A resourceful physics student decides to build a device to lower him from his 3 story window safely. He begins with a heavy flywheel mounted on a frictionless axle which is attached to the roof. The flywheel has a diameter 82.0 cm He wraps a long rope around the outside of the flywheel and attaches a handle to the free end. Grabbing the free end he descends from rest a distance 7.00 m in a time of 6.10 s. If the mass of the physics student is 72.0 kg, what is the moment of inertia of the flywheel