As for the windings on a motor, they either work, don't work, or smoke (shorted winding) and pop a breaker. More questions:
-- Is it pumping water for the 5-10 minutes until it quiets?
-- Are there air bubbles visible in the pump basket during this period?
-- Does it only do this on a cold start? i.e. what happens if it comes up to temperature after a half hour or so, you shut it down for 10 minutes, and restart it.
-- What is the filter pressure doing during this 5-10 minute period of noise?
-- Does the noise gradually disappear or is it suddenly quiet?
-- Did this problem suddenly appear or did it come on gradually?
Answers to these will help us diagnose the problem.
Al