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To create artificial gravity, the space station shown in the drawingis rotating at a rate of 0.720 rpm. The radii of the cylindrically shaped chambers have the ratio rA/rB = 4.00. Each chamber A simulates an acceleration due to gravity of 5.70 m/s2. Find values for (a) rA, (b) rB, and (c) the acceleration due to gravity that is simulated in chamber B.(THE DRAWING SHOWS THREE CHAMBERS, WITH THE TWO OUTER CHAMBERS BEING A'S AND THE MIDDLE BEING B)

Here's what I've done so far..

mg=mv^2/r and m's cancel out

therefore g=v^2/r

5.70m/s2 = v^2/r(a)

(.720rev/min)*(2pi*r(a)/1rev)*(1min/60 sec) = 2pi*r(a)/60s which is m/s

Since 5.70m/s2 = v^2/r, 5.70= [(2pi*r(a)/60)^2]/r(a)

Anyway after solving for r(a),i get 519.777

That's incorrect. I can't continue untill I get r(a). CAN SOMEBODY OUT THERE PLEASE HELP ME. I'M DESPERATE.

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# Homework Help: I'm desperate for help!

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