Dear all: 

In reading how the various imperial measures varied in the 1800s, even if only 
marginally, I find it intriguing that the one measurement required to be 
consistent in those times managed to become/remain so - the railway standard 
guage.

The Brits adopted the measurement of 1435 mm or 4ft-8.5ins in the very early 
1800s when they invented the railway (at least as we know it - a flanged wheel 
running on a steel rail).  There is no clear history as to why this somewhat 
peculiar measurement was used, but the most commonly accepted stories put it 
down to the best fit in making highway coaches of the day fit between steel 
wheels.  Whatever the reason, when America first embraced the railway, it 
imported British locomotives, and it naturally followed they would be to 
standard gauge - 4ft-8.5ins.  Thus America adopted this as a standard guage 
also.

British locomotives, being designed to run on relatively smooth British 
trackbeds, were found to be unsuitable for the rougher trackbeds that were of 
necessity the order of the day in America, and so American locomotive 
manufacturers quickly sprang up, building locos more suited to American 
conditions - but still to the same guage.  At this time of course, railway 
companies were also springing up, and not only opening up the west, but 
building extensive systems in the east, especially in and around New York and 
the New England states.  And, whether consciously or not, all to standard guage.

It therefore seems quite amazing, given the inconsistency in defining precise 
dimensions in the early-mid 1800s, that all the railway companies that sprang 
up and eventully built the transcontinental railways managed to get them all to 
exactly the same guage!   At least sufficiently the same that manufacturers did 
not have to make any guage differences regardless of who they were building for.

Just some thoughts that intrigue me!

Cheers

John F-L
  ----- Original Message ----- 
  From: John M. Steele 
  To: U.S. Metric Association 
  Sent: Monday, December 28, 2009 7:18 PM
  Subject: [USMA:46311] Re: YouTube metric


  Dear Pat,

  Interesting summary.  I'd like to challenge one fact, comment on another, and 
finally add some facts from a US perspective that reinforce several of the 
points you made.

  *I find it very difficult to believe in 1814, the inch was legally defined as 
three grains of barley.  I suspect that was more in the spirit of "Hey, kids, 
make your own standards at home" much like the equivalence of 1 L of water and 
1 kg -- a useful approximation, but not entirely accurate.

  *Your numericana reference has a link to the text of the 1819 Commission 
whose report eventually became the Imperial system.  It makes two points:
  -The relative multiples and submultiples of each unit of measure were well 
established and recommended to continue, therefore 36" = 3' = 1 yd was already 
established; none were changed in 1824, or first defined.
  -It refers to a brass standard yard made in 1760 by Bird, it also refers 
vaguely to a second standard, and I am not sure which was chosen.  However, 
they clearly related their recommended standard yard to a seconds pendulum, 
measured to be 39.1372" by this scale, and to the metre, 39.3694".  I believe 
whichever of the two existing standards so measured became the 1824 Imperial 
yard, later destroyed by fire.  The comparison to the metre gives 1 yd = 0.914 
415 76 m.  Note that the seconds pendulum definition differs from the 1855 
value.  However, the length of the day changes over time, and I am not sure how 
well the concept of "mean sun" was defined in this time period.  The actual 
time of the sun crossing the meredian varies seasonally throughout the year 
(equation of time).

  The US info is all from NIST SP447.  Our early weights and measures history 
reads like a third world nation's.  Congress did little to assert its authority 
over weights and measures until 1827 when a standard troy pound was obtained.  
Individual states had their own standards and NIST charitably describes them as 
" more or less authentic copies of the English standards."  In 1832, it 
declared the span between the 27th and 63rd inch markings of the Troughton bar 
as the US standard yard (this 82" bar had been brought to the US in 1815 
following the War of 1812.).  I assume this relatively central section was the 
best fit to the British yard of the time.

