A rotating flywheel has been proposed as a means of temporarily storing mechanical energy in an automobile, providing an energy source for the car. The energy that can be stored in this way is limited by the size and weight of the flywheel and by the maximum angular velocity it can attain without flying apart. Suppose a solid cylindrical flywheel of radius80.0cm and mass90.0kg rotates at a maximum angular velocity of285rad/s. Find the maximum rotational energy of the flywheel. How many liters of gasoline would provide the same mechanical energy given that each liter provides8.5010⁶J of mechanical energy?