The design of a concept vehicle is intended to allow it to o…

The design of a concept vehicle is intended to allow it to obtain energy from a rotating flywheel (solid disk), which has a radius of 2.00 m and a mass of 500 kg. Initially, the flywheel attaches to an electric motor in order to bring the flywheel’s rotational speed up to 7500 rev/min. What is the amount of stored kinetic energy in the flywheel in joules? How much time in hours could the vehicle continue to run before the flywheel would need to be brought back up to speed if the flywheel was used to supply energy to the car in the same way as a 25.0 hp motor? (Remember: 1 hp = 746 W and \(I = \frac{1}{2}mr^{2}\) for a solid disk)