Question

A space station, in the form of a wheel 135 m in diameter, rotates to provide an "artificial gravity" of 3.00 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of rotation of the wheel (in revolutions per minute) that will produce this effect.

Answer 1

the artificial gravity is based on the centrifugal force m•(w^2)•r produced as shown.

plus if mg* = m•(w^2)•r, then g* = (w^2)•r {where g* is this artificial gravity}

ie the artificial gravity will be the same for all masses.

remember to adjust w from rad/s to rev /min in your answer.