I don't know exactly what my chuck speed is for the particular job I am doing, I have no way to measure it, but I know what the manual says the speed is.
I mean, I am certain the manufacturer knows what the motor speed is. The manufacturer also knows what the pulley sizes are. They know what the gear sizes are. .
All true.. well kind of.
At some point a designer made a design... that design with a known speed electric motor, on a know voltage input, would turn the spindle at X RPM's with a given gear, pulley setup. That design went though a bunch of revisions, then an engineer built it, and the design was revised again, then some non tech guy wrote a manual for it, the lawyers changed a bunch, accountants a little and the manual went through a few revisions at the editor and publisher.
The machine went in to production and along the way, little changes were revised, suppliers of parts, motors changed as supply, demand and availability go.
After all that you got a new or used machine, with all its design and manufacturing tolerances built in... and hooked it up to whatever power source you had available,, the motor aged over time, armature wears, bearings get dirty, maybe you keep fresh belts, properly tensioned .. maybe you don't...
The point....
The RPM listed in the manual may be spot on for your machine, it may only be off a little, it may be off a lot... and if trial and error is not a big deal (it's not with much of my machining) then you can just pick a setting and see how it goes... speed up or slow down for less chatter, better finish ect
You can build one of these kits for $60. You can buy a laser hand held tach for about the same and use it on all your spinning machines to check RPM,, drill , mil, lathe, grinders, ect.
I have two more of these Tachs planned for my drill press and mil. but have a hand held to check grinders, sanders and anything else I want to slap a small reflective piece of sticker on and check.
Im not a production or even school trained machinist, so these are all just tool / toys to me. But I love building stuff, so building a new tool to go with my tools that I build stuff with seemed like a good idea.