What speed should it be spun to create a centripetal force that mimics earth’s gravitational force?

Question

An artificial space habitation is constructed away from any large bodies.
It is constructed with lightweight aluminum, in a cylindrical shape, with a radius
of 1000m. What speed should it be spun to create a centripetal force that
mimics earth’s gravitational force?

Answer 1

You want the centripetal acceleration to equal the acceleration of earth's gravity at sea level.

 

g = a_c 

 

a_c = v²/r

 

g = v²/r

 

v = √(rg) = √[(1000 m)(9.81 m/s²)] ≅ 99.05 m/s