If you do a search for " V belt tension gauge " you'll find all kinds from about 15 bucks to well above and beyond what we would want to pay for lawn mower work.
After studying some of them and their operation we can see why most mechanics use the thumb / finger pressure method.
I use the wet noodle / guitar string method just for entertainment. If it acts like a wet noodle when pulled and released, well that's too loose. If it begins to vibrate similar to a guitar string that's getting PDC - purty dam close.
FYI - springs have an operating range and that range isn't as wide as some would think or like it to be. Good judgement often tells us when we're in the ball park with that.