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1. The problem statement, all variables and given/known data

A satellite is in a circular orbit 11000 km

above the Earth’s surface; i.e., it moves on a

circular path under the influence of nothing

but the Earth’s gravity.

A) Find the speed of the satellite. The radius

of the Earth is 6.37 × 106 m, and the accel-

eration of gravity at the satellite’s altitude is

1.3225 m/s^{2}.

Answer in units of km/s.

B) Find the time it takes to complete one orbit

around the Earth.

Answer in units of s.

2. Relevant equations

V= 2 pi r / T

a= v^2/r

T= V/ 2 pi r

3. The attempt at a solution

First I found the hypotonus between the earth and the orbit so I can find the radius of the latitude of the orbit. I got 6370 km. Then I converted the acceleration from m/s^{2}to Km/s^{2}and I got: .0013225 km/s^{2}. Then to find the velocity I did

V= ((.0013225)(6370))^{(1/2)}= 2.902 Km/s

for the time I got 7.2681x10^{-5}s.

and both answers were wrong.

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# Homework Help: Uniform Circular Motion of a satellite

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