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| Tags: infinity, inverse, law, square |
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#1
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This is obviously a silly question but:
If you take the inverse square law (a = 1/b^2) to 0 (b -- 0) then a seems to go to infinity. This doesn't really make sense for physical systems like power attenuation (I = P / (4*pi*r^2)). What am I missing? Selwyn-Lloyd |
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#2
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On 2008-03-03 21:15:42 -0800, Sam Wormley said:
Selwyn-Lloyd McPherson wrote: This is obviously a silly question but: If you take the inverse square law (a = 1/b^2) to 0 (b -- 0) then a seems to go to infinity. This doesn't really make sense for physical systems like power attenuation (I = P / (4*pi*r^2)). What am I missing? Selwyn-Lloyd b can't really go to zero.... that's a physical limitation for most systems. But very close to it? |
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#3
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"Selwyn-Lloyd McPherson" wrote in message ... On 2008-03-03 21:15:42 -0800, Sam Wormley said: Selwyn-Lloyd McPherson wrote: This is obviously a silly question but: If you take the inverse square law (a = 1/b^2) to 0 (b -- 0) then a seems to go to infinity. This doesn't really make sense for physical systems like power attenuation (I = P / (4*pi*r^2)). What am I missing? Selwyn-Lloyd b can't really go to zero.... that's a physical limitation for most systems. But very close to it? b is the distance between _centers_ (of mass, of charge) of two different bodies so it is just about impossible to get them extremely close. |
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#4
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The universe is finite. Negative curved (like a saddle) and yet the
volume of the universe has to be unbounded Go figure Bert |
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#5
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On 2008-03-04 21:22:26 -0800, "Insipid Halogen Name"
said: "Selwyn-Lloyd McPherson" wrote in message ... On 2008-03-03 21:15:42 -0800, Sam Wormley said: Selwyn-Lloyd McPherson wrote: This is obviously a silly question but: If you take the inverse square law (a = 1/b^2) to 0 (b -- 0) then a seems to go to infinity. This doesn't really make sense for physical systems like power attenuation (I = P / (4*pi*r^2)). What am I missing? Selwyn-Lloyd b can't really go to zero.... that's a physical limitation for most systems. But very close to it? b is the distance between _centers_ (of mass, of charge) of two different bodies so it is just about impossible to get them extremely close. My misunderstanding was that total whatever somehow goes to infinity when in reality it is just that the quantity whatever / (dimension - 1) goes to infinity, which is obvious. Selwyn-Lloyd |
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#6
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"Selwyn-Lloyd McPherson" wrote in message
... If you take the inverse square law (a = 1/b^2) to 0 (b -- 0) then a seems to go to infinity. Sam Wormley said: b can't really go to zero.... that's a physical limitation for most systems. "Insipid Halogen Name" said: b is the distance between _centers_ (of mass, of charge) of two different bodies so it is just about impossible to get them extremely close. hanson wrote: in Newton's F = G*m*M/r^2, of course, "r" can't go to zero, because any "m" requires a positive "r"... There were very recently a bunch of threads that dealt with the r-min conditions, including whether "G" is really constant, since only the product of "G*m" can be measured to great exactness, but NOT so the value of "G" alone. GR tried to improve the situation, but as long as it uses Newton's "G" in all of its solutions, this Einstein crock n'crap is not any better than Newton's. It is equally funny to muse over F = G*m*M/r^2 with "r" going to infinity where according to the equation F only becomes zero at infinity... However currently accepted speculation says that this is wrong because F is already zero when "r" reaches the distance to the light wall, "R", the radius the observable universe, from beyond which we cannot "feel" any force any more, F(R) = 0 .... ahahaha... One can make the same spiel with the EM charge 1/r^2 law... and show that the EM reach is not infinite, because it turns out that at a separation distance of the cosmic "R" between 2 elementary electrical charges they will neither attract nor repel each other any more, since (amongst other reasons) the time required to "feel" each other will exceed the time "t" that the observable universe allegedly has existed. And to make matter seven more hilarious throw in the HUP, ~E=h*t, and estimate the remaining energy & fore between 2 charges under these theoretically but not practically observable conditions... ahahaha... Enjoy all these mental bullsherations, dudes, but always remember that only $4 with or without such knowledge will buy you a cup of coffee... Thanks for the laughs.... ahahaha... ahahahanson |
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#7
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"hanson" wrote in message news:ULCzj.15477$e_.6031@trnddc03... | "Selwyn-Lloyd McPherson" wrote in message | ... | If you take the inverse square law (a = 1/b^2) to 0 (b -- 0) | then a seems to go to infinity. | | Sam Wormley said: | b can't really go to zero.... that's a physical limitation for most | systems. | | "Insipid Halogen Name" said: | b is the distance between _centers_ (of mass, of charge) of two different | bodies so it is just about impossible to get them extremely close. | | hanson wrote: | in Newton's F = G*m*M/r^2, of course, "r" can't go to zero, because | any "m" requires a positive "r"... There were very recently a bunch | of threads that dealt with the r-min conditions, including whether "G" | is really constant, since only the product of "G*m" can be measured | to great exactness, but NOT so the value of "G" alone. GR tried to | improve the situation, but as long as it uses Newton's "G" in all of its | solutions, this Einstein crock n'crap is not any better than Newton's. | | It is equally funny to muse over F = G*m*M/r^2 with "r" going to infinity | where according to the equation F only becomes zero at infinity... | However currently accepted speculation says that this is wrong | because F is already zero when "r" reaches the distance to the light | wall, "R", the radius the observable universe, from beyond which we | cannot "feel" any force any more, F(R) = 0 .... ahahaha... | | One can make the same spiel with the EM charge 1/r^2 law... and | show that the EM reach is not infinite, because it turns out that at a | separation distance of the cosmic "R" between 2 elementary electrical | charges they will neither attract nor repel each other any more, since | (amongst other reasons) the time required to "feel" each other will | exceed the time "t" that the observable universe allegedly has existed. | And to make matter seven more hilarious throw in the HUP, ~E=h*t, | and estimate the remaining energy & fore between 2 charges under | these theoretically but not practically observable conditions... ahahaha... | | Enjoy all these mental bullsherations, dudes, but always remember | that only $4 with or without such knowledge will buy you a cup of coffee... | Thanks for the laughs.... ahahaha... ahahahanson | I've asked long ago what the real function is but there were no takers: http://www.androcles01.pwp.blueyonde...erseSquare.jpg On the right is the standard inverse square. Once below the surface the force diminishes rapidly to zero, if you bore a hole to the centre you weigh nothing when reach it. Exactly at the surface, R / radius(M) = 1 by definition. All that means is the radius R at the planet's surface is the radius of the larger body. Hence we must have something like: F = GMm/(R^2) for R radius(M) F = GMm /(1^2) = GMm * (1^2) for R = radius(M) F = GMm * R^2 for R radius(M) When R = 0, F = 0. But that isn't quite right, I've not included r = radius(m). I leave it to the reader to state the actual equation that includes r = radius(m). Hint: (R+r)^2 On the left is a different but related problem that is beyond the capabilities of this crowd. |
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#8
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On Thu, 06 Mar 2008 02:32:29 GMT, "Androcles"
wrote: I've asked long ago what the real function is but there were no takers: http://www.androcles01.pwp.blueyonde...erseSquare.jpg Go and sue your elementary school teachers, for not having been able to teach you the basic math skills, Androcles. Private lessons & coaching have their price, and you forgot to offer a reasonable fee plus compensatory hardship allowance for instructing YOU 1 / x and 1 / x^2 equations. ahhahahaha... w. (TOFU) On the right is the standard inverse square. Once below the surface the force diminishes rapidly to zero, if you bore a hole to the centre you weigh nothing when reach it. Exactly at the surface, R / radius(M) = 1 by definition. All that means is the radius R at the planet's surface is the radius of the larger body. Hence we must have something like: F = GMm/(R^2) for R radius(M) F = GMm /(1^2) = GMm * (1^2) for R = radius(M) F = GMm * R^2 for R radius(M) When R = 0, F = 0. But that isn't quite right, I've not included r = radius(m). I leave it to the reader to state the actual equation that includes r = radius(m). Hint: (R+r)^2 On the left is a different but related problem that is beyond the capabilities of this crowd. |
