I'd like to know how they were able to measure the yard to 8 decimal places way 
back in 1893.  What instrument did they use?

Jerry




________________________________
From: Pat Naughtin <[email protected]>
To: U.S. Metric Association <[email protected]>
Cc: U.S. Metric Association <[email protected]>
Sent: Sunday, April 5, 2009 9:53:54 PM
Subject: [USMA:44420] The_inch_is_no_cinch!_=97_formerly_= 
=?WINDOWS-1252?Q?_Re:_Even_with_=22dual,=22_you_can't_please_eve?=rybody


On 2009/04/06, at 12:24 AM, John M. Steele wrote:

I'd like to comment on this idea of the changing inch as it illustrates the 
problem of being too liberal in rounding a conversion factor.  Measured data 
should be rounded consistent with its measurement accuracy.  However, 
conversions are either declared values (legal definitions) or the highest 
accuracy a lab is capable of.  Destroying that accuracy is frought with with 
risk.

The UK had their own problem with the "incredible shrinking yard."  However, 
according to NIST SP447 (downloadable from their site) p. 21, the US yard 
prototype was measured in 1893 just before the Mendenhall order.  It was 
determined to be 0.914 399 80 m, only 0.22 parts per million different from the 
International foot adopted in 1959.

Yet, the Mendenhall order established a rounded value 1 m = 39.37 inches 
(equivalent to 0.914 401 83 m) which led to a greater difference with the UK 
yard, and became so entrenched that we are still cursed with it today in the 
form of the US Survey foot.  They knew it was wrong, but the chose to adopt a 
definition that had good enough accuracy for commercial purposes from the 
Metric Act of 1866.

The Mendenhall order freed us from separate physical standards for Customary 
measure, which is a good thing.  However, the wrong choice of value, and a 
worse choice than they were capable of making at the time has not worked out 
entirely well.

In any case the difference between Survey and International foot is only 2 
parts per million, affecting volumetric measure 6 ppm, so it hasn't changed 
much.  I disagree that we should round conversion factors willy-nilly to a 
"nice" round number when we know better. 

Dear John,

Thanks for these thoughts. My comment is contained in a new title for this 
subject: 'The inch is no cinch!'

Cheers,

Pat Naughtin

PO Box 305 Belmont 3216,
Geelong, Australia
Phone: 61 3 5241 2008

Metric system consultant, writer, and speaker, Pat Naughtin, has helped 
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