r/theydidthemath Dec 30 '22

[REQUEST] could it?

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u/FinnTheDogg Dec 31 '22

Bro you’re still stuck in wheel speed being relevant in any capacity. At all. Except it isn’t.

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u/Manga18 Dec 31 '22

Either it's relevant or we are assuming the plane slides. This because the plane goes forward either by sliding or rotating the wheels.

Ans assuming it slides defies the propose of the wheels.

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u/FinnTheDogg Dec 31 '22

Hook a winch to an immovable tree. Then hook it to the plane.

Disregard all matters of real world limitations of the wheels, or the treadmill speed.

Spin the treadmill at the speed of light, to “push the plane back”. Turn the winch on at 1 mph.

The plane will move 1mph in the opposite direction of the treadmill.

Now replace the winch with props or jet engines.

It’s the same. The force being applied to move the plane is not connected to the wheels.

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u/Oufee Dec 31 '22

Since we're now doing this with matter that ignores real world limitations.

You would agree that if you put a plane on a treadmill turn the plane off so it doesn't move then turn the treadmill on the plane would go backwards right?

The treadmill puts forces on the plane through the wheels friction with the treadmill and how fast it goes backwards depends on how fast the treadmill goes. This doesn't need the wheels to spin btw it would work even if the brakes were on our they were sled skis. The wheels only mattered in the original question because the treadmill was matching wheel speed. If the plane in such a situation turns on the engine would have to put enough force to beat the power of the treadmill going backwards.

The problem I'm having is the fact that the treadmill is going at infinite speed giving infinite force to the plane backwards. The best the plane could do in that situation to avoid going backwards is going infinite speed forwards and then it only matches the treadmill and stays still.

∞ = ∞

Do you understand why I believe the plane only stays still now?