This would be easy to resolve if we just did a breakdown of the problem... The only ground rule is that you have to address *ONLY* the question being asked or reference already agreed upon answers. If anyone's game, I'll start:Here we go again.
I did read the whole thread... this ain't rocket science. But in my experience, when a problem is broken up into small enough pieces, it's easy enough to see where opinions diverge. Then it's a simple matter of debating a small piece.Read the whole thread. Don't make Sapper bust out his Free Body Diagram.
I want to see the Free Body Diagram!!Read the whole thread. Don't make Sapper bust out his Free Body Diagram.
I already know the answer. I was wrong at first, but they convinced me.This would be easy to resolve if we just did a breakdown of the problem... The only ground rule is that you have to address *ONLY* the question being asked or reference already agreed upon answers. If anyone's game, I'll start:
Fact 1: Any flying (not falling!) airplane requires sufficient air velocity over its wings to generate enough upward lift which counteracts the airplanes mass (which given gravity creates a downward force).
Anyone disagree or want to qualify the fact to make it more precise? But keep it simple.
You are the first person Ive seen agree the plane's wings move forward through the air, but that it will not take off.I did not say anything about the wheels or friction. I agree the plane will move forward by the jets affect on the air, but not fast enough (nor far enough) to take flight. The only possibility I see is a military jet that can take off from an aircraft carrier. The others will crash off the end of the conveyor. And, this goes back to the type of plane.
You guys are fucking this up... it only works well if we stick to small facts taken one at a time. Does anyone disagree with Fact 1?This would be easy to resolve if we just did a breakdown of the problem... The only ground rule is that you have to address *ONLY* the question being asked or reference already agreed upon answers. If anyone's game, I'll start:
Fact 1: Any flying (not falling!) airplane requires sufficient air velocity over its wings to generate enough upward lift which counteracts the airplanes mass (which given gravity creates a downward force).
Anyone disagree or want to qualify the fact to make it more precise? But keep it simple.
Oh! I see it now! I feel like a real dope!oh man. :brickwall: :brickwall: :brickwall:
OK, as much as I can't believe that I'm about to get into this again, I just can't help it.
The result will be the same with a jet plane, prop plane, as Dleg said. The wheels would never offer enough friction to slow the plane down enough for it to not take off. They are free spinning wheels for crying out loud.
<snip>
But most people think of how a car thrusts through the wheels, and from the wheels to the ground, but planes use thrust against the air, not the ground.
What are you trying to say Dleg? ldman:Now I see where civingPE's 500 posts came from.
I'm on board with you, sray - hopefully there's nobody that disagrees with that.
taking it to the next step - I think the question is flawed. There are two ways to look at the "conveyor matches speed of airplane" aspect of the problem statement:
1: conveyor matches speed of the plane: plane gets up to 100, conveyor is going 100 the other way, and wheels are going 200. Plane takes off normally*. Would require a sufficiently long conveyor, though.
2: conveyor matches speed of wheels: obviously in this situation, the plane has no relative forward movement, and could not take off.
so which camp are you in?
I'm in camp one.
Since this is what the problem says -
"This conveyer has a control system that tracks the plane speed and tunes the speed of the conveyer to be exactly the same (but in opposite direction).
I can't really see how you can be in any other camp. It says the conveyor speed is the same as plane speed but opposite. It doesn't say anything about wheel speed. To me, plane speed means plane speed not plane wheel speed. I think like most hypotheticial problems we just assume no friciton.
And since the motion of the plane and the motion of the treadmill add to give the speed of the wheels, I don't see how the speed of the wheels could equal the speed of the treadmill anyway unless the planes engine is turned off and it is held in place with the treadmill spinning underneath. That is a litte far fetched interpretaiton of hte problem for me. But of course, in that case it won't fly.
And I say this as someone who had a complete mental block about this problem - I actually had to roll a little toy airplane on a treadmill to convince myself. I am anxious to see how they frame the question on Mythbusters.
Enter your email address to join: