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#161
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![]() Richard Harrison wrote: There was a PBS special here today on "The Method" one of the books written by Archimedes, a copy of which was recently sold at auction for 2 million dollars. Very interesting program. Archimedes apparently developed an elementary calculus involving infinity 300 years before Jesus was born. -- 73, Cecil http://www.qsl.net/w5dxp Aristotle wrote that the Greek mathematicians didn't have any need for infinity and never used it. Archimedes said that his "Method" wasn't a proof but a means of mathematical exploration. He also said that Democritus used infinitesimal methods before he did. Democritus was born around 460 B.C. The Babylonians... aw, forget it. 73, Tom Donaly, KA6RUH |
#163
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On Wed, 1 Oct 2003 00:36:15 -0500 (CDT),
(Richard Harrison) wrote: Gene Nygaard wrote: "What is the relevant factor here -- that it is pressing down with a force due to gravity of 9000 pounds due to gravity of 9000 pounds force? Or that it has a mass of 9000 pounds? The tonnage of a ship is the weight of the water it displaces. The force pressing down (normal force) in mechanical problems is significant when friction is involved. Force equals mass time acceleration. So, the mass opposes and increases the force required to get an object moving, or slowed, for that matter. That includes a ship. It has inertia and requires force to change its velocity. Drag is imposed on the submerged portion of the hull, especially when coated with barnacles. I shipped out of Long Beach in WW-2 on the LSM 472. I returned to San Francisco on the LSM 94. I was transferred to the LST 604 to take it up river to Stockton to be decomissioned and scrapped. While at the ship yard there I witnessed a curious sight. A large merchant vessel was moved from one berth to another using a small boat with an outboard motor as the tow boat. River current in the basin was almost nil, yet it took several hours to move that large ship with the power of only an outboard motor. It worked! There must have been nothing more powerful available and there must have been no rush to get the berth swap made. Point is that it is likely that neither mass nor weight is as important as current in many situations. How soon you can get up to speed depends a lot on mass as Newton predicts. That motorboat would have done its thing much more quickly with a waterskier in tow than it did with a big merchant ship in tow. So what is the SI equivalent of those 27,561 tons deadweight for that U.S. Navy ship? Gene Nygaard http://ourworld.compuserve.com/homepages/Gene_Nygaard/ |
#164
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Here I thought Arkie was a fundamentalist/traditionalist who fatfingered in
CCCLV divided by CXIII and CXCIII by LXXI on his GO34 in order to insert constants into his equations. 73, Dave, N3HE "Richard Harrison" wrote in message ... SNIP Archimedes inscribed the largest regular polygon ithat would fit inside a circle. Next he drew outside the circle a similar regular polygon touching the circle on all sides and having its sides parallel to the polygon sides inside the circle. Then he increased the number of sides of his polygons until they totaled 96. He decided a 96-side, equal-sided, figure was close enough to a circle for practical purposes. He also knew that a real circle would have a circumference somewhere between the circumferences of his inside and outside polygons. Also, the circumferences of his inside and outside figures were very nearly the same anyway. The tape measure must not have yet been invented, so Archimedes must have measured the sides of his figures with a straight ruler. He used the sums of the polygon sides to arrive at the circumference of his figures. From these constructions and measurements, Archimedes arrived at a figure of 3.1416 for the ratio of circumference to the diameter of a circle (pi). That`s still close enough for most purposes to this very day. SNIP Best regards, Richad Harrison, KB5WZI |
#165
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Gene wrote,
So what is the SI equivalent of those 27,561 tons deadweight for that U.S. Navy ship? Gene Nygaard http://ourworld.compuserve.com/homepages/Gene_Nygaard/ I asked first. Why are you spamming the newsgroup with off-topic posts? 73, Tom Donaly, KA6RUH |
#166
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On 01 Oct 2003 14:59:45 GMT, (Tdonaly) wrote:
Gene wrote, So what is the SI equivalent of those 27,561 tons deadweight for that U.S. Navy ship? Gene Nygaard http://ourworld.compuserve.com/homepages/Gene_Nygaard/ I asked first. Why are you spamming the newsgroup with off-topic posts? You seem to be operating under several delusions. I'm not spamming. I didn't start this discussion. The discussion I entered was not off topic here. You yourself, while you have contributed to the on-topic discussion, have also been responsible for more thread drift in this thread than anyone else. Democritus? Good grief! There wasn't anything on-topic in the message in which you brought him up. What connection do you find between him and the definition of ohms, and the inaccurate analogy using faulty defintions of pounds that lead to my entry into the discussion? Gene Nygaard http://ourworld.compuserve.com/homepages/Gene_Nygaard/ |
#167
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On Wed, 01 Oct 2003 08:54:56 GMT, Gene Nygaard
wrote: On Wed, 1 Oct 2003 00:36:15 -0500 (CDT), (Richard Harrison) wrote: Gene Nygaard wrote: "What is the relevant factor here -- that it is pressing down with a force due to gravity of 9000 pounds due to gravity of 9000 pounds force? Or that it has a mass of 9000 pounds? The tonnage of a ship is the weight of the water it displaces. The force pressing down (normal force) in mechanical problems is significant when friction is involved. Force equals mass time acceleration. So, the mass opposes and increases the force required to get an object moving, or slowed, for that matter. That includes a ship. It has inertia and requires force to change its velocity. Drag is imposed on the submerged portion of the hull, especially when coated with barnacles. I shipped out of Long Beach in WW-2 on the LSM 472. I returned to San Francisco on the LSM 94. I was transferred to the LST 604 to take it up river to Stockton to be decomissioned and scrapped. While at the ship yard there I witnessed a curious sight. A large merchant vessel was moved from one berth to another using a small boat with an outboard motor as the tow boat. River current in the basin was almost nil, yet it took several hours to move that large ship with the power of only an outboard motor. It worked! There must have been nothing more powerful available and there must have been no rush to get the berth swap made. Point is that it is likely that neither mass nor weight is as important as current in many situations. How soon you can get up to speed depends a lot on mass as Newton predicts. That motorboat would have done its thing much more quickly with a waterskier in tow than it did with a big merchant ship in tow. So what is the SI equivalent of those 27,561 tons deadweight for that U.S. Navy ship? Let me open it up to everyone, and make it a multiple choice: 1. 