A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a $364-$mile trip in a typical midsize car produces about $3\mathrm{.}69{10}^{9}J$ of energy. How fast would a $15\mathrm{.}5-kg$ flywheel with a radius of $0\mathrm{.}228$ m have to rotate to store this much energy? Give your answer in rev$/$min$.$