Question

A.) Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 592 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm).

B.) Same situation as in Question 4 above; this time, the space station as a radius of 1071 m. And this time, the amount of artificial gravity you experience is 14.4 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm).

Answer 1

part A

centrifugal acceleration will have to be created which will act as the artificial gravity, therefore, centripetal acceleration is given by

here r=592 m

ac=9.81 m/sec2, putting these values

converting it into rpm

answer

part B

again using the same formula

putting the given values

converting it into rpm

answer