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A generic derivation of weights and measures



 
 
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  #1  
Old November 14th 05 posted to alt.sci.physics,sci.physics,sci.math
Don1
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Posts: 3,196
Default A generic derivation of weights and measures

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  
Old November 14th 05 posted to alt.sci.physics,sci.physics,sci.math
Sam Wormley
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Posts: 16,689
Default A generic derivation of weights and measures

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).
  #3  
Old November 14th 05 posted to alt.sci.physics,sci.physics,sci.math
Don1
external usenet poster
 
Posts: 3,196
Default A generic derivation of weights and measures

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...

  #4  
Old November 14th 05 posted to alt.sci.physics,sci.physics,sci.math
PD
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Posts: 21,328
Default A generic derivation of weights and measures


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

  #5  
Old November 14th 05 posted to alt.sci.physics,sci.physics,sci.math
odin
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Posts: 385
Default A generic derivation of weights and measures

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.


  #6  
Old November 14th 05 posted to alt.sci.physics,sci.physics,sci.math
Double-A
external usenet poster
 
Posts: 776
Default A generic derivation of weights and measures


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?

  #7  
Old November 15th 05 posted to alt.sci.physics,sci.physics,sci.math
Don1
external usenet poster
 
Posts: 3,196
Default A generic derivation of weights and measures

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'.

  #8  
Old November 15th 05 posted to alt.sci.physics,sci.physics,sci.math
Don1
external usenet poster
 
Posts: 3,196
Default A generic derivation of weights and measures

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.

  #9  
Old November 15th 05 posted to alt.sci.physics,sci.physics,sci.math
Don1
external usenet poster
 
Posts: 3,196
Default A generic derivation of weights and measures

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


  #10  
Old November 15th 05 posted to alt.sci.physics,sci.physics,sci.math
imaginatorium@despammed.com
external usenet poster
 
Posts: 59
Default A generic derivation of weights and measures


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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