Question

what should be the radius of space station spinning with an angular speed of 2 rpm such that an astronaut inside the station experience artificial gravity with g 10 ms-1

Answer 1

F=m*g; gravity force
F=m*w^2*R; centrifugal force

m*g=m*w^2*R

w=2 rpm
g=10 m/s

R=(m*g)/(m*w^2)=g/w^2=10/(2/60)^2=10*300=9000 m

Answer:
radius of a space station should be - 9000 m