SOLUTION: thw time in hours it takesa a satellilite to complete an orbit around the earth varies directly as the radius of the orbit from the center of earth and inversly as the orbital velo

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Question 427592: thw time in hours it takesa a satellilite to complete an orbit around the earth varies directly as the radius of the orbit from the center of earth and inversly as the orbital velocity . if a satellite completes an orbit 780 miles above the earth in 11 hours at a velocity of 25000 mph, how long would it take a satellite to complete an orbit if it is at 1700 miles above the earth at a velocity of 32000mph? use 3960 miles as the radius of the earth and round your answer to the nearest hundreth of an hour.
Answer by lwsshak3(11628) About Me  (Show Source):
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thw time in hours it takesa a satellilite to complete an orbit around the earth varies directly as the radius of the orbit from the center of earth and inversly as the orbital velocity . if a satellite completes an orbit 780 miles above the earth in 11 hours at a velocity of 25000 mph, how long would it take a satellite to complete an orbit if it is at 1700 miles above the earth at a velocity of 32000mph? use 3960 miles as the radius of the earth and round your answer to the nearest hundreth of an hour.
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You can solve this simply with proportions:
(1700+3960)/(780+3960)*(25000/32000)*11=hours to complete orbit
(5660/4740)(25000/32000)(11)=10.26 hours
ans:
It takes a satellite 10.26 hours to complete an orbit around the earth if it is at 1700 miles above the earth at a velocity of 32000 mph