To drive a typical car at 40 mph on a level road for one hour requires about 3.2 x 10^7 J of energy. Suppose one tried to store this much energy in a spinning solid cylindrical flywheel which was then coupled to the wheels of the car. A large flywheel cannot be spun too fast or it will fracture. If one used a flywheel of radius 0.60 m and mass 400 kg, what angular speed would be required to store 3.2 x 10^7 J? ( Incidentally, 2500 rpm is about the maximum feasible rate of revolution with present materials technology for such a flywheel)
A) 943 rad/s
B) 3620 rad/s
C) 530 rad/s
D) 5470 rad/s
E) 1800 rad/s