Posted by Mike on .
A geosynchronous equatorial orbiting satellite orbits 22,300 miles above the equator of Earth. It completes one full revolution each 24 hours. Assume Earth's radius is 3960 miles. a. How far will the GEO satellite travel in one day? b. What is the satellite's linear velcoity in miles per hour?

Math 
Michael,
a. The GEO satellite's path is circular. The distance on a circular path is the circumference. C = 2 (pi) (r) = 2 (pi) (3960) = 7920pi
b. Distance = Rate * Time
Rate = Distance/Time = 7920pi / 24 hours = 330pi
I'm 100% sure on a, 90% on b. 
Math 
Reiny,
for b)
linear velocity = angular velocity x radius
the angl vel. = 2pi/24 rad/hr
so linear vel. = 2pi/24(26260) miles/hr
= 6875 mph