It is common in Sci-Fi movies to see rotating space stations. If there were a cylindrical space station with a diameter of one mile...

a.

What angular velocity (in radians per second) would it have to have to create a centripital acceleration for someone standing on the inside of the outer rim equal to the acceleration due to gravity on Earth(g)?

b.

How long would each rotation be (what is its period)?

• Hint:
• Solution:part a.
• Solution:part b.