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)

Respuesta :

Answer:

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