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Components of Earth's angular velocity vector

  • #1

Homework Statement


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.


Homework 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


The Attempt at a Solution


Any suggestions or help much appreciated!!!
 

Answers and Replies

  • #2
1,444
0
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.
 
  • #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?
 
  • #4
20
0
More Edinburgh people! It's only 2 marks. But yeah it's that easy.
 

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