Wouldn't it be this simple?Re: lever lengths (from back before all the climbing talk lol)

In one sense, lever length is irrelevant. If the centre of mass is roughly halfway along the lever, and we stop one end, causing rotation, then the speed at the other end of the lever is roughly double what it was before - regardless of lever length.

Circumference of the circle traversed by both the center of mass and by the tip is just 2 pi * the radius. Double the radius and you double the circumference. The tip is at double the distance from the pivot point as the CoM is, so it travels twice as far (in the same time, so twice as fast).

So on that simple model, the length of levers is irrelevant, it would just be the number of levers that mattered. But in the real world, as i said before, it's not a sequential thing where one lever rotates exactly 180 degrees and then the next one does the same. Every lever is pushed and pulled off the straight, and by different amounts depending on how many links are pulling and how many links are behind it and resisting the pull. As we saw in the slow motion whip video, once there is relatively little remaining whip, the last few 'links' barely bent at all and rotated almost as a unit, because the inertia of the remaining whip-tip wasn't strong enough to overcome the stiffness within the whip.

So - it's complicated. Levers rotate about a moving pivot, not a stationary one, since the previous lever hasn't stopped moving. And every lever faces a slightly different situation due to its different position in the chain. And presumably, different lever lengths (and in particular different ratios between the various lever lengths within the system) would have big effects on the specifics of how the motion develops.

It does seem, anecdotally, like longer levers allow for more speed, but - if true - i don't think it's entirely simple to work out why.

If two players are doing the right pec drill and player 1 has an 18" forearm while player 2 has a 24" forearm, if both players move their arms at the same speed measured 1" from the elbow, player 2's arm will be moving measurably faster at the wrist.

Once you add in the rest of the kinetic chain, the taller player's lever length provides a significant advantage. It's complex to measure but not so much to comprehend. The longer the lever, the easier the work. This is why I feel like a trebuchet is a better analogy than a whip