Angular/Linear Velocity Problem

[controlfreaks]

Homework Statement

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.

Homework Equations

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?

 

[Doc Al]

For circular motion, linear and angular speeds are related by v = ωr, where ω is the angular velocity. What's the angular velocity of the earth? (ω is measured in radians/sec, by the way.)

See: http://hyperphysics.phy-astr.gsu.edu/Hbase/rotq.html#avel"

 

[controlfreaks]

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

 

[Doc Al]

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

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?

 

[controlfreaks]

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

 

[queenofbabes]

yuP =)