The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit above the earth in at a velocity of how long would it take a satellite to complete an orbit if it is at above the earth at a velocity of (Use as the radius of the earth.) Round your answer to the nearest hundredth of an hour.

It takes a satellite 12.93 hours to complete an orbit around the earth if it is at 1500miles above the earth at a velocity of 38,00mph. This is the time taken.

How to calculate the time?

Taking 3960miles to be the radius of the earth, we use simple proportions to solve

(1500+3960)/(660+3960) × (32000/38000)× 13 = T in hours to complete orbit.

T=(5460/4620) × (32/38) ×13

T= 12.93hours

Therefore, the time taken is 12.93hours.

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The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit 660 miles above the earth in 13 hours at a velocity of 32,000 mph, how long would it take a satellite to complete an orbit if it is at 1500 miles above the earth at a velocity of 38,000 mph?