The first step in attempting to solve this conundrum is to wash your dishes in the washing machine and your clothes in the dishwasher. If you experience the same sound effects, then you are no closer to a solution. However, do not despair; eventually it will all come out in the wash.
My dishwasher makes a dreadful racket, all the markings have come off so it's guesswork as to where I start it, but it's when it's spinning the plates that the noise is worse.