1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: How to convert cylindrical coordinate to cartesian coordinate?

  1. Oct 27, 2008 #1
    1. The problem statement, all variables and given/known data
    Cylindrical: (5,5,53.2)
    Cartesian = ??

    How bout Cartesian to coordinate?
    Any websites that shows all the conversions?
     
  2. jcsd
  3. Oct 27, 2008 #2

    HallsofIvy

    User Avatar
    Science Advisor

    Cylindrical coordinates is just polar coordinates in the xy-plane together with the z coordinate. Do you know [itex]x= r cos(\theta)[/itex] and [itex]y= r sin(\theta)[/itex].
    Then [itex]x^2+ y^2= r^2 cos^2(\theta)+ r^2 sin^2\(theta)= r^2[/itex]. Also, dividing one equation by the other, [itex]y/x= (r sin(\theta))/(r cos(\theta))= tan(\theta)[/itex]. Putting that all together,

    [tex]r= \sqrt{x^2+ y^2}[/tex]
    [tex]\theta= tan^{-1}(\frac{y}{x})[/tex]
    z= z
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook