How Do You Calculate Earth's Angular Velocity in Its Orbit?

Click For Summary
To calculate Earth's angular velocity in its orbit around the sun, the radius of the orbit is given as 1.5*10^11 meters. The key to solving the problem lies in using the period of Earth's orbit, which is one year, to determine the angular velocity. The angular velocity can be calculated using the formula ω = 2π/T, where T is the orbital period in seconds. By converting one year into seconds, the angular velocity can be expressed in radians per second. Understanding the relationship between period, radius, and angular velocity is crucial for solving this problem.
ch2kb0x
Messages
31
Reaction score
0

Homework Statement



The radius of the Earth's very nearly circular orbit around the sun is 1.5*10^11.
Find the magnitude of the Earth's angular velocity in rad/s.

Homework Equations





The Attempt at a Solution


For this problem, I have no clue how to go about solving this. help would be nice.
 
Physics news on Phys.org
Hi ch2kb0x,

ch2kb0x said:

Homework Statement



The radius of the Earth's very nearly circular orbit around the sun is 1.5*10^11.
Find the magnitude of the Earth's angular velocity in rad/s.

Homework Equations





The Attempt at a Solution


For this problem, I have no clue how to go about solving this. help would be nice.

The extra thing to use in this problem is that you know the period of the motion (the time to make one complete revolution). Do you see how to use that to find the velocity and angular velocity?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 15 ·
Replies
15
Views
1K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 39 ·
2
Replies
39
Views
3K
Replies
25
Views
2K
Replies
3
Views
1K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K