A 1.80 m radius playground merry-go-round has a mass of 120 kg and is rotating with an angular velocity of 0.310 rev/s. What is its angular velocity, in rev/s, after a 27.5 kg child gets onto it by grabbing its outer edge

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.