Ascience fiction solution to the weightlessness of space is to have a rotating section of the ship (a cylinder) to simulate gravity. a) if the radius of the cylinder section is to be 50m, how fast would it have to spin to simulate the acceleration 2) of earth-gravity while you're standing still? (or more directly, what is the period of the rotating section, t- t 14.19s saturn's largest moon, titan, has promise for being a human colony. it has a titan-gravitational acceleration of 1.4 m/s2. astronauts want to use the same cylinder as above to slowly transition the astronauts into getting accustomed to titan's gravity over the course of the journey ( what should be the speed of a person standing in the cylinder compartment of the space ship to accomplish the transition, (v = period? ? -8.37 m/s, t = 37.55 s engineers anticipate that the initial speed up (and eventual slowdown) of the cylinder section is rough on the motors. they advise the section should be kept at a constant rotation. the solution is to make the compartment a cone that spins once every 30s. the astronauts can walk to different segments of the cone to b) c) experience different accelerations. where should they stand to experience earth-gravity, and titan-gravity? 223.4m, 31.9m aside: these designs have practical applications for astronauts so that they can exercise in space to maintain their muscle mass and bone density. furthermore, there are future applications in physical therapy due to the ability to control the magnitude of the simulated "gravity.