Partial to a slide rule myself, and started a collection when I lived in a town with charity shops. Only got a couple of common examples before moving to the country put an end to it!
Slide rules are very useful whenever a match can be eyeballed; John's gear ratio example is a good one.
Before computers and mechanical calculating machines were available slide rules were often home-made by engineers to speed particular calculations. Being made of cardboard they rarely survive. These examples are from Albert Newby's 'Logarithmic Scales: Their Application to the Solution of Engineering and other Formulae : being a simple mechanical method of performing tedious calculations.', a paper submitted to the 1920-21 Session of the Association of Engineering and Shipbuilding Draughtsmen.
Simple formula example:
More complicated formula:
Three scales at once!
Rotary version of the second example.
It's quicker to set the maths up with a spreadsheet, but slides are faster to use when ranges of numbers are of interest and the job is done repeatedly. I find it easier to find suitable values on a scale than to scan tabulated numbers. Like analogue and digital displays, sometimes one form is more suitable than the other.
My main problem with slide rules is keeping track of the decimal point! My memory is terrible, making It necessary to write the numbers down in scientific form before attempting anything remotely complicated. No difference on a slide rule between 2 x 2, 20 x 200, or 2000 x 20000, so two sums are done, e.g.
2000 = 2.0×10³
20000 = 2.0×10⁴
Slide rule says 2.0 x 2.0 is 4.0 Paper calculation says 10³x10⁴ is 10⁷ so
4.0×10⁷, which is 40000000
Doing a sanity check to confirm the answer is the correct order of magnitude is pretty much essential. It's also necessary to keep a close eye on precision. Slide rules are normally only good for two digit precision, so 19.687 x 1960010 will be slightly wrong (1.97×10¹ x 1.96×10⁶ = 3.86×10⁷, not 38586716.870). For this reason I was schooled to call a Slide Rule a 'Fiddle Stick'.
Calculators have much better precision and remove the need for mental acrobatics and sanity checking.
On the other hand, answers flow remarkably quickly once a slide rule routine is established. I still use one occasionally. Log and Trig tables though, yuk!!! Nasty inaccurate and easily misread, at least by me.
Dave
Edited By SillyOldDuffer on 23/05/2021 15:28:46