given radius of earth R = 6400 km
height of the shuttle, h = 500 km from the surface of the earth
a. given acceleration due to gracity at the orbit of the shuttle
, g = 8.5 m/s/s
let shuttle speed be v
then
v^2/(R + h) = g
v^2 = g(R + h) = 8.5(6400 + 500)*10^3
v = 7658.328 m/s
b. let numebr of orbits made in 24 hours be n
then 2*pi*(R + h)*n = v*24*60*60
n = 7658.328*24*60*60/2*pi*(R + h)
n = 15.262 orbits in 24 hours
c. as the value of g = 8.5 m/s/s
also, in the frame of reference of the shuttle, the
outward centrifugal force ( due to non inertial frame of reference)
cancels this out and hence the astronauts feel weightlessnes
so the astronauts feel weightless because they and the
shuttle are in free fall when they are orbiting the earth
The space shuttle typically travels in a circular orbit at an altitude of 500 km above...
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