In the treadmill example, there is a relative difference in velocity between the air and the surface the cart is on.
In the road example, there is a relative difference in velocity between the air and the surface the cart is on.
That is not enough to make the case valid. The power source is not correct.
The road is not the power source for the real wind.
The wind on the belt does not exist in any physical sense until the object on the belt is moving
with the belt. It is quite clear that the force produced by this wind can be
no greater than can be sustained by the friction to the belt. Friction to the belt is related to the rolling resistance and gravity. Therefore, the force of the wind is directly related to the force of gravity. That is not the case for real wind.
Another way to look at it is from the hobo perspective. The box, which I presume to be the "windspeed" case, is propelled by an unseen force.
On the treadmill, this is obviously not so, and there is a frictional coupling between that force and the cart.
This friction should be introduced into the hobo model, as it is something that cannot be avoided, and therefore not excluded. Let's say we simulate that by placing the box on a driven trolley, with the appropriate level of friction
between. This friction cannot be idealized, and can be exploited to tell me I am moving.
In both cases, when the cart is at the same velocity as the surface it is on, the the air is moving forward relative to the cart.
In both cases, when the cart is at the same velocity as the air, the surface it is on is moving backwards relative to the cart.
OK
There is a difference in the laminar flow. This is not so important. I am quite happy to say I am wrong, but I cannot see why. I made a drawing, but can't upload it. I will try again later.
I can't see any difference between these two examples. The forces acting on the cart from the air and the surface it is on are the same either way.
Velocity is the only thing that is correct.
If you have reason to believe otherwise, then explain it to us clearly, concisely and unambigiously.
Your attempts to explain it to us so far have being vague, confusing and often contradictory.
Well, I am trying to explain something that is to me rather obvious Brian-M.
That is a problem. But that is not all.
(1) The consequences of "bullet time" rivers. (No answer.)
(2) How about that you can't measure the KE, and that it looks exactly like it has near zero in all frames? (Unresolved at best.)
(3) If that's not true, how can the fork work? (No answer.)
(4) How is it that there is a difference in the behaviour of the wheels at windspeed? (ignored)
(5) How is it that Mender's experiments confirm what I said?
(6) He says he has to tune it to stay there! Not only does it support my contention, how is that related to the real road? Not at all.
(7) Or how the F1/BMW wind tunnel is not like a treadmill and has a stabilisor.
As for frames having nothing to do with it, frames of reference are just a way of looking at the same situation from a different perspective. You can look at any situation from any arbitrary frame of reference. Different frames of reference don't change the outcome or interactions. Choosing the most convenient frame of reference just makes it easier to understand what's going on.
That is correct, but the frame equivalency is not held. That is my point.
Changing "frames" means changing between already constructed frames. The real train, on the real track, on the real planet. That means that you can change the physical aspects of those frames. You can't make the road the power source for the wind, because that is not so in nature. You could perhaps make a model this way, but then there are no real frames for comparison. Then only the accuracy of modeling counts. There are no equivalent frames for this model. That is a huge difference.
What it is, is the true equivalent of a belt set in the ground, with a cart on the track. That is correct. Going at windpeed, is the claimed simulation.
If you want to look at everything from the frame of reference of an observer stationary relative to the closest portion of the earth's surface, that's fine. Just remember, that the same outcome occurs no matter what frame of reference you work out the results from. So if your results contradict the results that someone has come up with using a more convenient frame of reference, then the chances are that your results are wrong.
Yes, but you are again assuming that the treadmill is equivalent enough to make the comparison.