Fundamental parameters of a steam loco
During the construcion of my model I perpetualy came back to questioning myself and people
around, how does the scaled model work as compared to protoype and how should it be optimally
tuned
for best effects.
Some questions of this sort can be answered straight away by observing certain scaling laws. Below I will derive some of them.
Skalowanie
In a faithful model all details are reproduced in the same scale 1:k. Thus all distances decrase by k, all areas by k2 and volumes (and masses approximately too) by k3. This is illustated in a table below:| Scale | Gauge | Surface | Volume | |||||||||||||||||||||||||||||||||||||||||||||||||||
| 1:1 | 1435 | 1m2 | 1m3
| VI | 1:5,5 | 260 (10¼") | 331cm2 | 6.01dm3
| V | 1:8 | 184 (7¼") | 156cm2 | 1.95dm3
| IV | 1:11 | 127 (5") | 82.6cm2 | 751cm3
| III | 1:16 | 89 (3½") | 39.1cm2 | 244cm3
| II | 1:22,5 | 64 (2½") | 19.8cm2 | 87.8cm3
| I | 1:32 | 45 (1¾") | 9.77cm2 | 30.5cm3
| O | 1:45 | 32 (1¼") | 4.94cm2 | 11cm3
| S | 1:64 | 22,5 | 2.44cm2 | 3.81cm3
| HO | 1:87 | 16,5 | 1.32cm2 | 1.52cm3
| TT | 1:120 | 12 | 69.4mm2 | 0.579cm3
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