation to cartesian or rectangular coordinate system”