What is the Centripetal Acceleration of an Earth Satellite in a Circular Orbit?

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Homework Help Overview

The discussion revolves around calculating the centripetal acceleration of an Earth satellite in a circular orbit, specifically at a distance of four times the Earth's radius. Participants are exploring the relevant formulas and concepts related to gravitational force and acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants suggest using the gravitational force formula and considering the inverse square law to relate the acceleration at different distances. Others question how to determine the distance from the Earth's core to the satellite and discuss the implications of the given radius ratio.

Discussion Status

The discussion is active, with participants offering various perspectives on how to approach the problem. Some guidance has been provided regarding the use of ratios and the gravitational force formula, although there is no explicit consensus on a single method to solve the problem.

Contextual Notes

Participants note that the mass of the satellite is not provided, which may limit the use of certain formulas. The problem's parameters are based on the given ratio of distances rather than specific numerical values.

thomasrules
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i don't know what formula to use... I know that F=Gm1m2/d^2

An Earth satellite travels in a circular orbit of radius four times the Earth's radius. Calculate its acceleration in m/s^2.
 
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You can solve it by looking at the acceleration due to gravity on the Earth's surface and the ratio between Core to Surface :: Core to Satellite orbit. Since F is inversely proportional to distance^2, it should be 16 times weaker.
 
hm,mmmmmmm
 
how do i find the distance from core to satelite
 
The problem says it's 4 times more than the Earth's radius...

Daniel.
 
You are told in the question that it was 4 times the Earth's radius. You don't need the actual figures. The ratio 4:1 is enough to solve the question. But you might also try using that formula to calculate the force on the satellite. But you can't use it if you don't have the mass of the satellite. And from what you said in ur first post, i deduce that ur not given that.

PS. heh he beat me. I type too much. :biggrin:
 
Well, isn't it just the centripetal acceleration of the satellite??
Because then you can take the orbital speed and square it then divide it by 4r?
 

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