A wheel is rotating freely with an angular speed of 4840rad/s on a shaft whose moment of inertia is negligible. A second wheel, initially at rest and with 8 times the rotational inertia of the first is suddenly coupled to the same shaft.
a) What is the angular speed of the resultant combination of the shaft and two wheels? answer in units of rad/s
b) What is the ratio of the final kinetic energy to the initial kinetic energy of the system?