Title: Diameter and distance
Hi Pat,
 
Are yo sure that the wheel was not 141.47 mm in diameter rather than exactly 142?  If that were the case, then its circumference would be 444.44 mm or 4/9 m.  Since 4 and 9 are both integers, a pair of gear wheels can easily be used to "multiply" the number of revolutions.
 
Regards
 
Martin.
----- Original Message -----
Sent: Saturday, January 28, 2006 7:19 AM
Subject: [USMA:35897] Diameter and distance

Dear Phil and All,

Recently, I visited a Sunday Market where, amongst a lot of junk, I found a measuring instrument that I think is called a trundle wheel. It has a small wheel that is geared to turn a four digit indicator and it measures in metres.

Four digits means that it can be used to measure up to 999.9 metres. I tested it over a measured (with a tape) twenty metre path and it seems to be accurate enough for approximations.

However, I have a problem. The little wheel that drives this device is exactly 142 millimetres in diameter — and I can't figure out out why this value might have been chosen because the 142 millimetre wheel has a circumference of 446.1 millimetres and this seems to me rather an odd value.

Cab anyone help?

Cheers,

Pat Naughtin LCAMS (USMA), Member NSAA*
PO Box 305, Belmont, 3216
Geelong, Australia
Phone 61 3 5241 2008

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