Leverage-The mechanical advantage of a lever.
Lever-A simple machine consisting of a rigid bar pivoted on a fixed point and used to transmit force.

An example of leverage is using a jack to lift your car up to change the tire. Is it easier to jack up your car holding the back end of the bar, or the middle of the bar? Same goes with fly rods. Come fish for big salmon in stout current in Alaska with a 7 foot rod, then try a 13 footer. You will realize the difference. You may prefer the short rod because it is a much more challenging fight, but the long rod will bring the fish in much faster, no questions asked.

Riley