WEBSTER says:
reel [1] (reel) n., v. <reeled, reel-ing>
n.
1. a cylinder or other device that turns on
an axis and is used to wind up or let
out wire, rope, film, etc.
2. a rotatory device attached to a fishing
rod at the butt, for winding up or
letting out the line.
3. a quantity of something wound on a reel.
4. Brit. a spool of sewing thread.
v.t.
5. to wind on a reel.
6. to unwind (silk filaments) from a cocoon.
7. to pull by winding a line on a reel: to
reel a fish in.

In contextul dat pare termenul cel mai potrivit.
Pentru bobina de dimensiuni mari termenul este <spindle>= fus.
Eu am vazut instalatia in functiune dar pentru bobine mari (cu ax/ fus de infasurare)