Re:
samhocking said:
You can't possibly calculate what forces are in Ryder's wheel from a video, so the best you got is to simulate it as best as you can and it spins around. From what I can tell, his right foot is clipped in, the wheel is clearly spinning still, then he unclips and is not attached to bike and then the spinning wheel carries the wheel down the descent, which is how it works when I simulate it. I don't see his rear wheel stop spinning, others claim they see it start spinning after he unclips, but I just don't see the wheel stop spinning during or after the crash until the motorbike runs over it.
You most certainly can!! Physics to the rescue!! First, estimate the speed at the time of the crash. There are lots of visual cues. Put some error bars on that estimate. Great. Now from my own measurements, I've got lots of data on the moment of inertia for rear wheels plus tire, but you can also look that up. This gives a nice, tightly bracketed range of values. So the energy it has is a quick calculation: E = 0.5 I w^2, where I is the moment of inertia and w is the angular velocity.
That's you *maximum* energy budget.
Now, make a quick calculation of what the bike's moment of inertia is. Done. Alright. Now before we continue on to the calculus and setting up the equations to solve for the transfer of energy between systems, let's figure out if it's worth attempting. Just assume that all the energy transfers with no losses. Check that against the final rotational velocity of the bike. The answer is that using all favourable numbers, there's just barely enough energy.
So let's take a look at the other aspects. The energy available in the wheel decreases as the bike speeds up (i.e., the energy transfers from one to the other). This would result in an impulse. An impulse is a changing rate of acceleration. In this case we would expect it to accelerate quickly and then slow down over time as friction takes over. This is clearly what Cassani's video shows. Ryder's bike does not display an impulse. It displays an acceleration followed by constant or accelerating speed.
What does that mean? There needs to be an additional energy source! Is it gravity? Nope, that's off by a few orders of magnitude (look up pendulums if you're interested).
Also troubling is that the wheel clearly touches the ground three times during the crash. There's no conceivable way that was frictionless. Ergo, our assumptions about the initial energy of the wheel are over-estimated.
Conclusion: Something was adding energy to the system. That would be a motor.
John Swanson