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Imagine a plane is sitting on a treadmill

A physics and engineering riddle

Toytown Germany > Discussion forum > Themes > Miscellaneous
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righter
To produce lift, an aerofoil - ie a wing, has to move through the air. It can only produce lift when it moves through the air. As the aircraft doesn't move in relation to it's surroundings, it cannot produce lift and thus cannot take off.

The theory of flight explains it all really.
Tom17
QUOTE (righter @ Dec 20 2006, 3:23 pm) *
To produce lift, an airfoil - ie a wing, has to move through the air. It can only produce lift when it moves through the air. As the aircraft doesn't move in relation to it's surroundings, it cannot produce lift and thus cannot take off.

The theory of flight explains it all really.

lol mate.. go read the thread smile.gif
sGb27
QUOTE (sGb27 @ Dec 20 2006, 1:05 pm) *
[newPerson] it won't take off because of blah blah blah
righter
QUOTE (Tom17 @ Dec 20 2006, 2:23 pm) *
lol mate.. go read the thread

What, all of it?
Silly Point
are they queuing up outside the door, or something?
Tom17
Single file, one at a time.
Sin
QUOTE (Adi @ Dec 20 2006, 2:13 pm) *
Sin.

I originally thought that it would fly. Seemed obvious to me, so I voted that way. Then I started to think some more and tied myself in knots with points which were not part of the scenario.

Key things:
1. Forward motion comes from the jets, which are not tied to the belt (they are separated by the free-wheeling wheels). This is fundamentally different than the scenario with a car, where forward motion is obtained through driven wheels and the friction from the tires on the ground.

2. Because forward motion is not related to what the wheels are doing, the jets are free to propel the aircraft (to which they ARE attached) up to it's take-off speed. The take-off speed required would be, I guess, very very marginally higher than if the plane was not on a belt moving in the opposite direction. So marginal, that other effects (such as prevailing head-wind speed, air-density, etc.) would be far greater.

Well, I look at it this way:

1. There are no variables given, so therefore there are none. Zero, zilch, nada. There is no head-wind. The air-density is taken as normal.

2. The jet/s is/are at take-off thrust. The plane moves forwards. The conveyor moves backwards.

The rub comes on the interpretation of opposing speed. The intake/output of the jet/s do not generate lift. It/they merely suck air through a port, or ports, compress said air and thrust it backwards. If the plane was not in contact with the conveyor belt then obviously, it is already flying.

STB summed it up pretty well with the glider scenario. This is where the devil in the detail was exposed. The plane moves forwards at (eg) 300mph, and the conveyor belt moves backwards at the same speed. The passing speed is 600mph, and because the plane has forward momentum it gathers lift and up it goes. It is the scenario when the plane moves forwards at 0mph because the conveyor is matching it's speed that causes all the problems. This can be proved by watching a plane firing it's jet/s without wishing to move. The air moves behind the aircraft, but it does not move forwards because of the brakes/chocs. In one interpretation, no matter how fast the wheels spin, the conveyor belt acts as the virtual brake, and no forward momentum is gained, no airflow, no lift, no take-off.

And this is the beauty of the riddle. It never fully satisfies which scenario we are working to, so the correct answer is, Not enough information.

However, the marketing boys have already sold 27 conveyor belt launch systems to Saudi Arabia, and taken a 50% deposit, so we'd better get the thing to work PDQ. wink.gif
eurovol
Are those laser guided conveyor belt launch systems?
Adi
QUOTE (eurovol @ Dec 20 2006, 2:19 pm) *
How so? Is the conveyor belt powered by the car's wheels or some such nonsense?

Where did I say that?
sGb27
I bet a very clever person came up with the riddle, and is now chuckling away at how many millions of posts on the internet have been "wasted" debating what the original author really intended biggrin.gif Either that, or a relatively normal person just forgot to write "air-speed" or "wheel-speed" in the question.
Adi
@righter

Why do you think the plane is not moving through the surrounding air?
Silly Point
Hang on, where's the plane - I never spotted any plane
Adi
Come on guys. I've got 55 minutes until I break up for Xmas. Surely we can fill that small void with this thread until then?
eurovol
The propulsion used matters not in this scenario. I find it funny that everybody keeps coming back to jets versus cars.
eurovol
QUOTE (sGb27 @ Dec 20 2006, 2:32 pm) *
Either that, or a relatively normal person just forgot to write "air-speed" or "wheel-speed" in the question.

I believe the original question used "wheel-speed".
Wheel
Look again.
righter
QUOTE (Adi @ Dec 20 2006, 2:32 pm) *
@righter

Why do you think the plane is not moving through the surrounding air?

