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Homework Help: Components of Earth's angular velocity vector

  1. May 2, 2009 #1
    1. The problem statement, all variables and given/known data
    Using a coordinate system in whic x and y are due east and nort of the city and z is the radial distance outwards from te centre of te earth, find the compnents of w the earth's angular velocity vector. You may assume that the latitude of the city is lamdba = 34degrees.

    2. Relevant equations
    I know that apparent gravitational acceleration g*=g-w x (w x r) and that gh* = w^2 rsin(lambda)cos(lambda) and gv* = g-w^2 r sin(lambda)^2. But I am not sure how to fit this all together to find w

    3. The attempt at a solution
    Any suggestions or help much appreciated!!!
  2. jcsd
  3. May 2, 2009 #2
    the diagram for this is in the notes. chapter 5 page 4. w is going vertically upward, mark on the x,y and z axes (into the page, toward north pole and radially outward respectively). now its just a case of projecting w onto the relative axes.
  4. May 2, 2009 #3
    So is it just w= wsin(lambda)j +wcos(lamdba)k as stated in section 6.3??? How is writing this down worth 4 marks?
  5. May 3, 2009 #4
    More Edinburgh people! It's only 2 marks. But yeah it's that easy.
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