A mass is tied to a rope, that rope is attatched to a pole coming out of the screen. The pole is being moved by a person to cause the mass to rotate in a verticle circle at constant speed. A second pole coming out of the screen is introduced within the radius. The second pole interacts with the rope in such a way to create new but smaller circular motion. Is the speed of the latter centripetal acceleration the same as the speed of the first centripetal acceleration?