posted by kia on .
As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2. In their training, astronauts ride in a device where they experience such an acceleration as a centripetal acceleration. Specifically, the astronaut is fastened securely at the end of a mechanical arm that then turns at constant speed in a horizontal circle. Determine the rotation rate, in revolutions per second, required to give an astronaut a centripetal acceleration of 3.44g while in circular motion with radius 9.87 m.
acceleration= w^2 r
3.44*9.8=w^2 * 9.87
solve for w (in radians per second).
divide that by 2PI to get rps