1. The problem statement, all variables and given/known data As a spacecraft of diameter 2.8km approaches Mars, the astronauts want to experience what their Mars-bound weight will be. What should the period of rotation be to simulate an acceleration due to gravity of magnitude 3.8 m/s2 ? Mass of Mars = 6.37*1023 Radius of Mars = 3.40*106 2. Relevant equations (1) Fg = (GMm)/r2 (2) ac = (mv2)/r (3) T = (2∏r)/v 3. The attempt at a solution Fg = ac (GMm)/r2 = (mv2)/r Solving for v v = √((GM)/r) Sub v into eqn. (3) T = (2∏r)*(√(r)/√(GM)) T = (2∏r(3/2))/√(GM) And that's as far as i got cause i'm not sure what to do with the given information... The answer is 1.2*102s.