Originally posted by Steve Conner
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If you have a good tensioner - that is, it approximates pure viscous drag of a single value - then the velocity changes don't matter as the wire inertia is all you're dealing with, and that can be neglected. If you have a bad tensioner, you get varying tension in varying portions of the coil and the occasional broken wire.
I also found a video of a machine winding one-mil-thick metal film on a long, skinny roll. It had an accessory arm that took up, then released additional film approximately in quadrature to the shape of the velocity curve, so the film coming in had an approximately constant velocity. That's probably a good thing to put into a winder if you're doing a new design.
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