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Default Wire cable and pulley sizes

I had to repair a machine today that uses a static reel to counter balance a slide
assembly that has a rotary encoder on a spring reel to measure displacement.

Looked like 1/8" cable over a 1.5" pulley that the cable wrapped 90 degrees. Just looked
wrong and the cable lasted 3 months. The cable is very lightly loaded, is there a ratio
of wire size and diameter to use in making the right sized pulley?

Thanks,

Wes
 
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