A space station in the shape of a uniform disk (mass 4.45x105kg, radius 262 m) rotates with period 86.1 seconds. There are also734 astronauts (whom you can treat as point particles) workinginside the space station, each of mass 155 kg, and all standing onthe outside rim and rotating with the station. Now, all theastronauts move to a conference room at the very center of thespace station. Find the new period of the rotation of the spacestation.