Got a doosie here, Angular acceleration, time and radius.

AI Thread Summary
An Earth satellite orbits at a speed of 6200 m/s, prompting a discussion on calculating its orbital period and radial acceleration. The relevant equations include centripetal acceleration (Ac = V^2/R) and the relationship between speed, radius, and time (V = 2(pi)R/t). The original poster expresses confusion about the necessary variables, particularly the radius of the orbit and whether to use Earth's gravity for calculations. Participants suggest revisiting the unit circle to clarify the concept of one rotation. The discussion highlights the need for additional information to solve the problem effectively.
GRice40
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Homework Statement


An Earth satellite moves in a circular orbit with an orbital speed of 6200 m/s. Find the time of one rotation as well as the radial acceleration of the satellite in orbit.


Homework Equations


Ac= V^2/R
mAc=mg
V= 2(pi)R/t


The Attempt at a Solution



Ok, I've gone every which way I can with this problem. I don't know how to go about it. I've drawn an FBD and the only forces I can see acting on it are the weight of the satellite and the Ac. I don't know if there is supposed to be another variable that is assumed, like the radius of the earth, or if gravity acts upon the satellite at 9.8 m/s^2 like it would on earth...I'm pretty lost here. Any advice on how to start?
 
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I believe the orbital speed is the tangential speed of the satellite.

What is one rotation? (quickly, go back to your unit circle!)
 
One rotation is 2(pi) radians, iirc.
 
I still don't know where to go from there, it seems like I need another variable somehow...
 

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