Components of Earth's angular velocity vector

In summary, the conversation is discussing how to find the components of the Earth's angular velocity vector using a coordinate system. The equations for apparent gravitational acceleration and the attempt at a solution are mentioned, and it is noted that the diagram for this can be found in the notes. The formula for w is also mentioned and it is stated that writing this down is worth 4 marks.
  • #1
captainjack2000
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0

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

1. What are the components of Earth's angular velocity vector?

The components of Earth's angular velocity vector are the rate of change of the Earth's rotation with respect to time, which includes the axial tilt, rotation around the sun, and rotation around its own axis.

2. How are the components of Earth's angular velocity vector calculated?

The components of Earth's angular velocity vector are calculated by measuring the Earth's rotation and its position relative to other celestial bodies, such as the sun, moon, and stars. This data is then used to determine the Earth's angular velocity vector.

3. What is the significance of the components of Earth's angular velocity vector?

The components of Earth's angular velocity vector are significant because they determine the Earth's rotation and its position in space. This affects the length of a day, the changing of the seasons, and the Earth's overall movement in the solar system.

4. How do the components of Earth's angular velocity vector affect the Earth's climate?

The components of Earth's angular velocity vector play a role in the Earth's climate by influencing the amount of solar radiation received at different latitudes, which in turn affects the Earth's temperature and weather patterns.

5. Are the components of Earth's angular velocity vector constant?

No, the components of Earth's angular velocity vector are not constant. They can vary over time due to factors such as changes in the Earth's rotation and orbit, as well as other external influences like gravitational forces from other planets or asteroids.

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