Answer:
8%
Step-by-step explanation:
The maximum change happens when all 500 people moves form outer surface to the station center. When all of them are at the surface, the total moment of inertia is:

When they are at the axis, the total moment of inertia is only the station's, which is 
By the law of angular momentum conservation:


So the angular speed changes by 0.08 of itself, or 8%
The length of the side of the original square is 7cm
Displacement(d)=0.2m
Time taken(t)= 30 s(1min=60 s)
Velocity (v)=?
We know that,
Velocity (v) = d/t
=0.0067
We can solve for x by raising both sides to the -3 power (which is the reciprocal of -1/3):
(c^-1/3)^-3 = x^-3
c^1=x^-3
c=x^-3
Since the exponent on the x is a negative, we have to move it to the denominator to make it positive:
c= 1/x³