To drive a typical car at $40$ mph on a level road for one hour requires about $3\mathrm{.}2\backslash$times $10^7$ J of energy. Suppose we tried to store this much energy in a spinning, solid, uniform, cylindrical flywheel. A large flywheel cannot be spun too fast or it will fracture. If we used a flywheel of diameter $0\mathrm{.}731$ m and mass $310\mathrm{.}4$ kg$,$ what angular speed would be required to store $3\mathrm{.}2\backslash$times $10^7$ J$?$ Give your answer in rad$/$s.