On
7 October 2024 at 07:58 Pete Said:
Converting fractional inches to decimals is a very easy process that only takes a few simple key strokes on any or even with the most basic of calculators with a method that many don’t seem to know about.
True, but beware. The problem is the process is tedious and a big plan may require lots of conversions. The combination makes numeric conversions error prone. Unfortunately double checking is even more tedious, so annoying mistakes still slip through galore. It helps to be numerate, to have practised mental arithmetic, and knowing the common conversions off by heart makes it easier to spot sillies.
…. Imperial or metric is just a mathematical concept and one verses the other really isn’t any better or worse than the other.
Not so! The problem with Imperial is it’s riddled with internal conversions. Imperial units were derived in isolation, when measuring the weight of spuds hand no obvious connection with measuring length or time. And before electricity, of which it has no concept!
In a home workshop, there’s rarely any need to calculate using derived units, so all seems well. But Imperial behaves badly when engineering calls for grown-up maths because Imperial requires multiple internal conversions. Look at this simple example:
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Applying the formula is easy enough and the answer is 10,800 lb. per sq.in. But hang on, my question to the friends of Imperial is, what’s the 6 in the formula for, and where does it come from?
It’s a ‘magic number’ resulting from mixed units. The Imperial system being internally incoherent means that it’s littered with them, and they turn anything other than basic maths into a minefield. They’re an extra complication making more work and causing mistakes, definitely not a good thing. In contrast, Metric was designed to eliminate ‘magic numbers’ and other faults. Much simpler, and far better suited to maths based engineering.
Fortunately for Imperial fans, Model Engineering rarely calls for the more advanced calculations that expose the systems shortcomings. Advanced calculation is unlikely to be needed unless a ME is doing design rather than following an existing plan.
As all conversions are bad, converting Imperial plans into Metric, or vice versa, is risky. Small projects aren’t too awful, but converting a big one quickly turns nasty because bored people make mistakes. Well I do!
If it has to be done, a slide rule is surprisingly effective because the numbers don’t have to be typed in.
Dave