Components of Earth's angular velocity vector

[captainjack2000]

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!

 

[latentcorpse]

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.

 

[captainjack2000]

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?

 

[Welshy]

More Edinburgh people! It's only 2 marks. But yeah it's that easy.