I'm not quite old enough to remember using mechanical calculators but I did own one of the first electronic calculators when I was kid, which had a vacuum fluorescent display, a bit like
this one. It would dramatically flash on and off (displaying 'ERROR') when you did something wrong, like divide by zero. I have fond memories of that calculator, not only because I learned that I could spell stuff like 5318008 and 710.77345 on it ('boobies' and 'shell oil' upside down), but also because it was the first electronic device that I owned ... and ultimately took apart to learn how it worked.
That "acoustic memory" is interesting. I never knew there were mechanical calculators that used that 'technology'. It looks like it works similar to a
spring reverberator, which I have played around with in the past when making electronic audio projects. Using a spring/coiled wire effectively allows the use of a longer wire in a more compact unit, giving longer delays. I think those may be more prone to mechanical/shock interference though, which may be why they went for a spiralled straight wire design in the calculator.