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## 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!!!