I've been able to figure out how much tension is on a given string of gauge X at pitch Y, but so far I have not been able to turn that into useful push-pull distances, which I think I would need as a first step to figuring out the *theoretical* torque applied to the changer.
Speaking practically, the system
must be variable, by nature, so why worry about exact distances and torques? Movement distances and torque specs would depend on scale, string guage, and the note required, but I'd guess that an actuator that could move and hold 25 plus or minus 5 pounds, with a travel of .125" would be more than adequate. Of course, these figures would vary
considerably with any leverage available.
But...
Not to be a wet blanket, RD, but I think your friend is on a fool's errand. Some things are best kept as simple mechanical systems, and the desire to automate them is frought with problems. Not only must you have speed and accuracy in a tone changer, you must have reliability, "feel", and also a reasonable cost, along with a design that will remain supported for decades. That's a tall order. Electronics technology moves at a very fast pace, and unplanned obsolescence is always lurking just around the corner. Mechanical systems can always be fixed or replicated, while electronic systems must be realized to be "disposable", at some point. Peavey stopped production of one of their ground-breaking amps (the Session 2000) because a costly IC went out of production, and numbers of old Standels were similarly rendered useless when potted modules went out of production. Home craftsmen can make levers, rods, and pedals...but they can't make IC's, linear actuators, and pressure sensors.
So, let's say someone
could develop such a system. What would be it's lifespan? A lot of us here have seen one technology supplanted by another, and yet another, until what was once thought of as technologically superior (8-tracks or audio cassettes, for example) is left wholly unsupported. Witness the IVL Steelrider, whose midi pickup is no longer made, and thereby the system was made impractical because a key component is no longer produced. You can design a perfect system of electronic components...only to discover that some parts likely won't be available only a decade or two down the road. Then, your expensive "whatever" becomes a paperweight when 10, 20, or 30 years from now, the only replacement parts available are used, decades-old parts.
While there are some similar systems used now ("autotune" guitars, for instance), I wonder what the chances are that they will be working or fixable 20-30 years from now? Technology does get better and cheaper with time, but it would be a big culture change to have musicians willing to buy a new guitar every few years, and trash the old one, like we do now with cellphones.
