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Old 06-04-2009, 03:18 PM   #1
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Originally Posted by MagicHef View Post
Do the same with the toilet paper roll being pressed against the ground enough to keep it from slipping. The rotating speed and linear speed are linked quite concretely.
But now you are using the ground to push off of to move forward, the plane doesn't use the ground to push off of to move forward, so the rotating speed in this case isn't linked to the linear speed, especially because you are asking what if the linear speed is 0.

If the linear speed is 0, then the rotating speed can be x, y, z, or whatever other number you want to throw out there.
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Old 06-04-2009, 03:21 PM   #2
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Originally Posted by MediaCenterJunkie View Post
But now you are using the ground to push off of to move forward, the plane doesn't use the ground to push off of to move forward, so the rotating speed in this case isn't linked to the linear speed, especially because you are asking what if the linear speed is 0.

If the linear speed is 0, then the rotating speed can be x, y, z, or whatever other number you want to throw out there.
No, I'm only using the ground to press down on, much like the weight of the plane is pressing the wheels down on the treadmill. The linear speed does not have to be zero, you can change the linear speed of the pen and you will see the rotating speed change accordingly.
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Old 06-04-2009, 03:23 PM   #3
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Originally Posted by MagicHef View Post
No, I'm only using the ground to press down on, much like the weight of the plane is pressing the wheels down on the treadmill. The linear speed does not have to be zero, you can change the linear speed of the pen and you will see the rotating speed change accordingly.
If the Linear speed of the plane is not 0, then it can either move forward and take off, or it will move backwards and fall off the treadmill, and the whole experiment is flawed.
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Old 06-04-2009, 03:26 PM   #4
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Originally Posted by MediaCenterJunkie View Post
If the Linear speed of the plane is not 0, then it can either move forward and take off, or it will move backwards and fall off the treadmill, and the whole experiment is flawed.
Try turning on a treadmill, holding the pen still, but pushing the roll down on the treadmill. The linear speed and rotating speed are still linked, but in relation to the speed of the treadmill, not the speed of the ground (0). That is much more similar to the question.
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Old 06-04-2009, 03:32 PM   #5
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Quote:
Originally Posted by MagicHef View Post
Try turning on a treadmill, holding the pen still, but pushing the roll down on the treadmill. The linear speed and rotating speed are still linked, but in relation to the speed of the treadmill, not the speed of the ground (0). That is much more similar to the question.
Okay, I see that.

So basically the question is can a Plane take off without moving forward relative to the ground? Regardless of whether or not it is moving relative to the treadmill, its not moving relative to the ground, so of course it cant.

But the original question just asked about the speed of the wheels relative to the treadmill, not the plane.
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Old 06-04-2009, 03:34 PM   #6
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Quote:
Originally Posted by MediaCenterJunkie View Post
Okay, I see that.

So basically the question is can a Plane take off without moving forward? Regardless of whether or not it is moving relative to the treadmill, its not moving relative to the ground, so of course it cant.

But the original question just asked about the wheels, not the plane.
Yes. The question could certainly be worded much better. I probably should have edited it when I copied it.
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