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#9
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On Mar 6, 9:01*am, Helmut Wabnig hwabnig@ .- --- -. DOT .- t wrote:
On Thu, 06 Mar 2008 02:32:29 GMT, "Androcles" wrote: I've asked long ago what the real function is but there were no takers: *http://www.androcles01.pwp.blueyonde...erseSquare.jpg Go and sue your elementary school teachers, for not having been able to teach you the basic math skills, Androcles. Private lessons & coaching have their price, and you forgot to offer a reasonable fee plus compensatory hardship allowance for instructing *YOU * * 1 / x and 1 / x^2 *equations. ahhahahaha... w. (TOFU) On the right is the standard inverse square. Once below the surface the force diminishes rapidly to zero, if you bore a hole to the centre you weigh nothing when reach it. Exactly at the surface, R / radius(M) = 1 by definition. All that means is the radius R at the planet's surface is the radius of the larger body. Hence we must have something like: F = GMm/(R^2) for R radius(M) F = GMm /(1^2) *= *GMm * (1^2) *for R = radius(M) F = GMm * R^2 for R radius(M) When R = 0, F = 0. But that isn't quite right, I've not included r = radius(m). I leave it to the reader to state the actual equation that includes r = radius(m). Hint: (R+r)^2 On the left is a different but related problem that is beyond the capabilities of this crowd.- Hide quoted text - - Show quoted text - ----------------- your basic school didnt teach you NOT TO BE A little PARROT !! may be we will ! while you will grow a bit older (:-) Y.P ----------------------------------- |
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#10
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On Mar 5, 9:45*pm, "hanson" wrote:
"Selwyn-Lloyd McPherson" wrote in message ... If you take the inverse square law (a = 1/b^2) to 0 (b -- 0) then a seems to go to infinity. Sam Wormley said: b can't really go to zero.... that's a physical limitation for most systems. "Insipid Halogen Name" said: b is the distance between _centers_ (of mass, of charge) of two different bodies so it is just about impossible to get them extremely close. hanson wrote: in Newton's F = G*m*M/r^2, of course, "r" can't go to zero, because any "m" requires a positive "r"... There were very recently a bunch of threads that dealt with the *r-min conditions, including whether "G" is really constant, since only the product of "G*m" can be measured to great exactness, but NOT so the value of "G" alone. *GR tried to improve the situation, but as long as it uses Newton's "G" in all of its solutions, this Einstein crock n'crap is not any better than Newton's. It is equally funny to muse over F = G*m*M/r^2 with "r" going to infinity where according to the equation F only becomes zero at infinity... However currently accepted speculation says that this is wrong because F is already zero when "r" reaches the distance to the light wall, "R", the radius the observable universe, from beyond which we cannot "feel" any force any more, F(R) = 0 .... ahahaha... One can make the same spiel with the EM charge 1/r^2 law... and show that the EM reach is not infinite, because it turns out that at a separation distance of the cosmic "R" between 2 elementary electrical charges they will neither attract nor repel each other any more, since (amongst other reasons) the time required to "feel" each other will exceed the time "t" that the observable universe allegedly has existed. And to make matter seven more hilarious throw in the HUP, ~E=h*t, and estimate the remaining energy & fore between 2 charges under these theoretically but not practically observable conditions... ahahaha.... Enjoy all these mental bullsherations, dudes, but always remember that only $4 with or without such knowledge will buy you a cup of coffee.... Thanks for the laughs.... ahahaha... ahahahanson ----------- right !! amthematiciance that call themselves physicists donot know that each physical mathematicalformula HAS ITS LIMITS OF VALIDATION !! iow there is not all over overlap between the mathematical formula and physical reality 2 i can explain what you saied about a force becoming zero even before infinit distance: just think about all attraction agents *as not moving in straight lines* *but moving **naturally** in a curved line!!! pleae not that 'naturally' - no one is forcing it to do it- it is just as it was 'born' to behave once the force line is curved it cant reach to infinity !! iow it ends its action even much before infinity because the curved line causes it to go back (as sort of a fountain) muchj more before infinity now just think about the CIRCLON .... (:-) as a force agent !! ATB Y.Porat ----------------------- |
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