I've got a 1967 Sears-Kenmore sewing machine with a power cable that a cat chewed through (previous owner). The damage is near the end of the cable and the copper wires are showing. I shopped around and found a replacement pedal/powersupply but I really like the antique pedal I have with it. Thank you in advance.
If it's near the plug end, the one that goes into the wall, it's easy. You can buy a replacement plug, cut off the old one and wire on the new one. Wire strippers would be handy but you could strip the wires with a carefully used sharp utility knife, and you will need a screwdriver to deal with the plug itself. If it's very close to the foot pedal end or the machine plug side, that might be a bit harder, depending how much wire there is between the damaged cable and the pedal or plug. You could cut away the damaged portion, splice the wires with wire nuts, cover firmly with electrical tape and be done. If there isn't room to do that, you might have to take the foot pedal apart and re-attach the wires from the rest of the cable. Shouldn't be that hard to do. Just note where the wires went inside the foot pedal.
Split the power cable... Skin the insulation back on the individual wires..Keep track of the colors.... Split one side far enough back to put pieces of shrink tubing on the individual wires...put the approcate wires in an insulated butt splicer....crimp the splicers...Heat shrink the tubing...Then tape the individual leads with 3M-130c rubber tape ..Then put about 2-3 layers of 3M 88 tape on top of the rubber tape....It will last as long as you will Have A Good Day