[Yoda]

With all due respect I don't see the baggage carousal example as a valid description since no speed is increase by just going in a circular oval path. I spent the last two weeks in more airports staring for my luggage (always last) and see no increase in speed as fake Gucci luggage go around in circles. The same if a club is attached I suspect.

Consider two runners in a race run on a multi-lane oval track, one in the innermost lane and the other in the outermost lane. If started from the same line, the outside runner must cover a greater distance (because of the increased arc at each end of the oval) to complete each lap. To equalize the two distances, the exterior runner would be started further 'ahead' of the interior runner .

Similarly, on the oval carousel, if a 'club' were extended from the belt, it would have to travel a further distance than the belt itself in order to comply with the increased length of each end of the oval. Unlike the outside track runner, however, the club would have no 'headstart.' Hence, it would have to travel faster (surface speed) to maintain its in line relationship with the belt (RPM).