Answer :
The station is rotating at 1.80 revolution / minute.
Explanation:
For calculating the velocity v,
Apparent gravity = v^2 / r
2.30 = v^2/r
2.30 [tex]\times[/tex] 64.5 = v^2
v = 12.2 m/s .
Time for revolution = 2 π r / v
= (2 [tex]\times[/tex] 3.14 [tex]\times[/tex] 64.5) / 12.2 = 33.2 seconds
= 0.553 minutes .
For converting to revolution per minute, divide one by the value in minutes.
1 / 0.553 = 1.80 revolution / minute.