The kilogram of the archives is not a mathematical unit



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Topic: Science > Physics
User: "Donald G. Shead"
Date: 02 Jul 2003 06:01:16 PM
Object: The kilogram of the archives is not a mathematical unit
The kilogram of the archives is not _exactly_ a _mathematical unit_: In
order to be a mathematical unit it would have to have the ratio of its
weight [w = 9.81 N], divided by the deceleration [g = 2s/tē] of that weight
be numerically equal to _One_ [1]: That is the numerator of the ratio [w/g =
9.81 N/(9.81 m/secē)] must equal one.
As i understand it, the kilogram of the archives differers from the 1000
gram kilometer of water by about 28 parts in 10^6.
The kilogram of the archives was made the unit of mass by the mutual consent
of the member countries of the CGPM, and/or the "Meter Convention"; when
they were unable to make an exact metalic replica of the 1000 gram kilogram
of water.
That's close enough for government work, and structural design, as well as
for most practical purposes.
But they have yet to really come to grips with and resolve the century old
problem of erroneously using grams-force, and kilograms-force; where they
should be using dynes-force, and newtons-force.
They just will not admit that's it has been a mistake to use grams and
kilograms for units of weight. They will not come right out and positively
say something like HEY you guys! From now on use newtons to designate force,
and use kilograms to designate mass.
_Instead_ the pound-force [lbf] has been "legally defined" as a pound-mass
[lbm]; where it [the pound] _should_ be defined as 0.4525 times the
weight-force exerted by a mass of one kilogram; where the acceleration of
free fall is 9.81 m/secē; such as at Sevres' France.
When will they get the importance of knowing the difference between mass and
weight?
.

User: "Herman Trivilino"

Title: Re: The kilogram of the archives is not a mathematical unit 02 Jul 2003 08:34:56 PM
"Donald G. Shead" wrote ...

The kilogram of the archives is not _exactly_ a _mathematical unit_: In
order to be a mathematical unit it would have to have the ratio of its
weight [w = 9.81 N], divided by the deceleration [g = 2s/tē] of that

weight

be numerically equal to _One_ [1]: That is the numerator of the ratio [w/g

=

9.81 N/(9.81 m/secē)] must equal one.

Any number divided by itself equals one.

As i understand it, the kilogram of the archives differers from the 1000
gram kilometer of water by about 28 parts in 10^6.

Your understanding is incorrect. The mass of a cubic decimeter of water may
differ from a kilogram by as much as 28 parts per million, or even more.
That has no relevance. The mass of a kilogram differs from the mass of 1000
grams by EXACTLY zero. By definition.

The kilogram of the archives was made the unit of mass by the mutual

consent

of the member countries of the CGPM, and/or the "Meter Convention"; when
they were unable to make an exact metalic replica of the 1000 gram

kilogram

of water.

And why do you think they attempted to make a replica? Because when a
balance is used to compare the masses of equal volumes of water, they have
masses that vary from each other. When metallic objects are prepared whose
masses compare with each other by balance, their masses differ, on average,
by a MUCH smaller amount that the masses of the equal volumes of water.
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.

User: "Gene Nygaard"

Title: Re: The kilogram of the archives is not a mathematical unit 03 Jul 2003 10:40:43 AM
On Wed, 02 Jul 2003 23:01:16 GMT, "Donald G. Shead" <u10889@snet.net>
wrote:

The kilogram of the archives is not _exactly_ a _mathematical unit_: In
order to be a mathematical unit it would have to have the ratio of its
weight [w = 9.81 N], divided by the deceleration [g = 2s/tē] of that weight
be numerically equal to _One_ [1]: That is the numerator of the ratio [w/g =
9.81 N/(9.81 m/secē)] must equal one.

As i understand it, the kilogram of the archives differers from the 1000
gram kilometer of water by about 28 parts in 10^6.