The plane isn't moving because the speed of the conveyor belt in relation to the thrust the engines are producing and the speed the wheels are turning cancel each other out. It wouldn't even get it's nose of the ground. If it would work, aircraft carriers would use it instead of catapults.
Adi
QUOTE (DrivinWest @ Dec 18 2006, 3:28 pm) *
Imagine a plane is sitting on a massive conveyor belt, as wide and as long as a runway. The conveyor belt is designed to match the speed of the plane exactly but moves in the opposite direction. The engines are running at take-off thrust, the brakes are off, etc. Everything is normal save for the fact the plane is on a treadmill.

Can the plane take off?

@eurovol
No it doesn't.
kitty-kat
QUOTE (Sin @ Dec 20 2006, 2:36 pm) *
I believe we've all got that point kitty-kat. However, the question states, The conveyor belt is designed to match the speed of the plane exactly but moves in the opposite direction.. The speed of the wheels is never mentioned. Only the speed of the conveyor belt and the plane.

My point was only that the conveyor belt speed is irrelevant to begin with, which obviously some people haven't yet gotten. the plane is going to go as fast as it would normally have gone because of the thrust of the engines, irregardless of the conveyor belt matching its' speed, speeding up, or stopping completey.
Wheel
@ righter

Except that the treadmill, if it is producing any thrust acts on the wheels, which don't slow the plane because they are free to rotate as fast as they like.

Meanwhile, totally independently the engines are acting on the atmosphere and moving the plane forward according to Newton's third law.
sGb27
OK, last word from me then, I think this covers it.

Interpretation 1: Conveyor speed = planes air speed (or what the GPS in the plane would read). Result: Plane takes off as usual but with wheels spinning twice as fast

Interpretation 2: Conveyor speed = planes wheel speed (ie working how a car speedo does), this means the conveyor does whatever is necessary to keep the plane stationary relative to the ground. Result: A conveyor with ever increasing speed and a stationary plane. As a further discussion, the conveyor could generate enough wind to lift the plane eventually (as the conveyor speed is ever increasing). But before that happens the wheels will probably break off and the plane will be catapulted backwards by the conveyor, so not really worth discussing.
Small Town Boy
QUOTE (righter @ Dec 20 2006, 2:41 pm) *
The plane isn't moving because the speed of the conveyor belt in relation to the thrust the engines are producing and the speed the wheels are turning cancel each other out. It wouldn't even get it's nose of the ground. If it would work, aircraft carriers would use it instead of catapults.

Seriously, try and read at least some of the thread before ignorantly posting nonsense that was answered back on page 4. If the plane isn't moving then nor is the conveyor belt. rolleyes.gif
eurovol
QUOTE (Wheel @ Dec 20 2006, 2:41 pm) *
Look again.

QUOTE (Adi @ Dec 20 2006, 2:42 pm) *
@eurovol
No it doesn't.

Pay attention and look at what I quoted. Fachidioten. laugh.gif
BadDoggie
QUOTE (kitty-kat @ Dec 20 2006, 2:42 pm) *
the plane is going to go as fast as it would normally have gone because of the thrust of the engines,

HOW?! HOW is it going to move forward. Unless the thrust:weight ration is greater than 1 AND the engines are blowing at an angle below horizontal, it ain't going to happen. The air never gets a chance to flow over the wings because the plane can't roll forwards since the belt moves in conjunction with the wheels.

woof.
Wheel
@ eurovol

The original question does not say wheel-speed. End of.
Adi
Get a toy car, eg matchbox and a sheet of paper.

1. Put car on sheet of paper.
2. Holding car with left hand slowly push it towards the left as you...
3. ... hold the paper with your right hand and jerk it backwards and forwards under the car.

Is the car still moving steadily to the left even though the paper is moving all over the place? What effect did the movement of the paper have on the forward motion of the car?
Wheel
@ BD

Aren't you a pilot?
gideon
QUOTE (Sin @ Dec 20 2006, 2:27 pm) *
However, the marketing boys have already sold 27 conveyor belt launch systems to Saudi Arabia, and taken a 50% deposit, so we'd better get the thing to work PDQ.

that was the sales guys. your marketing guys branded it conyeoplane, and did a massive launch party on a rented aircraft carrier in the bahamas (making sure of course not to invite the GM's as they will, turn up in badly fitting suits, eat all the canapes and drink so much that al they can do is chat up the "air hostesses" and scare the clients away)
eurovol
QUOTE (Wheel @ Dec 20 2006, 2:47 pm) *
@ eurovol

The original question does not say wheel-speed. End of.

Try to comprehend and read what I quoted. DW's posting isn't the "original". rolleyes.gif
Small Town Boy
QUOTE (Wheel @ Dec 20 2006, 2:48 pm) *
@ BD

Aren't you a pilot?

That's the scary thing.
Wheel
OK, let's try another way.

According to the first law of thermodynamics, (conservation of energy) energy cannot just disappear.

We are all in agreement that the engines of a large plane can produce an enormous amount of energy.

According to the plane-will-fly people, that energy is used in accelerating the plane forward.

According to you non-fly people, exactly where is all the energy going?

How does it get there?
Dafydd
This nonsense is still going on - 'triffic.
DC77
QUOTE (Wheel @ Dec 20 2006, 2:52 pm) *
We are all in agreement that the engines of a large plane can produce an enormous amount of energy.

Energy cannot be created nor destroyed.
me thinks. ohmy.gif
sGb27
add "from the fuel" on the end then...

BTW the energy argument is a good one, well done.
DrivinWest
I love how each contingent thinks the others are complete and utter morons. It's pretty funny.
eurovol
QUOTE (Wheel @ Dec 20 2006, 2:52 pm) *
exactly where is all the energy going?

A smart engineer uses it to power the conveyor belt so they can go the same speed. tongue.gif
Wheel
QUOTE (DC77 @ Dec 20 2006, 2:55 pm) *
Energy cannot be created nor destroyed.
me thinks.

Well the fuel contains potential energy (in the form of chemical bonds), which when mixed with the air and ignited, is released.
Tim
The energy from the engines is clearly being used to power the conveyor belt.

edit ...too slow...

edit 2- but does that not make some sense? the conveyor clearly uses/creates energy/heat/whatever... ah, forget it, I am way over my head.
Wheel
QUOTE (eurovol @ Dec 20 2006, 2:58 pm) *
A smart engineer uses it to power the conveyor belt so they can go the same speed.

And he harnesses that energy how, exactly?

Edit: same question to you Tim - q. says everything else is normal.
Tom17
QUOTE (Wheel @ Dec 20 2006, 4:00 pm) *
And he harnesses that energy how, exactly?

I think that was just a joke so he could avoid answering the question - something all the no-fly people will no doubt do too.
eurovol
QUOTE (Wheel @ Dec 20 2006, 3:00 pm) *
And he harnesses that energy how, exactly?

Edit: same question to you Tim - q. says everything else is normal.

With a windmill of course.
Tom17
Come on, try and answer the question. Or does your theory not allow for this large energy offset?
Wheel
@ eurovol

Is that you officially capitulating? Because the q. does not mention windmills, it says everything else is normal.
righter
But it wont fly! Lift cannot be generated if the aircraft isn't moving through the air. To all intents and purposes, it is stationary. I could walk around it while it huffs and puffs and gets nowhere.

To those that say it will fly, at which moment will the nose lift? When it is travelling at 0mph? Or ten minutes later, when it is still travelling at 0mph?
SleeplessInMunich
QUOTE (DrivinWest @ Dec 20 2006, 2:57 pm) *
I love how each contingent thinks the others are complete and utter morons. It's pretty funny.

Yeah, but I find the "yes" crowd to be the worse of the 2 at the moment. There is a lot more name calling and "read the thread" from them as if it had all been proved further back. The fact that people are still disagreeing over it means that it wasn't resolved and no amount of re-reading will change that.
Tom17
Variation on sgb27's thread summary...:

[newPerson] it won't take off because its not moving so no thrust
[flyPeople] Why is it not moving?
[newPerson] IT DOES NOT GET ANY LIFT BECAUSE ITS NOT MOVING!!!
[flyPeople] ARRGGHH!!! *bang head*
<big argument>
[newPerson] ok i see now
Adi
QUOTE (righter @ Dec 20 2006, 3:06 pm) *
But it wont fly! Lift cannot be generated if the aircraft isn't moving through the air. To all intents and purposes, it is stationary. I could walk around it while it huffs and puffs and gets nowhere.

To those that say it will fly, at which moment will the nose lift? When it is travelling at 0mph? Or ten minutes later, when it is still travelling at 0mph?

Take the matchbox test. Get your fingers behind a matchbox car sitting on a sheet of paper and push it in one direction at a steady pace. Now whip out the paper in the opposite direction... Did the car still keep moving forwards, even though the paper was travelling in the opposite direction..even at a much faster speed?
Roger H
QUOTE (eurovol @ Dec 20 2006, 3:02 pm) *
With a windmill of course.

The second law of thermodynamics prevents all that energy from being transferred directly to the windmill and on to the conveyor belt. As Homer Simpson says: "In this house we obey the Laws of Thermodynamics".
Wheel
@ SiM

The argument has been won. Slam dunk.
eurovol
Laws were made to be broken.
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