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Hi Paul,
As I understand it there will be no pulling force acting on the inside of the canopy. This is admittedly counter-intuitive to anyone who tried the following bored-in-science-lab experiment; if we place a pipette against our skin and release the nipple, our skin feels as if it is being pulled towards the low pressure. In fact the higher pressure inside our flesh is pushing our flexible skin towards the low pressure area. Back to gliding, which always tends to distance itself from the world of skin and nipples, this does imply that any minute pockets of trapped air in the canopy might pull- sorry, might cause the very insidemost parts of the canopy to be PUSHED in towards the low pressure within the suction cup, potentially damaging the canopy. However, I presume such pockets don't exist; there would be visible depressions in the canopy where these pockets had cooled after the forming of the canopy, and any such pockets would be just/almost as prone to deforming the canopy during a high wave flight. Without the existance of air pockets, I reckon the situation would be just as I described before - complete with disclaimer.. Simon At 21:24 12 April 2007, Paul Remde wrote: Hi Simon, I don't think the issue is how much pressure the outside air pressure can put upon the outside of the canopy. The issue is that the suction cup is shaped like a ... well... a cup. It has enough force to pull the canopy to form to the shape of the inside of the cup. That causes local stresses on the canopy. It may or may not be a visible deformation. Paul Remde |
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Just so we all agree on the laws of physics, any force exerted on the
canopy by a suction cup is due to the differential in pressure on one side of the plex vs. the other. trapped air bubbles in the plex would not have an effect. air pressure at sea level is about 14.7 PSI. Assuming the suction cup pulled a perfect vacuum (unlikely) and it had a diameter of 2", then the maximum possible force would be: Pi*D*14.7=92.4 lbs of force. Not insignificant. Another way to look at this is that it would require 95 lbs of force to pull the suction cup off the canopy. At 6000' atmospheric pressure drops to about 12 psi, yielding 75lbs of force. Still pretty high. Note that deflection of the canopy in this area would be pretty small, but stress internal to the material would be high. Low temperatures, UV exposure, etc would exacerbate the issue. In reality, a suction cup probably doesn't come anywhere close to pulling a perfect vacuum, so the numbers would be much lower, but I couldn't guess how much. I can't offer any analysis on skin/nipple distances. Matt (jr) On Apr 13, 4:03 am, Simon Taylor wrote: Back to gliding, which always tends to distance itself from the world of skin and nipples, this does imply that any minute pockets of trapped air in the canopy might pull- sorry, might cause the very insidemost parts of the canopy to be PUSHED in towards the low pressure within the suction cup, potentially damaging the canopy. However, I presume such pockets don't exist; there would be visible depressions in the canopy where these pockets had cooled after the forming of the canopy, and any such pockets would be just/almost as prone to deforming the canopy during a high wave flight. Without the existance of air pockets, I reckon the situation would be just as I described before - complete with disclaimer.. the canopy. It may or may not be a visible deformation. |
#3
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Why is the maximum possible force Pi*D*14.7 ?
"Matt Herron Jr." wrote in message ups.com... Just so we all agree on the laws of physics, any force exerted on the canopy by a suction cup is due to the differential in pressure on one side of the plex vs. the other. trapped air bubbles in the plex would not have an effect. air pressure at sea level is about 14.7 PSI. Assuming the suction cup pulled a perfect vacuum (unlikely) and it had a diameter of 2", then the maximum possible force would be: Pi*D*14.7=92.4 lbs of force. Not insignificant. Another way to look at this is that it would require 95 lbs of force to pull the suction cup off the canopy. At 6000' atmospheric pressure drops to about 12 psi, yielding 75lbs of force. Still pretty high. Note that deflection of the canopy in this area would be pretty small, but stress internal to the material would be high. Low temperatures, UV exposure, etc would exacerbate the issue. In reality, a suction cup probably doesn't come anywhere close to pulling a perfect vacuum, so the numbers would be much lower, but I couldn't guess how much. I can't offer any analysis on skin/nipple distances. Matt (jr) On Apr 13, 4:03 am, Simon Taylor wrote: Back to gliding, which always tends to distance itself from the world of skin and nipples, this does imply that any minute pockets of trapped air in the canopy might pull- sorry, might cause the very insidemost parts of the canopy to be PUSHED in towards the low pressure within the suction cup, potentially damaging the canopy. However, I presume such pockets don't exist; there would be visible depressions in the canopy where these pockets had cooled after the forming of the canopy, and any such pockets would be just/almost as prone to deforming the canopy during a high wave flight. Without the existance of air pockets, I reckon the situation would be just as I described before - complete with disclaimer.. the canopy. It may or may not be a visible deformation. |
