A rotating space station creates artificial earth-like gravity. If the size of t
ID: 1882049 • Letter: A
Question
A rotating space station creates artificial earth-like gravity. If the size of the space station is enlarged, such that its radius increases by a factor of 4, what must happen to the speed of the station floor, so that the artificial earth-like gravity is maintained? O The speed of the station floor should decrease by a factor of 2. O The speed of the station floor should increase by a factor of 2. O The speed of the station floor should remain constant. O The speed of the station floor should decrease by a factor of 4. O The speed of the station floor should increase by a factor of 4.Explanation / Answer
The angualr speed of station floor is
w = sqrt a/R
since a = g
w = sqrt g/R
when radius increased by factor of four
w' = sqrt g/ 4R
= w/2
hence, speed of the station floor should decreases by factor of 2