(Need this done by 8:30 AM CST TIME)

A final thought experiment: What happens to the relationship between their linear and rotational velocities if the merry-go-round Is twice as big and the kid on the outside is twice as far away from the other student? Does the radius of the circle make a difference? Can you propose an equation that will relate the rotational velocity of an object with the radius of the circle and with the object’s linear velocity? Your equation will have only these three variables: 1) rotational velocity (v); 2) radius ®; and 3) linear velocity (ω).