A space station is to give artificial gravity to support the long-term stay of astronauts and cosmonauts. This is designed as a big wheel, with all the compartments in the rim, which is to rotate at a speed which will give an acceleration identical to that of terrestrial gravity for the astronauts (their feet will be on the within of the outer wall of the space station and their heads will be pointing in the direction of the hub). After the space station is joined in orbit, its rotation will be begun by the firing of a rocket motor fixed to the outer rim, which fires tangentially to the rim. The radius of space station is R = 80.5 m, and the mass is M = 2.13 • 105 kg. When the thrust of the rocket motor is F = 161 N, determine how long must the motor fire?