Asatellite in a circular orbit 844.5 mi above the earth makes one complete orbit every 85.22 min. what is its linear velocity in mi/min? use 3963 mi for the length of the radius of the earth and round to the nearest hundredth of a mile per minute.

354.5 mi/min

Explanation:

from the question we are given the following:

distance from the surface of the earth (s) = 844.5 mi = 1359091 m

radius of the earth (r) = 3963 mi = 6377830

time = 85.22 min = 5113.2 s

linear velocity = ?

distance of the satellite from the center of the earth (R) = 1359091 + 6377830

= 7736921 m

angular velocity =

where θ = 2π

angular velocity = = 0.00123

linear velocity = angular velocity x distance of satellite from the earth

linear velocity = 0.00123 x 7736921  

= 9507.3 m/s x  60/309.34 = 354.5 mi/min