  The US also had an early iron meter bar brought to the US by Hassler in 1805. 
 It was used for all Coast Survey work until 1890, but apparently never 
compared to the yard.  It was one of several prototypes made by the Archive of 
the Metre (referred to as Committee Meter in the US)
  .
  The second US standard yard was the bronze #11 yard obtained in 1855.  It 
apparently measured well against the Imperial yard at the time.  The Troughton 
bar was measured against it and the Troughton yard determined to be 0.00087" 
long relative to the new standard.  Bronze #11 was compared to the Imperial 
yard in 1876 and 1888.  Discrepancies were noted, and the US felt they were not 
entirely due to #11.  This fits with the "shrinking Imperial yard" you noted.  
Bronze #11 was measured in 1893, just before the Mendenhall order at 0.914 399 
80 m against the US's prototype meter received via the Treaty of the Meter.  
Assuming no aging of either the Troughton bar or bronze #11, this would place 
the Troughton yard at 0.914 421 90 m, using mixed 1855 and 1893 data.  This is 
close to the length used by the 1819 Commission.

  In spite of the measurement above, the Mendenhall order made a statutory 
declaration that the meter was equivalent to 39.37" (1 yd = 0.914 401 83 m).  
This was known to be wrong, but thought to be sufficiently accurate and easy to 
remember.  It was used until 1959 (and still used for Survey foot).  I think it 
is obvious that had they chosen the reciprocal relationship with the same 
considerations, they would have used 1 yd = 0.9144 m.

  Note: I followed the lead of these articles and use 8 figures in the values 
of the yard.  However, I doubt they could measure to 10 nm at the time, and 
some decimal dust is involved.  With interferometry, they would be hard pressed 
to measure 1/10 wavelength or around 50 nm.



------------------------------------------------------------------------------
  From: Pat Naughtin <pat.naugh...@metricationmatters.com>
  To: U.S. Metric Association <usma@colostate.edu>
  Sent: Mon, December 28, 2009 12:41:02 AM
  Subject: [USMA:46309] Re: YouTube metric


    On 2009/12/28, at 01:04 , John Frewen-Lord wrote:


      Well, it was a bit interesting, if somewhat childlike in its presentation.

      Pity that in the last segment, when explaining that there are 1000 m in 1 
km, they sort of treated the m and the km as two discrete units, rather than 
simply one unit with a prefix.

      Still, progress of sorts!  Interesting that NASA seems to be promoting 
this, when we all know that they are as much the villain as anyone in resisting 
the US's conversion to the metric system.


  Dear John, 


  I agree with you about the distinction between metres and kilometres. I am 
also intrigued by the NASA sponsorship.


  I also had a concern about the underlying assumption that 'there are two 
systems of measurement' as I don't think that this is true. 


  There is certainly a metric system but to my way of thinking there never was 
a single previous system of measuring units. My analysis of the old pre-metric 
situation is that they were more or less randomly generated collections of 
measuring words that were more or less associated with measuring activities.


  As an example, consider the inch.


  Prior to the defining of the metric inch, in 1959, as exactly 25.4 
millimetres, the inch had many different definitions that included the width of 
a thumb, the length of three grains of barley, dry and round, placed end to 
end, lengthwise, 1/3 of a palm, 1/4 of a hand, 1/12 of the foot of St Paul's, 
and 1/36 of the distance between King Henry I of England's nose and his thumb.


  More formally, legal definitions of the UK inch have included:


  1814 three grains of sound ripe barley being taken out the middle of the ear, 
well dried, and laid end to end in a row


  1819 A preliminary yard was made in anticipation of the Imperial yard in 
1824. This yard has been precisely measured as 39.3694 inches to a metre which 
means that each inch was about 25.4004379 mm.


  1824 1/36 of an Imperial yard. This yard was precisely measured as 914.398416 
metres giving an inch of 25.399956 mm. Note this was the first Imperial 
measure; earlier measures were not legally 'Imperial'.


  1834 The British Standard yard was destroyed in a fire when the British 
Houses of Parliament burnt down. The inch was destroyed along with the yard.


