The vomit wheel was a constant fixture in playgrounds until the age of litigation. The child shown is small and can only impose an acceleration of  a= 0.1rad²/sec² meaning that every radian the child runs around the circumference  accelerates the vomit wheel by 0.1rad/s2.  If the desired outwards normal acceleration for a good ride is 0.1deltadeltadeltadelta g, how far, in radians, must the child run around the disk before getting on for a good ride? Assuming a diameter is 10' and a distance from the edge to the post  where the child is holding is 6" or 0.5ft.  The acceleration at that point on the disk should be 0.1deltadeltadeltadelta g radially inward.