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| Tags: derivation, generic, measures, weights |
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#1
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The base units of any system of weights and measures are units that are
defined by reference to some external "standard". This external standard is arbitrary, but should be of a convenient size, and weight, and as unchanging as possible: The weight of one pound of pure water at Paris, or anywhere; at atmosphereic pressure and a temperature of 39.2 degrees F. was found to be such a standard, and was chosen as an artifact to which other quantities of matter could be referenced: However it was decided, that, for all practical purposes, a more durable metal standard would serve the same purpose, and such metal standards were manufactured. The criteria being that their weight, when divided by the acceleration (g) at which they will free fall at the location where they are weighed, is a constant (w/g). A standard length of the same metal was manufactured, and the distance between two marks on it was agreed upon as the standard unit of length. one/3600th part of a 24 hour day - one second - became the standard unit of time. The unit quantity of matter, was to be the quantity equal to the weight of one unit of force exerted on and/or by this quantity, divided by the acceleration of free fall (g), at the location where the weight is measured: So that w/g is a constant; equal to the net force (f) exerted on, and/or by the body, divided by the acceleration (a), that it will free fall: That is w/g=f/a ! This equation contains the same units on both sides, and is as dimensionally consistent as any equation can be. Therefore I assume it is correct. Don |
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#2
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Don1 wrote:
one/3600th part of a 24 hour day - one second - became the standard unit of time. How about--a second *was* one 86400th of a Mean Solar Day in 1900, but it is now one of the seven fundamental SI units and is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium-133 atom (BIPM 1998, p. 95). |
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#3
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Sam Wormley wrote:
Don1 wrote: one/3600th part of a 24 hour day - one second - became the standard unit of time. How about--a second *was* one 86400th of a Mean Solar Day in 1900, but it is now one of the seven fundamental SI units and is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium-133 atom (BIPM 1998, p. 95). I knew I could count on you to hyperfine the definition of time. Now if you'll just tell us what time is... |
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#4
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Don1 wrote: The base units of any system of weights and measures are units that are defined by reference to some external "standard". This external standard is arbitrary, but should be of a convenient size, and weight, and as unchanging as possible: The weight of one pound of pure water at Paris, or anywhere; at atmosphereic pressure and a temperature of 39.2 degrees F. was found to be such a standard, and was chosen as an artifact to which other quantities of matter could be referenced: However it was decided, that, for all practical purposes, a more durable metal standard would serve the same purpose, and such metal standards were manufactured. The criteria being that their weight, when divided by the acceleration (g) at which they will free fall at the location where they are weighed, is a constant (w/g). A standard length of the same metal was manufactured, and the distance between two marks on it was agreed upon as the standard unit of length. one/3600th part of a 24 hour day - one second - became the standard unit of time. The unit quantity of matter, was to be the quantity equal to the weight of one unit of force exerted on and/or by this quantity, divided by the acceleration of free fall (g), at the location where the weight is measured: So that w/g is a constant; equal to the net force (f) exerted on, and/or by the body, divided by the acceleration (a), that it will free fall: That is w/g=f/a ! Why on earth would anyone define a standard for a *single* quantity that requires the measurement of *two* quantities, and then dividing them? This seems to be an invitation for disaster. Do all of your ideas have this level of good sense? PD |
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#5
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Why on earth would anyone define a standard for a *single* quantity
that requires the measurement of *two* quantities, and then dividing them? This seems to be an invitation for disaster. Do all of your ideas have this level of good sense? Don1 only likes doing things either the hard way or the wrong way, or both. |
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#6
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Don1 wrote: The base units of any system of weights and measures are units that are defined by reference to some external "standard". This external standard is arbitrary, but should be of a convenient size, and weight, and as unchanging as possible: The weight of one pound of pure water at Paris, or anywhere; at atmosphereic pressure and a temperature of 39.2 degrees F. was found to be such a standard, and was chosen as an artifact to which other quantities of matter could be referenced: The standard "pound" of Paris? |
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#7
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Double-A wrote:
Don1 wrote: The base units of any system of weights and measures are units that are defined by reference to some external "standard". This external standard is arbitrary, but should be of a convenient size, and weight, and as unchanging as possible: The weight of one pound of pure water at Paris, or anywhere; at atmosphereic pressure and a temperature of 39.2 degrees F. was found to be such a standard, and was chosen as an artifact to which other quantities of matter could be referenced: The standard "pound" of Paris? Strike that, in case they didn't use pounds in Pars before the metric system; just say 'the weight of pure water at Paris'. |
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#8
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Don1 wrote:
Sam Wormley wrote: Don1 wrote: one/3600th part of a 24 hour day - one second - became the standard unit of time. How about--a second *was* one 86400th of a Mean Solar Day in 1900, but it is now one of the seven fundamental SI units and is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium-133 atom (BIPM 1998, p. 95). I knew I could count on you to hyperfine the definition of time. Now if you'll just tell us what time is... Maybe too you could come up with something more convenient; that we can relate to in reference to the hyperfine levels of the cesium atom - even relate it to the blink of a eye. |
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#9
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PD wrote:
Don1 wrote: The base units of any system of weights and measures are units that are defined by reference to some external "standard". This external standard is arbitrary, but should be of a convenient size, and weight, and as unchanging as possible: The weight of one pound of pure water at Paris, or anywhere; at atmosphereic pressure and a temperature of 39.2 degrees F. was found to be such a standard, and was chosen as an artifact to which other quantities of matter could be referenced: However it was decided, that, for all practical purposes, a more durable metal standard would serve the same purpose, and such metal standards were manufactured. The criteria being that their weight, when divided by the acceleration (g) at which they will free fall at the location where they are weighed, is a constant (w/g). A standard length of the same metal was manufactured, and the distance between two marks on it was agreed upon as the standard unit of length. one/3600th part of a 24 hour day - one second - became the standard unit of time. The unit quantity of matter, was to be the quantity equal to the weight of one unit of force exerted on and/or by this quantity, divided by the acceleration of free fall (g), at the location where the weight is measured: So that w/g is a constant; equal to the net force (f) exerted on, and/or by the body, divided by the acceleration (a), that it will free fall: That is w/g=f/a ! Why on earth would anyone define a standard for a *single* quantity that requires the measurement of *two* quantities, and then dividing them? This seems to be an invitation for disaster. Do all of your ideas have this level of good sense? Yes of course: there are no single quantities of mass. All masses are acumulations of matter, and are measured by the displacement (s) caused by the net forces exerted on, and or by them. PD |
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#10
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Don1 wrote: Double-A wrote: Don1 wrote: The base units of any system of weights and measures are units that are defined by reference to some external "standard". This external standard is arbitrary, but should be of a convenient size, and weight, and as unchanging as possible: The weight of one pound of pure water at Paris, or anywhere; at atmosphereic pressure and a temperature of 39.2 degrees F. was found to be such a standard, and was chosen as an artifact to which other quantities of matter could be referenced: The standard "pound" of Paris? Strike that, in case they didn't use pounds in Pars before the metric system; just say 'the weight of pure water at Paris'. Aha! You've been diagnosed. You're in Seine. Brian Chandler http://imaginatorium.org |
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