Any idea on latitude question?

  • Thread starter tubworld
  • Start date
  • #1
39
0
I have this problem here.
Let's say: A plumb bob does not hang exactly along a line directed to the center of the Earth's rotation. How much does the plumb bob deviate from a radial line at 40 degrees north latitude if we assume that the earth is spherical?
 

Answers and Replies

  • #2
Astronuc
Staff Emeritus
Science Advisor
18,825
2,055
One needs to establish the force component due to the angular acceleration of the plumb bob's mass at the point on the earth at 40° latitude.

F = m[itex]\omega^2[/itex]r, where r is the distance from the earth's axis to the plumb bob.
 
  • #3
39
0
???? Huh???
 
  • #4
Doc Al
Mentor
44,959
1,223
In the rotating frame of the earth there are three forces on the bob: the tension in the string (a passive force), gravity (which acts towards the center of the earth), and a centrifugal force that Astronuc described (which acts outward from the earth's axis). If you add up the gravitational force and the centrifugal force, that resultant will tell you how the string must be aligned to support the bob.
 

Related Threads on Any idea on latitude question?

  • Last Post
Replies
8
Views
5K
Replies
18
Views
816
  • Last Post
Replies
3
Views
4K
Replies
0
Views
4K
  • Last Post
Replies
10
Views
2K
Replies
3
Views
1K
Replies
1
Views
5K
  • Last Post
Replies
9
Views
4K
Replies
5
Views
2K
Top