Calculating Artificial Gravity in Rotating Space Station

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SUMMARY

The discussion focuses on calculating artificial gravity in a rotating space station, specifically with a rotation rate of 0.85 rpm and a radius ratio of rA/rB = 3.80. Chamber A simulates an acceleration due to gravity of 10.0 m/s². To solve for the radii of chambers A and B, as well as the simulated gravity in chamber B, users must apply the formula for centripetal acceleration, a = (mv²)/r, while considering the given ratio. This approach enables the determination of the required values for rA, rB, and the acceleration in chamber B.

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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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