posted by ma on .
What is the angular velocity in radian per second of a satellite that has an orbital velocity of 9000 m.s^-1, orbiting at a distance of 6500 km from the center of the earth
The angular velocity is V/R. The length units of V and R must be the same.. let's say meters.
angular velocity = (9000 m/s)/6.5*10^6 m
= 1.38*10^-3 radians/s
That satellite is a rather low one, since the Earth's radius is 6378 m, only 122 km (75 miles) less than the orbit radius. Satellites do not last long in such low orbits.