A merry-go-round is at rest before a child pushes it so that it rotates with a constant angular acceleration for 38.0 s. When the child stops pushing, the merry-go-round is rotating at 1.20 rad/s. How many revolutions did the child make around the merry-go-round while he was pushing it?

Answer 1

change velocity= 1.20r/s
during time=38sec

angular acceleration= 1.20/38

displacement= 1/2 angacceleration*time
displacement will be in radians. Divide that by 2PI to get revolutions.