Question: A communications satellite moves in a circular orbit around Earth at a distance of 42,000 kilometers from the center of Earth. The angular velocity is

A communications satellite moves in a circular orbit around Earth at a distance of 42,000 kilometers from the center of Earth. The angular velocity

de dt = @= TT 12 radian per hour

is constant.
(a) Use polar coordinates to show that the acceleration vector is given by

where ur = cos θi+sin θj is the unit vector in the radial direction and uθ = -sin θi + cos θj.

(b) Find the radial and angular components of acceleration for the satellite.

de dt = @= TT 12 radian per hour

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