Calculating Artificial Gravity in Rotating Space Station

AI Thread Summary
The discussion focuses on calculating artificial gravity in a rotating space station, specifically using a rotation rate of 0.85 rpm and a radius ratio of rA/rB = 3.80. Chamber A simulates an acceleration of 10.0 m/s², and the user seeks to determine the values for rA and rB, as well as the simulated gravity in chamber B. The formula for artificial gravity, (mv²)/r, is mentioned as a potential starting point, but the user expresses uncertainty about applying it given the radius ratio. The conversation emphasizes the need for guidance on how to approach these calculations effectively. Understanding the relationship between the radii and the acceleration will be crucial for solving the problem.
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To create artificial gravity, the space station shown in the drawing is rotating at a rate of 0.85 rpm. The radii of the cylindrically shaped chambers have the ratio rA/rB = 3.80. Each chamber A simulates an acceleration due to gravity of 10.0 m/s2.


Find values for the following.
(a) rA
_________________m
(b) rB
_________________m
(c) Find the acceleration due to gravity that is simulated in chamber B.
_________________m/s2


PLEASE HELP!
 
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i have no idea as to where to start on this...

i know that a formula to help find artificial gravity is (mv^2)/r but i am not sure how to apply this formula to the problem given that ratio... any suggestions?? i am desperate!
 

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