# Angular/Linear Velocity Problem

1. Aug 19, 2009

### controlfreaks

1. The problem statement, all variables and given/known data
A satellite is orbiting at 3000Km above the equator so that's it's angular velocity is the same as Earths. Assuming the Earth to be a sphere of radius 6400Km, estimate the linear velocity of the satellite relative to the centre of the Earth given that the Earth rotates exactly once every 24 hours.

2. Relevant equations

3. The attempt at a solution
This is a problem someone asked me to help with but it's been so long since i was in college i'm finding it hard to remember what equations i should be going for.

Can anyone give me the equations i would need to solve this problem?

2. Aug 19, 2009

### Staff: Mentor

Last edited by a moderator: Apr 24, 2017
3. Aug 19, 2009

### controlfreaks

how do i use the period of the earth to find out the angular velocity?

4. Aug 19, 2009

### Staff: Mentor

How many radians does the earth turn through in one period?

You can also figure out the linear velocity directly, without bothering with angular velocity. What distance does the satellite travel in one orbit? How much time does it take?

5. Aug 20, 2009

### controlfreaks

so would it be that the angular velocity is equal to 2pi divided by time taken?

6. Aug 20, 2009

yuP =)