  1841 New standard yards were made. Unfortunately, as a standard, the metal 
chosen for these standard yards (Baily's metal) began to shrink. In:


  * 1895 the inch was 25.399978 mm
  * 1922 the inch was 25.399956 mm

  * 1932 the inch was 25.399950 mm

  * 1947 the inch was 25.399931 mm (See 
http://home.att.net/~numericana/answer/units.htm and search for nara)

  1842 a standard inch measure was kept in the Exchequer chamber, Guildhall, 
and that was the legal definition of the inch.


  1855 1/36 of a standard yard defined as the length of a 36 inch yard derived 
from a seconds pendulum beating 86 400 times between two meridians of the Sun. 
The pendulum was held in a vacuum in a temperature controlled chamber at sea 
level in Greenwich, London. The length of this pendulum was 39.1392 inches 
(about 994.1357 mm).


  1878 A new physical standard yard was made and this remained the UK Imperial 
standard until 1964.


  1964 The Uk legally adopted the metric inch, of exactly 25.4 mm, as the 
Imperial standard inch.


  During this time, while the length of the metre and hence the millimetre 
remained constant, there has been a wide range of changing values for the 
different UK inches – hardly a system!


  Note that I have not included all of the other inches that each have multiple 
definitions hence multiple different lengths. Here are some of their names: 
angulam, anguli, duim, hüvelyk, palec, polegada, polegartum, police, pouce, 
pulgada, pulgar, thumb, tome, tommel, and tumme.


  And I have not referred to the changing definitions of the legal inch in the 
USA at all. This is too complex for me.


  Please note that the inch is only one example of old pre-metric measuring 
words. Every old pre-metric measuring word can be similarly analysed. You could 
begin with: foot, pound, bushel, barrel, ton, etc. etc.


  To conclude, I find no evidence for any system before the metric system 
formulation as the Système Internationale d'Unités. I have not ignored fps, 
cgs, mksA, foot-slug-second, etc. I simply regard them as being attempts to 
form a system that failed because they were incomplete and not coherent.

  Cheers,

  Pat Naughtin
  Author of the ebook, Metrication Leaders Guide, that you can obtain from 
http://metricationmatters.com/MetricationLeadersGuideInfo.html 
  PO Box 305 Belmont 3216,
  Geelong, Australia
  Phone: 61 3 5241 2008


  Metric system consultant, writer, and speaker, Pat Naughtin, has helped 
thousands of people and hundreds of companies upgrade to the modern metric 
system smoothly, quickly, and so economically that they now save thousands each 
year when buying, processing, or selling for their businesses. Pat provides 
services and resources for many different trades, crafts, and professions for 
commercial, industrial and government metrication leaders in Asia, Europe, and 
in the USA. Pat's clients include the Australian Government, Google, NASA, 
NIST, and the metric associations of Canada, the UK, and the USA. See 
http://www.metricationmatters.com/ to subscribe.


      ----- Original Message -----
      From: Pat Naughtin
      To: U.S. Metric Association
      Sent: Sunday, December 27, 2009 5:36 AM
      Subject: [USMA:46304] YouTube metric


      You might find this interesting: 


      
http://www.encyclopedia.com/video/DQPQ_q59xyw-metric-standard-measurement-systems.aspx
 


      Cheers,
      Pat Naughtin
      Author of the ebook, Metrication Leaders Guide, that you can obtain from 
http://metricationmatters.com/MetricationLeadersGuideInfo.html 
      PO Box 305 Belmont 3216,
      Geelong, Australia
      Phone: 61 3 5241 2008


      Metric system consultant, writer, and speaker, Pat Naughtin, has helped 
thousands of people and hundreds of companies upgrade to the modern metric 
system smoothly, quickly, and so economically that they now save thousands each 
year when buying, processing, or selling for their businesses. Pat provides 
services and resources for many different trades, crafts, and professions for 
commercial, industrial and government metrication leaders in Asia, Europe, and 
in the USA. Pat's clients include the Australian Government, Google, NASA, 
NIST, and the metric associations of Canada, the UK, and the USA. See 
http://www.metricationmatters.com for more metrication information, contact Pat 
at pat.naugh...@metricationmatters.com or to get the free 'Metrication matters' 
newsletter go to: http://www.metricationmatters.com/newsletter to subscribe.





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