Question

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 = 3.85. Each chamber A simulates an acceleration due to gravity of 10.0 m/s2.


(a) Find rA.
_____m
(b) Find rB.
_____ m
(c) Find the acceleration due to gravity that is simulated in chamber B.
_______ m/s2

Answer 1

For a)

10m/s^2=angular veloicty^2 * radiusA
change .85rpm to radians/sec, and then solve for radiusA.
Then solve for radiusB given the ratio.
Then assuming the rotation is the same,
g=angularvelocity^2*radiusB (it ought to be 3.85 times as much)