I wonder if any of the various steam-engine preservation / rebuilding groups use Indicators and Planimeter
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The formula is HP= n[PLAN / 33000] where
P is Mean Effective Pressure in p.s.i. acting on the piston from lead to release ,
L = Stroke in feet,
A = Piston Area in square inches,
N = number of Strokes per minute (rpm X 2 for double-acting).
The denominator turns the top line product, in foot-pounds/minute, to Horsepower.
That 'n' is a fraction <1, or percentage, called the 'Diagram Factor', and is a rather empirical allowance for internal losses very hard or impossible to quantify. The letter was conventionally not an 'n' but a Greek character whose name I don't know, looking a bit like an 'n'. I think on a well-designed engine the Diagram Factor could be up around 0.8, even 0.9.
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I can think of uses for planimeters in geographical work. Nature does not make areas of land, water bodies and the like to neat geometrical shapes. Nor, I very much doubt, really to those Fractals that were all suddenly so sexy to sum-smiths in the 1980s!