A GPS satellite is orbiting 15,000 miles above the center of the earth. If the satellite circles the earth in 12 hrs, how fast must it be traveling (mph)

7853.98 miles per hour

Explanation:

Data provided in the question:

Distance of the GPS satellite from the center of the earth, r = 15,000 miles

Time taken to circle around the Earth = 12 hours

Now,

The total distance covered by the satellite while it circles around the Earth

= 2πr

= 2 * π * 15,000

= 94247.78 miles

Therefore,

The speed of travel of satellite = Distance covered : Time taken

= 94247.78 : 12

= 7853.98 miles per hour