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#261
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On Fri, 03 Mar 2006 19:05:18 -0500, Morgans wrote:
"00:00:00Hg" wrote I thought resistance was useless. Nah, it's "resistance is fruitile." g I think I'll have an apple and see if eating it will reveal the secrets of gravity as I gaze at the Moon. |
#262
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![]() "00:00:00Hg" wrote I thought resistance was useless. Nah, it's "resistance is fruitile." g -- Jim in NC |
#263
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![]() "00:00:00Hg" wrote I think I'll have an apple and see if eating it will reveal the secrets of gravity as I gaze at the Moon. Yeah, but can you tell me the horizontal and vertical components of it's momentum? I was thinking apple, but I need two; I'll have a pear, instead. g -- Jim in NC |
#264
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On Fri, 03 Mar 2006 21:06:30 -0500, Morgans wrote:
I think I'll have an apple and see if eating it will reveal the secrets of gravity as I gaze at the Moon. Yeah, but can you tell me the horizontal and vertical components of it's momentum? Not any more, I'll have to pick another. Not the Moon... it has no stem. |
#265
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You are looking here at the basic question of how does the
starting vortex form. No, I'm also looking at how it is maintained. You have staked out the position that a ground is required for the vortex to form. No, I've staked out a position that the ground is required for there to be no net momentum change. The ground is ultimately what the air (given downward momentum) bounces against, either for real or by proxy. Granted this is not what provides lift, but it does provide the ultimate support when the wheels themselves leave the ground. Do we agree or disagree that the "wave" i.e. starting vortex, however it got started can continue in the absence of the ground? We agree. I do not see however how it can continue in the absence of energy, and I still maintain that in order to cancel out mv^2/2 of the wing (which otherwise would be falling), there has to be (locally) an equal mv^2/2 which the air acquires, and spreads out over the surface of the earth (where it bounces off, keeping the earth away). Like a dribbler who supports himself by dribbling, there is lots of momentum transfer (to the ball, back and forth), which, while it nets to zero, only does so because of the earth. IF there were no earth, the ball would never bounce back. That is not the same as what you seem to think I am maintaining: that without a ground an infinite wing would require a constant input of infinite energy to accelerate the air and give it momentum (and kinetic energy) for the uncanceled downwash. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#266
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An object moving through air doesn't cause any significant compression
(change in volume) of the air until its speed gets close to the speed of sound. Is there not a (slight) pressure increase in front of any object, especially a blunt one, moving through the air? (if not, what causes the air to get out of the way, and what causes the breezes as it goes past?) Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#267
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The distinction is that a compressible fluid (commonly called gas)
undergoes a volume change proportionate to the pressure change Well, when an object passes through the air, does it not compress the air in front of it (and rarefy the air behind it)? This is how speakers work. Those are all pressure changes. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#268
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In open air the volume of air moving around the fan is larger,
but moving at a lower speed than the air moving through the fan so that the momenta of the flow in either direction is equal magnitude and opposite in direction to the flow in the other direction. Seems to me "almost equal" would make more sense, otherwise an airplane propeller would not work. A propeller throws air backwards (alabeit imperfectly); the airplane moves forwards in response. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#269
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What is the net momentum change when the airplane falls to the ground?
The vertical compenent first rises from zero to Vt * M where Vt is the terminal velocity of the falling aircraft and M is the mass of the falling aircraft. Then the vertical component of momentum RAPIDLY drops to zero again after the aircraft contacts the ground. Well, actually, only sorta. The momentum of the airplane is equal to the momentum of the earth, except in sign. Net is zero. The center of mass of the earth/airplane does not move. Leave the earth out of it and just look at the aircraft, and you are correct. And to keep an airplane up, in view of this acceleration, an opposite acceleration needs to be applied. Air must be thrown down with sufficient (net) force to counteract gravity's attempt to accelerate the wing downwards. All this air piles up against the earth (just a little bit, but enough that, when multplied over the earth's surface it adds up to the weight of the aircraft) Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#270
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Jose wrote:
The hovering spacecraft has zero horizontal and vertical momentum. It has weight, directed downwards. The engine accelerates mass downward producing an upward force equal in magnitude and opposite in direction to the weight of the spacecraft. This imparts an acceleration to the spacecraft equal in magnitude and opposite in direction from the local acceleration due to gravity. The flying wing has some horizontal momentum which is secondary here, How much? and zero vertical momentum. It also has weight, directed downwards. The wing accelerates mass downward (mass it finds in the air molecules) producing an upward force equal in magnitude and opposite in direction to the weight of the wing (and its presumably attached aircraft. It does so by finding air in front of it, flinging it downwards and forwards (which causes the air in front to try to get out of the way by rising). In the steady state, one can measure high pressure below and low pressure above, but this is just the macroscopic manifestation of the greater number of molecular collisions below, and the lesser number of collisions above. That's what pressure is - we have both agreed on this. The greater number of collisions below imparts an acceleration to the aircraft equal in magnitude and opposite in direction from the local acceleration due to gravity. I agree that lift is a force, exerted on the aircraft by the air, which in steady level flight is equal in magnitude and opposite in direction to the weight of the aircraft. Energy is 'pumped' into the air by the plane. There is no need for a net momentum exchange between the airplane and the air in order for energy to be exchanged or for forces to be applied. Indeed, in those last two paragraphs above, you make no mention of momentum. BTW, I was wrong to invoke conservation of momentum. Momentum is conserved in elastic collisions, like the collision between a cue ball and the eight ball. Momentum is not conserved in inelastic collisions, like the collision between a cue ball and a nerf ball. Roll the airplane into a 90 degree bank. The weight is now orthogonal to the lift. As teh airplane falls, it banks even though there is no Earth 'under' the belly. Why? -- FF |
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