The angular velocity of the disk must be 2.25 rpm
Explanation:
The centripetal acceleration of an object in circular motion is given by

where
 is the angular velocity
 is the angular velocity
r is the distance of the object from the axis of rotation
For the space station in this problem, we have
 is the centripetal acceleration
 is the centripetal acceleration
The diameter of the disk is
d = 175 m
So the radius is

So, a point on the rim has a distance of 87.5 m from the axis of rotation. Therefore, we can re-arrange the previous equation to find the angular velocity:

And this is the angular velocity of any point along the disk. Converting into rpm,

Learn more about circular motion:
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