A 56 kg astronaut stands on a bathroom scale inside a rotating circular space station. The radius is 250 m and the bathroom scale reads 42 kg At what speed does the space station does the floor rotate

Answer 1

the centripetal force is ... 42/56 g

v^2 / 250 m = 42/56 * 9.8 m/s^2

this is the tangential velocity

if you want rpm, multiply by 60 (sec to min); and divide by the station circumference