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Old 12-07-2006, 03:55 PM   #124
Flint
Snowflake
 
Join Date: Mar 2006
Location: Dystopia
Posts: 13,136
Quote:
Originally Posted by Happy Monkey
No, because wheel speed is identical to the speed of the plane relative to the treadmill. They are the same thing.
The question does not reference wheel speed, but plane speed. The question is what the plane speed is measured relative to. You can get two different answers, depending on what plane speed is measure relative to.
Quote:
Originally Posted by Happy Monkey
But the speed of the plane relative to the treadmill does not affect the speed of the plane relative to the ground.
The speed of the plane can be desribed two different ways. They aren't exchangable.
Quote:
Originally Posted by Happy Monkey
If the engine is going, then the plane moves forward relative to the ground.
The plane isn't on the ground. It's on the treadmill. The treadmill either cancels it’s relative motion, or has no effect whatsoever. See above.
Quote:
Originally Posted by 9th Engineer
Flint, you are saying we need to forget HOW a plane works and just assume that because of the word 'but' the plane cannot move forward, even though the question then goes on to say that all the treadmill is doing is matching its speed with the forward motion of the aircraft.
No, I’m not saying that. (The forward motion of the aircraft relative to what?)
Quote:
Originally Posted by 9th Engineer
Asking to forget everything about how the objects in question work and make an assumption based on a conjunction in one of the sentences is ridiculous [sic]…
I'm not asking you to do that.
Quote:
Originally Posted by glatt
He's saying this is a special treadmill that somehow holds the plane back.
It doesn't hold the plane back, the plane is moving at exactly the speed the treadmill is moving, in the opposite direction.
Quote:
Originally Posted by LabRat
The treadmill does not move the axle, it moves the wheel around the axle. Thus, the planes forward thrust has no opposite force, and moves the plane (attached to the axle) forward until lift overcomes gravity and the plane takes off.
The question doesn’t include wheel speed as a variable, only plane speed and treadmill speed.
Quote:
Originally Posted by LabRat
We need to add a NSFP* warning on these.

*Not Safe For Productivity.
No kidding.
Quote:
Originally Posted by Kitsune
Alright, mission accomplished!
Quote:
Originally Posted by Happy Monkey
The wheels of the plane are the interaction between the two forces, and by rotating they allow the engines to move the plane forward and the treadmill to move itself backward without canceling, by rotating at the sum of the two speeds.
The question doesn’t include wheel speed as a variable, only plane speed and treadmill speed.

Quote:
Originally Posted by Happy Monkey
Under interpretation #1, the speed of the treadmill is automatically set to equal the speed of the wheels. This is only true if the engines supply no force to the system, but the question precludes that.
No, the treadmill stated in the question only cares about the plane speed, never the wheel speed.
Quote:
…the treadmill is made to match the forward speed of the plane, only in the opposite direction.
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