Determine the maximum radial stress and the maximum hoop stress in an aluminium thin flywheel with an internal radius of 100 mm and an external radius of 300 mm, and rotating at an angular speed of 3000 rpm. Where in the flywheel do these stresses occur? What is the change in the internal diameter of the flywheel? Take the density of aluminium to be p = 2700 kg/m, Young's modulus E = 70 GPa, and the Poisson's ratio V = 0.34.