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!

Coordinate transformation under rotation

  1. Sep 2, 2009 #1
    If a system is rotated around Z axis then the new coordinates are X'= xcos() - Y sin(),

    Y'= Xsin() + Ycos()

    Z'= Z

    How is this obtained ??

    () --->theta , angle of rotation around Z axis .
     
  2. jcsd
  3. Sep 2, 2009 #2

    Hootenanny

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Simply look at rotating the basis vectors through an angle theta about the z-axis.
     
  4. Sep 2, 2009 #3
    i am nt getting it , need to know the mathematical derivation
     
  5. Sep 2, 2009 #4

    Hootenanny

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

  6. Sep 3, 2009 #5
    how to get that rotation matrix ??
     
  7. Sep 3, 2009 #6

    Hootenanny

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook