I have a galvomotor with a specified maximum rotation of $20^o$, say $\pm10$. It's specified to rotate 1 mechanical degree per $0.5$ V. I shoot a red laser at the scanner mirror, the laser is then reflected to a target located at distance of 175.064 mm (focal length) from the mirror. I'm able to determine that it will be a maximum of $~ 63.718$ mm coverage area, $\pm31.895$ mm $[\tan20 \times 175.064 mm]$.
The issue I'm having is doing the conversion from $0.5$ V per 1 Mech degree to $1$ mm/[x]Volts. I want to be able to have a formula were I input a voltage, say 100 mV to in effect cause a 1mm beam movement at the 175.064 mm target.