245.19 MN 2. 245.19 hectopascals 3. 2.5003 x 10^7 kg 4. 28.003 Gg 5. 2.1892 x 10^8 newtons 6. 28 003 metric tons 7. 25 003 metric tons force 8. to have five significant digits, it depends on the latitude of the ship 9. all of the above 10. none of the above Does your answer fit in with Richard Harrison's description above? Does it fit with what any shipbuilder or any navy uses? Gene Nygaard http://ourworld.compuserve.com/homepages/Gene_Nygaard/ |
#168
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Gene wrote,
You seem to be operating under several delusions. I'm not spamming. I didn't start this discussion. The discussion I entered was not off topic here. You yourself, while you have contributed to the on-topic discussion, have also been responsible for more thread drift in this thread than anyone else. Democritus? Good grief! There wasn't anything on-topic in the message in which you brought him up. What connection do you find between him and the definition of ohms, and the inaccurate analogy using faulty defintions of pounds that lead to my entry into the discussion? Gene Nygaard http://ourworld.compuserve.com/homepages/Gene_Nygaard/ Nope, you're spamming. The subject you keep harping on has very little to do with antennas. Evidently, it's so overwhelmingly important to you that you're willing to hand out gratuitous insults and a never-ending series of posts to those you perceive as not agreeing with your narrow understanding of the subject. I'm reminded of Samuel Johnson's friend who only had one idea in his head, and that a wrong one. While you're not alone here in being possessed of an overwhelming obsession, at least the obsessions of the others bear some relation to antenna and transmission line theory. Personally, I don't much care what you do, but I'm curious as to why you do it. How can such a small idea trigger such a large obsession? 73, Tom Donaly, KA6RUH |
#169
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Raymond Sirois wrote:
"A 60-pound object on earth will have a weight of 10 pounds on the moon." That`s about right. Gravitational force on the moon is about 0.16 times that on earth. If a mass of 60 pounds is suspended from a weight scale on earth, the force on the scale registers 60 pounds. As Cecil noted, gravitational force is a vector. Its direction is toward the center of the mass that exerts the attraction. A spring scale free to align itself will measure 60 pounds tension no matter where the 60-pound pul on it comes from. On the moon the object with a 60-pound attraction to the earth only exerts a 9.6-pound pull on the spring scale. The object did not change. The spring scale did not change. The mass of the moon is much smaller than that of the earth, so its attraction is proportionally less. A weight balance scale would behave differently from the spring balance scale. The balance weights and positions would be almost unaffected by the change in gravitaional force because the forces on both scale and balance weights change in the same proportion. A weight balance scale would usually employ a balancing weight much smaller than 60 pounds to balance a weight of 60 pounds. The balance is struck with a smaller weight through leverage..It`s a teeter-totter with the measured quantity getting the short end of the stick. Balance remains at the same spot regardless of the gravitational pull on both ends of the balance beam. It`s the torques which balance. When we change the gravitational force, we multiply both sides of the balance equation by the same factor. The spring balance is calibrated for the force of gravity on a mass residing near the earth`s surface. The weight balance is calibrated for the same gravitational attraction on earth. On the moon the spring scale indicates about 10 pounds for an earth weight of 60 pounds. On the moon, the weight balance scale still indicates 60 pounds, though the gravitational pull is only about 10 pounds. Best regards, Richard Harrison, KB5WZI |
#170
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Gene Nygaard wrote:
They are incorrect in the doctor's office, and even more incorrect in the supermarket or the jewelry store. Like I said, you don't have to call the quantities used there "weight"--but if you do call them weight, use the definition which is correct in that context. Don't misinterpret what is being used there. Do you know what you're talking about Gene? Cuz I sure don't. It's generally accepted that weight is a force. I've shown in this thread from the experts in the field, including NIST (the U.S. national standards agency) and ASTM (an industry standards agency) and NPL (the U.K. national standards agency) and the Canadian Standard for Metric Practice, that this is false. I don't agree. All of these sources and many others tell you that weight is an ambiguous word, with several different meanings. What physical quantity do you think a grocery store scale measures? Problems can arise when someone claims a mass is a force and vice versa. I agree. And so a torque wrench has what kind of units printed on its scale - mass and distance, or force and distance? You could, of course, argue that we should all change to your usage. Many people already have, obviously. Not very many, surprisingly. Just the ones who write physics books maybe? It is much more common to find people claiming, erroneously, that there is some error in that usage. You're the first guy I've ever seen making claims about errors in usage. Like slugs, poundals only exist in one limited purpose system of mechanical units, mostly used to simplify calculations. But you'd like us to believe the unit of mass in that system is ubiquitous and universal, and that everybody is wrong! 73, Jim AC6XG |
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