Cylindrical Coordinates

#Math
Projection onto $\displaystyle xy$ plane is just polar coordinates

$\displaystyle (x,y,z)=(r\cos \theta,r\sin \theta,z)$

• Conversion from cylindrical coordinates to rectangular coordinates

$\displaystyle (r,\theta,z)=\left( \sqrt{ x^{2}+y^{2} },\tan ^{-1}\left( \frac{y}{x} \right) ,z\right)$

• Conversion from rectangular to cylindrical coordinates

$\displaystyle J_{\text{polar}}=J_{\text{cylindrical}}=r$