#4
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John Wilton wrote:
Why is the maximum possible force Pi*D*14.7 ? Physics 101. Area of the suction cup in sq. in. multiplied by atmospheric pressure at sea level. -- martin@ | Martin Gregorie gregorie. | Essex, UK org | |
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Martin Gregorie wrote:
John Wilton wrote: Why is the maximum possible force Pi*D*14.7 ? Physics 101. Area of the suction cup in sq. in. multiplied by atmospheric pressure at sea level. John, the formula for area is Pi*r*r. Pi*d is circumference. I'm not a physicist, but I think you're looking at this problem all wrong. Which is rigid, the canopy or the suction cup? The suction cup which Paul was recommending earlier is soft rubber. So the deformation is there. The only force on the canopy is that caused by the deformation of the rubber, plus the torque or weight applied to the mount. I happen to have that suction cup in my hand right now, and I estimate that it takes about 10 pounds of force to compress it. Then, after compression, that same 10 pounds is trying to spring back, but is being prevented by the vacuum. This load is continuously applied as a bending load trying to deform a disk of plexiglass the size of the cup. Plexiglass is pretty stiff, I've never seen any deformation of the canopy when the cup is on. I'm certain that at no time is the stress greater than when you apply the cup. If one were to put their hand on the outside of the canopy at the same time to provide counter pressure, that stress could be reduced to almost nil. That cup is 4 inches in diameter, or 2 inches radius. The release force would be 2*2*3.14*14.7, or about 185 pounds, assuming the suction was perfect. Now, my Dell Axim which I use this way weighs about 1/2 pound, and when hooked to the cup, it has a moment arm of about 6 inches with the mount I bought from Paul. That's 1/2 pound * 1/2 foot, or 1/4 foot pound of torque being applied to the mount. And, I don't think that is increasing the overall force exerted, it's just redistributing the 10 pounds of compression force over the disk area. And if you put the suction cup on properly, there is almost no air inside there, certainly less than 10%, so it is probably 90% of a perfect vacuum. Now, it you tried to pull the suction cup straight off, that would apply the maximum force to the canopy, and as the cup started to pull off, the volume inside would try to increase, making the vacuum even greater. But if you remove it by pulling the little tab, then it's released with almost no force because the vacuum is broken. The bottom line for me in this is that I think I'd be most careful when installing and removing the cup. I won't worry too much about the loads it applies in use. Ed |
#6
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Ed Winchester wrote:
Martin Gregorie wrote: John Wilton wrote: Why is the maximum possible force Pi*D*14.7 ? Physics 101. Area of the suction cup in sq. in. multiplied by atmospheric pressure at sea level. John, the formula for area is Pi*r*r. Pi*d is circumference. I should have spotted that: my bad. However my point, that the maximum possible force that can be exerted is the pressure per unit area times the area, is still valid. This is the highest force that can be applied if you try to pull the cup straight off the canopy without twisting it, sliding it, or lifting its edge. I happen to have that suction cup in my hand right now, and I estimate that it takes about 10 pounds of force to compress it. Then, after compression, that same 10 pounds is trying to spring back, but is being prevented by the vacuum. Quite true unless you pull on it at right angles to the panel. That cup is 4 inches in diameter, or 2 inches radius. The release force would be 2*2*3.14*14.7, or about 185 pounds, assuming the suction was perfect. Now, my Dell Axim which I use this way weighs about 1/2 pound, and when hooked to the cup, it has a moment arm of about 6 inches with the mount I bought from Paul. That's 1/2 pound * 1/2 foot, or 1/4 foot pound of torque being applied to the mount. And, I don't think that is increasing the overall force exerted, it's just redistributing the 10 pounds of compression force over the disk area. I'd restate that a bit. The Axim is applying a downward force of 1/2 lb at the end of a 6 inch lever, so that is, as you say, 1/4 foot-lb. But, that is being resisted by a counterbalancing torque thats conventionally represented as a point force acting at the center of the cup at the end of a lever that is pivoted at the cup's lower edge: visualize the cup peeling off the canopy: it cones unstuck and detached by swinging round its lowest edge. This is also a 1/4 foot-lb, but the lever is only 2 inches, so the outward force on the cup is 1.5 pounds weight. Higher than your estimate, but still tiny compared with the force needed to detach the cup. The bottom line for me in this is that I think I'd be most careful when installing and removing the cup. I won't worry too much about the loads it applies in use. Agreed. -- martin@ | Martin Gregorie gregorie. | Essex, UK org | |
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