Finding Speed of Satellite in Geosynchronous Orbit

[Lance WIlliam]

Homework Statement

Find the speed of a satellite in geosynchronous orbit?

in finding the speed for geosnychronous orbit the Time is 1 day, or 24hours , 86400 seconds.
I tried using
T^2=4(pi)^2(r)^3/GM is the eqn.
I manipluated it into:

r=(GM_earth_T/4(pi)^2)1/3

Once I found r I used it as Distance and then used:
V=D/T
...

i think my units are wrong. When using the eqn. does ur distance come out in meters or Kilometers?

 

[Astronuc]

It would help if one would right out the values for G, M, T.

They should all be consistent in m, kg, s (meter, kilogram, second).

 

[Lance WIlliam]

But is my process right?
Once I find 'r" do I use v=d/t to find the speed?

 

[Barny]

I disagree with you expression for the radius, In my opinion you are missing a set of brackets or have made a mistake in your powers. Then as Astronuc said, to check the units simply substitute in their values to check the units cancel down.

Have you considered using angular velocity to solve for the speed?