The kilogram of the archives was made the unit of mass by the mutual consent
of the member countries of the CGPM, and/or the "Meter Convention"; when

Wrong. That isn't the "kilogram of the archives."

they were unable to make an exact metalic replica of the 1000 gram kilogram
of water.

When the CGPM was constructing those kilograms, about 40 of them from
which one was chosen as the "International Prototype Kilogram," water
never entered the picture. It wasn't their target. They were aiming
at the real "Kilogram of the Archives" which was the platinum standard
maintained by the French government from 1799 until replaced in 1889
by the new standards of the CGPM.

That's close enough for government work, and structural design, as well as
for most practical purposes.

But they have yet to really come to grips with and resolve the century old
problem of erroneously using grams-force, and kilograms-force; where they
should be using dynes-force, and newtons-force.

Anyone who doesn't accept the authority of the CGPM and all the
national and international standards organizations when they tell them
it is no longer proper to use dynes has no cause to complain about
someone else not accepting their authority to tell them to no longer
use kilograms force, which are another obsolete unit once endorsed by
the CGPM..

They just will not admit that's it has been a mistake to use grams and
kilograms for units of weight.

You know quite well, Dishonest Don, that when grams and kilograms are
used as units of weight, they are not units of force. They are units
of mass. It is the word "weight" which is ambiguous in this context,
not the word "kilogram."

They will not come right out and positively
say something like HEY you guys! From now on use newtons to designate force,
and use kilograms to designate mass.

They've done that. Force and mass are indeed what you need to
distinguish. It's just that there is no SI unit designated as a "unit
of weight." Or, as NIST tells us, it depends on which meaning of the
word weight you are using
http://physics.nist.gov/Pubs/SP811/sec08.html
Thus the SI unit of the quantity weight used in this
sense is the kilogram (kg)
Thus the SI unit of the quantity weight defined in
this way is the newton (N).


_Instead_ the pound-force [lbf] has been "legally defined" as a pound-mass
[lbm]; where it [the pound] _should_ be defined as 0.4525 times the
weight-force exerted by a mass of one kilogram; where the acceleration of
free fall is 9.81 m/secē; such as at Sevres' France.

WHat is this, the fifteenth different Dense Donny definition of a
pound? Since the pound force doesn't have an official definition, you
could define it this way, equal to 4.439025 newtons. But nobody else
defines the pound force that way, and also you cannot define the
kilogram force this way, because it has an official definition which
differs from the one you are using.
Gene Nygaard
http://ourworld.compuserve.com/homepages/Gene_Nygaard/
Gentlemen of the jury, Chicolini here may look like an idiot,
and sound like an idiot, but don't let that fool you: He
really is an idiot.
Groucho Marx
.
User: "Donald G. Shead"

Title: Re: The kilogram of the archives is officially sanctioned; but is not an exact _unit_ of mass 03 Jul 2003 05:49:06 PM
"Gene Nygaard" <gnygaard@nccray.com> wrote in message
news:6oi8gvk9mameuj3d245m099q24d0kp6940@4ax.com...
Cut<
when grams and kilograms are

used as units of weight, they are not units of force. They are units
of mass. It is the word "weight" which is ambiguous in this context,
not the word "kilogram."
They've done that. Force and mass are indeed what you need to
distinguish. It's just that there is no SI unit designated as a "unit
of weight." Or, as NIST tells us, it depends on which meaning of the
word weight you are using
Thus the SI unit of the quantity weight used in this
sense is the kilogram (kg)

Thus the SI unit of the quantity weight defined in
this way is the newton (N).

A wha - huh? Afraid you lost me along the way(;^)
What really needs doing, in order to pull physics out of the hole that's
been dug for it is to distinguish the difference between weight-force -
which is the mutual pressure exerted between the terra firma surface of a
planet, and the gravitating masses resting thereon - and the net forces
exerted on, and/or by masses as they interfere with each other's inertial
motion.
.

