physics help ?

A space station in the form of a large wheel,
281 m in diameter, rotates to provide an “artificial gravity” of 4.6 m/s
2
for people located
on the outer rim.
Find the rotational frequency of the wheel
that will produce this effect.
Answer in units of rpm

oubaas2020-11-22T21:49:41Z

4.6 = ω^2*281/2
ω = √ 9.2/281 = 0.181 = 2PI*f 
n = 60f = 60*0.181/6.2832 = 1.73 rpm