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3 November, 15:21

A satellite orbits at a distance from the Earth's center of about 2.60 Earth radii and takes 5.89 hours to go around once. What distance (in meters) does the satellite travel in one day?

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  1. 3 November, 16:04
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    424088766.068 m

    Explanation:

    Radius of the circular orbit that the satellite is 2.6 Earth radii (r) = 2.6 R

    R = Radius of earth = 6371000 m (mean radius)

    In order to find the distance that the satellite travels in 5.89 hours to complete one complete revolution is the circumference of the circular orbit

    Circumference of a circle = 2*π*r

    ⇒Distance travelled in 5.89 hours = 2*π*2.6 R

    ⇒Distance travelled in 5.89 hours = 2*π*2.6*6371000

    ⇒Distance travelled in 5.89 hours = 104078451.3393m

    Distance travelled in 1 hour = 104078451.3393/5.89 = 17670365.252 m

    ∴ Distance travelled in 24 hours = 17670365.252*24 = 424088766.068 m
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