A light rope is wrapped several times around a large wheel with a radius of 0.405 m. The wheel rotates on frictionless bearings about a stationary horizontal axis. The free end of the rope is tied to a suitcase with a mass of 10.5 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.90 m/s when it reaches the ground.

Calculate the moment of inertia of the wheel. Express your answer in kilogram meters squared.