Even if you reversed the treadmill and made it go a million miles an hour all that would happen is the wheels would spin faster, the planes speed would still be determined by the jets.
If you stop or even speed up the treadmill the plane will still travel at the speed the jets are making it go. Even if you reversed the treadmill and made it go a million miles an hour all that would happen is the wheels would spin faster, the planes speed would still be determined by the jets.
Because it is moving through the air, it doesn't matter how much you make the treadmill spin the plane will always take off (assuming frictionless wheels of course).
And that's just the thing. We are not assuming frictionless wheels.
I like this answer:
Think of it this way. If the plane were pulled by cable, it would move forward regardless of what the conveyor belt was doing. Same situation with the plane's propellor or jet engines that work against the ambient air. The conveyor belt only makes the wheels turn faster.
Exactly. If the plane is moving forward relative to the stationary air around it then the wheels will be turning faster than the speed of the belt they're on.The wheels would be turning faster than the treadmill in that case.
I like this answer:
Think of it this way. If the plane were pulled by cable, it would move forward regardless of what the conveyor belt was doing. Same situation with the plane's propellor or jet engines that work against the ambient air. The conveyor belt only makes the wheels turn faster.
The wheels would be turning faster than the treadmill in that case.
No. In the confines of the question the wheels cannot be going faster than the treadmill. In the case of a cable the same is true. What would happen is you would get an almost instant acceleration of both the wheels and the treadmill to a ridiculous speed to the point where the force generated backwards on the plane by the treadmill is enough to snap the cable. This would happen in an instant and the plane wouldn't budge.
Obviously in reality this is ridiculous. But in reality the question is also ridiculous and it would be impossible to get a treadmill that could instantly match the speed of the planes wheels. But that is what the question states. I'm not making up the rules, the question is.
How are you guys not getting this?
Like others have stated - the wheels have no drive - the spin freely. When you start the engines up they create forward thrust, yes?
If the forward thrust is enough - the plane will, and I mean, will move forward. Because of the thrust created by the engines. That is a fact. Not an assumption.
It's very simple actually...
No. In the confines of the question the wheels cannot be going faster than the treadmill. In the case of a cable the same is true. What would happen is you would get an almost instant acceleration of both the wheels and the treadmill to a ridiculous speed to the point where the force generated backwards on the plane by the treadmill is enough to snap the cable. This would happen in an instant and the plane wouldn't budge.
Obviously in reality this is ridiculous. But in reality the question is also ridiculous and it would be impossible to get a treadmill that could instantly match the speed of the planes wheels. But that is what the question states. I'm not making up the rules, the question is.
Where are you getting these confines of the question from? The way you are explaining it the wheels of the plane would give out long before the cable snapped.
No the wheels can go backwards and the plane wil lstill take off, they're free spinning.