Centripetal acceleration/ angular velocity question

[carsonk152]

This is my first post on here so let me know if I need to provide more info.

Homework Statement

A proposed space station includes living quarters in a circular ring 52.5 m in diameter. At what angular speed should the ring rotate so the occupants feel that they have the same weight as they do on Earth?

Homework Equations

r=c/2Pi
a(centripetal)= v²/r => v=sqrt( a_c*r
Δ∅=s/r

The Attempt at a Solution

r=52.5/2*Pi= 8.356
v= sqrt(9.81*8.356)=9.0538
Δ∅=9.0538/8.356=1.084 rad/sec

This was my first attempt at the problem but I was returned that the answer is wrong, any ideas on what I did?

 

[carsonk152]

Just kidding I realized I confused the diameter with the circumference, of course it's always the little things...