Question: please show me how to solve symbolically while solving the problem 1. A flywheel is a solid disk that rotates about an axis that is

please show me how to solve symbolically while solving the problem

please show me how to solve symbolically while solving the problem 1.

1. 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 292-mile trip in a typical midsize car produces about 2.12 * 10 ^ 9 of energy. How fast would a 6.53-kg flywheel with a radius of 0.485 m have to rotate to store this much energy? Give your answer in rev/min. 2. A solid sphere is rolling on a surfaceWhat fraction of its total kinetic energy is in the form of rotational kinetic energy about the center of mass? 3. A marble and a cube are placed at the top of a ramp. Starting from rest at the same height, the marble rolls without slipping and the cube slides (no kinetic friction) down the ramp. Determine the ratio of the center-of-mass speed of the cube to the center-of-mass speed of the marble at the bottom of the ramp

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