1. Suppose a roulette wheel is spinning at 1.0 rev/s. How much time I does it take for the wheel to come to rest if it experiences a constant angular acceleration of 0.020 rad/32 '2 How many rotations, N, does it complete in that time? 2. A child sits on a merry-goround that has a diameter of 6.00 m. The child uses her legs to push the merry-go-round, making it go from rest to an angular speed of 14.0 rpm in a time of 40.0 s. What is the average angular acceleration 11an of the merry-goround in units of radians per second squared am = : musz (rad/s2 ) ? What is the angular displaoctncnt A3 of the merry-gonound, in units of radians (rad). during the time the child pushes the AB = rad merry-go-round'? What is the maximum tangential speed am of the child if she - '7 rides on the edge of the platform. \"Fm = l m/s 3. A [27 kg horizontal platform is a uniform disk of radius [.87 m and can rotate about the vertical axis through its center. A 64.9 kg person stands on the platform at a distance of 1.01 m from the center, and a 26.9 kg dog sits on the platform near the person 1.45 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis