British Expats

British Expats (https://britishexpats.com/forum/)
-   The Maple Leaf (https://britishexpats.com/forum/maple-leaf-98/)
-   -   Imagine a plane is sitting on a treadmill... (https://britishexpats.com/forum/maple-leaf-98/imagine-plane-sitting-treadmill-493851/)

Andthen Nov 14th 2007 9:39 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by Hobbess (Post 5555455)
Has anyone questioned why the plane is even on a treadmill? Surely if it's in Canada (and why wouldn't it be as this is a Canadian forum) then it's probably a reasonably healthy plane and there are lots of nice wide open spaces to go out for a run that the use of a treadmill becomes a moot point...

Hve you seen the number of fat people over here?

Hobbess Nov 14th 2007 9:40 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by Andthen (Post 5555471)
Hve you seen the number of fat people over here?

you are living in Canada not America?

iaink Nov 14th 2007 9:45 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by Hobbess (Post 5555474)
you are living in Canada not America?

There is no difference. Are you a canadian by any chance? Only Canadians dont recognise the fact that Canada and the US are 90% interchangable.

Hell, since moving here Ive become one of the millions of fat canadians.

But Im probably wrong...have been about everything else this thread has touched on it seems:)

koogar Nov 14th 2007 9:51 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by iaink (Post 5555490)
There is no difference. Are you a canadian by any chance? Only Canadians dont recognise the fact that Canada and the US are 90% interchangable.

Hell, since moving here Ive become one of the millions of fat canadians.

But Im probably wrong...have been about everything else this thread has touched on it seems:)

Actually Iain, it's taken me months to find something I can correct you on :D
I'm sure you'd find it much easier to return the favour.

Hobbess Nov 14th 2007 9:51 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by iaink (Post 5555490)
There is no difference. Are you a canadian by any chance? Only Canadians dont recognise the fact that Canada and the US are 90% interchangable.

Hell, since moving here Ive become one of the millions of fat canadians.

But Im probably wrong...have been about everything else this thread has touched on it seems:)

Not a Canadian, but can see the difference and happy that I'm trying to pretend to be a relatively active (softball, curling, snowboarding, hockey) thinnish Canadian wannabe and not a [stereotyping]pudgier American[/stereotyping]

Recent trip to Florida highlighted the difference. Maybe it's just a West Coast thing, what with the mountains and stuff that keeps the pounds off.

Anyway back to the treadmill or lack of it, the point is that the space around in Canada means why would you get on a treadmill when you could go out for that run in the space?!?

Andthen Nov 14th 2007 9:53 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by Hobbess (Post 5555474)
you are living in Canada not America?

Neither as it happens, but I'm in Toronto right now.

iaink Nov 14th 2007 10:06 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by Hobbess (Post 5555515)

Recent trip to Florida highlighted the difference. Maybe it's just a West Coast thing, what with the mountains and stuff that keeps the pounds off.

So you havent been here long enough to realise that Florida is in fact Canadas 11th province/ territory...where Canadians go to die.

Half those fat 'mercans were probably Canadian.

Jingsamichty Nov 14th 2007 10:32 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by Bill_S (Post 5555402)
OK, since we've got round to Newton, I'll have another go...

3rd Law means for every action, equal and opposite reaction.

We have an aircraft stationary wrt the air around it. The action = application of thrust to the airframe. The reaction = the aircraft moves. The magic treadmill can spin the aircraft's wheels forward, backward, fast, slow... it doesn't matter what the wheels are doing. If a force is applied to the aircraft, the aircraft MUST move. Spinning the wheels CANNOT stop the aircraft from moving. (Unless the force applied is very tiny and not greater than the friction from the bearings, but that's hardly what we're talking about here).

Hi Bill_S,

This has really got me gripped!! I started with the assumption that the magic treadmill is frictionless, and acts only in reaction to the rotation of the plane's wheels. No consideration of inertia or friction losses.

Until gravity is overcome by lift, all the thrust forces are routed through the landing gear and the wheels. As the wheels attempt to rotate forward, the magic treadmill rotates backwards, resulting in zero forward movement. As thrust increases, the wheels and treadmill accelerate up to ludicrous speads, way more than take off speed, but still, there should be no forward motion. Gravity ensures that the thrust forces go through the wheel/treadmill. As long as the treadmill reacts instantaneously with the rotating moments of the wheels, there cannot be forward motion.

The original poster stated that the the conveyor is "designed to match the speed of the plane exactly". On that assumption alone, surely the plane cannot move?

This is fun - just like Johnny Ball's science programmes!

iaink Nov 14th 2007 10:46 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by Jingsamichty (Post 5555698)

Until gravity is overcome by lift, all the thrust forces are routed through the landing gear and the wheels. !


Ah, but they arent, the thrust acts on the airframe, pushing it along horizontally, relative to the air. Whether the wheels move or not is neither here or there, the wheels are free to rotate independent of the air frame (the brakes are off), and the plane is moving relative to the air, which is all that matters. What the treadmill is doing is of no consequence once the initial friction of the wheel bearings is overcome and the wheels start to rotate.




As the wheels attempt to rotate forward, the magic treadmill rotates backwards, resulting in zero forward movement.
Nope, as the treadmill moves, it just spins the wheels on the plane faster, so baring a catastrophic wheel bearing failure and the sudden application of a whole lot of friction, the thrust from the engines keeps pushing the airframe forward anyway, relative to the static air, eventually creating lift.




As thrust increases, the wheels and treadmill accelerate up to ludicrous speads, way more than take off speed, but still, there should be no forward motion. Gravity ensures that the thrust forces go through the wheel/treadmill. As long as the treadmill reacts instantaneously with the rotating moments of the wheels, there cannot be forward motion.
except they dont, as the force of the engine is pushing on the airframe, and the wheels are rotating entirely independently of that


The original poster stated that the the conveyor is "designed to match the speed of the plane exactly". On that assumption alone, surely the plane cannot move?
So the plane is going forward at 200mph, the treadmill is going backward at 200mph. The wheels are turning at 400mph....but the plane is still being pushed forward into the air by the engines thrust at 200mph, so it will take off


This is fun - just like Johnny Ball's science programmes
It is rather. Sadly its the most I have used my brain today.

As you can see I have jumped ship here and am now in the it'll take off crowd.

Surrey Expat Nov 14th 2007 10:47 am

Re: Imagine a plane is sitting on a treadmill...
 
At this point fire trucks might be a useful consideration.

steve666 Nov 14th 2007 10:53 am

Re: Imagine a plane is sitting on a treadmill...
 
Not a single one of you has put your finger on the one obvious thing staring at you for the whole 5 or whatever pages!

iaink Nov 14th 2007 11:00 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by iaink (Post 5554860)
There is no airspeed relative to the wing, due to the motion of the rolling road/treadmill countering the forward motion of the plane from the engines thrust, so there will categorically be no lift and the hypothetical beast will remain rooted to the surface.

What the engines are doing is not relevent, if there is no air going over the wing, then there is nothing to create lift.

If you turn the plane around and use the treadmill to generate airspeed without turning on the engines, it will creat lift...but it wont fly for long as once it leaves the ground/treadmill there is no forward propulsion mechanism, and drag will slow it down to the point that there is no longer enough lift to keep it in the air.

This one should have died after the second post.

What idiot wrote that!

You know they let anyone post any old crap here dont they.

steve666 Nov 14th 2007 11:18 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by iaink (Post 5555774)
What idiot wrote that!

You know they let anyone post any old crap here dont they.

Don't be so hard on yourself.

iaink Nov 14th 2007 11:27 am

Re: Imagine a plane is sitting on a treadmill...
 
The first and second comments were not necessarily related you know:sneaky:

Jingsamichty Nov 14th 2007 11:30 am

Re: Imagine a plane is sitting on a treadmill...
 

Originally Posted by tom17 (Post 5554071)
Imagine a plane is sitting on a massive hypothetical 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?

Discuss :)

Tom...

I think this is the key to the riddle. I got fixed on the treadmill negating the speed of the wheels. It's a semantic puzzle rather than a physics puzzle... if the planesis going at 100mph, the treadmill is going at -100mph. The wheels are going at 200mph.... but nonetheless the plane is going at 100mph. If the plane is moving it can take off.


All times are GMT -12. The time now is 12:37 pm.

Powered by vBulletin: ©2000 - 2026, Jelsoft Enterprises Ltd.
Copyright © 2026 MH Sub I, LLC dba Internet Brands. All rights reserved. Use of this site indicates your consent to the Terms of Use.