The "Human Roulette Wheel" at steeplechase park on Coney island was a horizontal spinning wheel with a radius of 3.00 m. Passengers would try to climb toward the center where the centripetal acceleration was smaller and the passenger would be more able to stay on the wheel. Suppose the wheel is set to spinning at an angular speed of 2.00 rad/s and then is allowed to spin freely without any external torque applied to it. Four students, each 90 degrees from the next, sit on the rim of the wheel and then crawl at the same speed toward the center of the wheel. When they reach the wheel's center, they are 0.20 m from the axis of rotation. At this point the angular speed of the wheel is 2.35 rad/s. If the students each have a mass of 55 kg, what is the moment of inertia of the wheel?