A rotating space station has radius 1310 m, measured from the center of rotation to the outer deck where the crew lives. What should the period of rotation be if the crew is to feel that they weigh one-half their Earth weight?

Answer 1

v^2/R =9.81/2
but v = 2 pi R/T
so
4 pi^2 R^2/(T^2 R) = 9.81/2

T^2= (8/9.81) pi^2 R