physics
posted by ayoola on .
What is the orbital radius and speed of a synchronous satellite which orbits the earth once every 24h?

synchronous? Would it travel one revolution per day?
Period=24 hr=24*3600seconds
speed=2PI*radius/period.
Now we know gravity is the attractive force...and it equals centripetal force.
GMeMs/r^2=Ms*v^2/rad
GM3Ms/r^2=Ms (2PI radius/period)^2/radius
and you can solve for orbital radius with a little algebra. Then use that to solve for speed.