User: "John Christiansen"

Title: Re: The kilogram of the archives is not a mathematical unit 04 Jul 2003 04:45:40 AM
I can't help wondering what Dense Donny's 1000 gram kilogram gram is.
According to definions of gram and kilogram it must be 1 kilogram squared or
1,000,000 gram squared, I wonder what that could be used for. His 1000 gram
kilometer of water makes about as much sense as a fish riding a bicycle-
John Christiansen
"Gene Nygaard" <gnygaard@nccray.com> skrev i en meddelelse
news:6oi8gvk9mameuj3d245m099q24d0kp6940@4ax.com...

On Wed, 02 Jul 2003 23:01:16 GMT, "Donald G. Shead" <u10889@snet.net>
wrote:

The kilogram of the archives is not _exactly_ a _mathematical unit_: In
order to be a mathematical unit it would have to have the ratio of its
weight [w = 9.81 N], divided by the deceleration [g = 2s/tē] of that

weight

be numerically equal to _One_ [1]: That is the numerator of the ratio

[w/g =

9.81 N/(9.81 m/secē)] must equal one.

As i understand it, the kilogram of the archives differers from the 1000
gram kilometer of water by about 28 parts in 10^6.

The kilogram of the archives was made the unit of mass by the mutual

consent

of the member countries of the CGPM, and/or the "Meter Convention"; when


Wrong. That isn't the "kilogram of the archives."

they were unable to make an exact metalic replica of the 1000 gram

kilogram

of water.


When the CGPM was constructing those kilograms, about 40 of them from
which one was chosen as the "International Prototype Kilogram," water
never entered the picture. It wasn't their target. They were aiming
at the real "Kilogram of the Archives" which was the platinum standard
maintained by the French government from 1799 until replaced in 1889
by the new standards of the CGPM.

That's close enough for government work, and structural design, as well

as

for most practical purposes.

But they have yet to really come to grips with and resolve the century

old

problem of erroneously using grams-force, and kilograms-force; where they
should be using dynes-force, and newtons-force.


Anyone who doesn't accept the authority of the CGPM and all the
national and international standards organizations when they tell them
it is no longer proper to use dynes has no cause to complain about
someone else not accepting their authority to tell them to no longer
use kilograms force, which are another obsolete unit once endorsed by
the CGPM..

They just will not admit that's it has been a mistake to use grams and
kilograms for units of weight.


You know quite well, Dishonest Don, that when grams and kilograms are
used as units of weight, they are not units of force. They are units
of mass. It is the word "weight" which is ambiguous in this context,
not the word "kilogram."

They will not come right out and positively
say something like HEY you guys! From now on use newtons to designate

force,

and use kilograms to designate mass.


They've done that. Force and mass are indeed what you need to
distinguish. It's just that there is no SI unit designated as a "unit
of weight." Or, as NIST tells us, it depends on which meaning of the
word weight you are using
http://physics.nist.gov/Pubs/SP811/sec08.html

Thus the SI unit of the quantity weight used in this
sense is the kilogram (kg)

Thus the SI unit of the quantity weight defined in
this way is the newton (N).


_Instead_ the pound-force [lbf] has been "legally defined" as a

pound-mass

[lbm]; where it [the pound] _should_ be defined as 0.4525 times the
weight-force exerted by a mass of one kilogram; where the acceleration of
free fall is 9.81 m/secē; such as at Sevres' France.


WHat is this, the fifteenth different Dense Donny definition of a
pound? Since the pound force doesn't have an official definition, you
could define it this way, equal to 4.439025 newtons. But nobody else
defines the pound force that way, and also you cannot define the
kilogram force this way, because it has an official definition which
differs from the one you are using.

Gene Nygaard
http://ourworld.compuserve.com/homepages/Gene_Nygaard/
Gentlemen of the jury, Chicolini here may look like an idiot,
and sound like an idiot, but don't let that fool you: He
really is an idiot.
Groucho Marx

.



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