2. A merry-go-round at an amusement park is powered by a motor that starts it rotating from rest and keeps it rotating at a maximum rate of 1 rotation every 5 seconds. It reaches this maximum rate in 10 seconds once the motor turns on. Your friend is a mechanical engineer and estimates that the rotational inertia of the merry-go-round is equal to 0.3 ? where 2? is the mass of the merry-- go-round (about 1000 kg) and is its radius (about 3.0 m). a. Determine the torque the motor must exert on the merry-go-round so the merry-go- round functions as designed. Your friend explains to you that when the merry-go-round is rotating that it has what is called rotational kinetic energy, and that you can determine it using: K - Ja where is the merry-go-round's rotational inertia and is its rotational velocity. b. Determine the rotational kinetic energy of the merry-go-round once it has reached its maximum rotation rate, and determine the power rating the merry-go-round's motor must have to deliver that much energy in the required time..