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Old 06-04-2009, 11:06 PM   #1
cdcox cdcox is offline
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Originally Posted by Joe Seahawk View Post
Wheels do not matter when the jet is moved by the thrust of the jets.. the wheels and the treadmill are nearly irrelevant. This seems very simple to me.. Is something wrong with me?
No. There is something wrong with me for keep trying to come up with different explanations in an attempt to teach.
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Old 06-04-2009, 11:15 PM   #2
Joe Seahawk Joe Seahawk is offline
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Originally Posted by cdcox View Post
No. There is something wrong with me for keep trying to come up with different explanations in an attempt to teach.
Where am I going wrong? if the treadmill moves at the backwards at the same speed the plane moves forward, I'm seeing the plane able to take off, although the wheels will be spinning twice as fast as non treadmill take off. I dunno, maybe I'm not understanding the question properly..
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Old 06-04-2009, 11:18 PM   #3
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Quote:
Originally Posted by Joe Seahawk View Post
Where am I going wrong? if the treadmill moves at the backwards at the same speed the plane moves forward, I'm seeing the plane able to take off, although the wheels will be spinning twice as fast as non treadmill take off. I dunno, maybe I'm not understanding the question properly..
The plane isn't actually moving forward. When you say "the wheels will be spinning twice as fast," no. The speed of the treadmill equals the speed of the wheels.

Since the plane isn't moving forward, there's no lift.
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Old 06-04-2009, 11:21 PM   #4
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Quote:
Originally Posted by orange View Post
The plane isn't actually moving forward.

.
Why?
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Old 06-04-2009, 11:21 PM   #5
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Quote:
Originally Posted by Joe Seahawk View Post
Where am I going wrong? if the treadmill moves at the backwards at the same speed the plane moves forward, I'm seeing the plane able to take off, although the wheels will be spinning twice as fast as non treadmill take off. I dunno, maybe I'm not understanding the question properly..
The problem statement (at least some versions of it) say the treadmill moves at the same rate as the wheels of the plane.

This statement causes a violation of Newton's second law.
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Old 06-04-2009, 11:22 PM   #6
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Quote:
Originally Posted by cdcox View Post
The problem statement (at least some versions of it) say the treadmill moves at the same rate as the wheels of the plane.

This statement causes a violation of Newton's second law.
Ah..
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Old 06-04-2009, 11:31 PM   #7
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Quote:
Originally Posted by cdcox View Post
The problem statement (at least some versions of it) say the treadmill moves at the same rate as the wheels of the plane.

This statement causes a violation of Newton's second law.
It doesn't really violate it so much as complicate it by making it a dynamics problem where you have to account for rotational acceleration and momentum. Not a simple force balance.
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Old 06-04-2009, 11:42 PM   #8
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Originally Posted by prhom View Post
It doesn't really violate it so much as complicate it by making it a dynamics problem where you have to account for rotational acceleration and momentum. Not a simple force balance.
This is the first idea that proposes at least a reasonable way to make it all hold together. I only wonder if the force needed to accelerate the wheels isn't coming from the treadmill motor rather than the jet engine? Unclear.

I'd calling it a night, and will do my best not to click on this thread at work tomorrow.
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Old 06-04-2009, 11:26 PM   #9
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Quote:
Originally Posted by Joe Seahawk View Post
Where am I going wrong? if the treadmill moves at the backwards at the same speed the plane moves forward, I'm seeing the plane able to take off, although the wheels will be spinning twice as fast as non treadmill take off. I dunno, maybe I'm not understanding the question properly..
The plane wheels can never go faster than the treadmill because the original question said that the treadmill is designed to ALWAYS go as fast as the plane's wheels. Because of that statement we have to assume that as the plane accelerates and starts to gain on the treadmill, some control makes the treadmill accelerate and convert the plane's incremental thrust into ROTATIONAL acceleration and momentum in the wheels. By the way the problem is defined, the plane can never convert thrust into a higher incremental wheel speed versus the treadmill. THis has no basis in reality, and therefore cannot be proved by a simple experiment.
(At least it would require very complicated machinery to balance a model plane's thrust and treadmill acceleration)

Last edited by prhom; 06-04-2009 at 11:28 PM.. Reason: added last sentence
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Old 06-04-2009, 11:32 PM   #10
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Quote:
Originally Posted by prhom View Post
The plane wheels can never go faster than the treadmill because the original question said that the treadmill is designed to ALWAYS go as fast as the plane's wheels. Because of that statement we have to assume that as the plane accelerates and starts to gain on the treadmill, some control makes the treadmill accelerate and convert the plane's incremental thrust into ROTATIONAL acceleration and momentum in the wheels. By the way the problem is defined, the plane can never convert thrust into a higher incremental wheel speed versus the treadmill. THis has no basis in reality, and therefore cannot be proved by a simple experiment.
(At least it would require very complicated machinery to balance a model plane's thrust and treadmill acceleration)
Apparently I misunderstood the question.. I thought the treadmill moved one direction in the same speed as the PLANE thrust propelled it in the opposite direction.
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Old 06-04-2009, 11:34 PM   #11
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Originally Posted by Joe Seahawk View Post
Apparently I misunderstood the question.. I thought the treadmill moved one direction in the same speed as the PLANE thrust propelled it in the opposite direction.
Yep, so did I for about an hour just look at the post history. I now feel compelled to make sure people catch that very important part of the question. The treadmill can adjust it's speed infinitely. THat changes everything.
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Old 06-04-2009, 11:42 PM   #12
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Originally Posted by prhom View Post
Yep, so did I for about an hour just look at the post history. I now feel compelled to make sure people catch that very important part of the question. The treadmill can adjust it's speed infinitely. THat changes everything.

Well, than now it makes my head hurt.. I'm going to the epic fail thread!
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