Your team is helping to design an orbiting space station. The station will be in the shape of a wheel 20 in diameter with essentially all of its 2×105 mass contained in the rim portion of the wheel (the mass of the spokes is negligible). Once the station is completed, it will rotate at a rate such that a person working in the wheel will experience a simulated gravitational force equal to that of Earth; that is, the normal force of the floor on an occupant would be equal to . When the station is finished, it will be necessary to set it rotating at the required rotation rate to produce this "artificial gravity." This is accomplished by firing four small thruster rockets attached symmetrically to the outer wall of the wheel. The rockets will fire for 9 hours to bring the station "up to speed." Your task is to determine the thrust, or force, each rocket must have to produce the required rotation rate in this amount of time. You may assume the station starts rotating from rest.
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