Communications satellites are used to bounce radio waves from the earth\'s surfa

Q: Communications satellites are used to bounce radio waves from the earth's surfa

apply from F = ma = GmM/r^2 ma = mv^2/R v^2 = GM/r when satelite is fixed over the point on the earth, it will have same angular velocity as that of earth V^2 = r^2W^2 with W being 1 day = 1.15 e -5 sec^-1 ---------------- using this, h = r-R = (GM/w^2) ^1/3 -R h = (6.67 e -11 * 6 e 24)/(1.15 e -5*1.15 e -5) - 6.4 e 6 h = 1.34 e8 m

ID: 1336165 • Letter: C

Question

Communications satellites are used to bounce radio waves from the earth's surface to send messages around the curvature of the earth. In order to be available all the time, they must remain above the same point on the earth's surface and must move in a circle above the equator.

Part A

How long must it take for a communications satellite to make one complete orbit around the earth? (Such an orbit is said to be geosynchronous.)

Part B

Apply Newton's second law to the satellite and find its altitude above the earth's surface.

Explanation / Answer

apply from F = ma = GmM/r^2

ma = mv^2/R

v^2 = GM/r

when satelite is fixed over the point on the earth, it will have same angular velocity as that of earth

V^2 = r^2W^2

with W being 1 day = 1.15 e -5 sec^-1

----------------

using this,

h = r-R = (GM/w^2) ^1/3 -R

h = (6.67 e -11 * 6 e 24)/(1.15 e -5*1.15 e -5) - 6.4 e 6

h = 1.34 e8 m

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Communications satellites are used to bounce radio waves from the earth\'s surfa

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Communications satellites are used to bounce radio waves from the earth\'s surfa

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