I use the spin cycle in my washer to get the water off of washed lettuce or other greens. Works very well if you counter balance with a rolled up towel or two. The lettuce is wrapped up in a large kitchen towel and put in a mesh bag. But my washer is a top loader. I might have to rethink when we go to a front loader.
Personally, I don't know why you need to or want to do this for wort. Studies and reliable anecdotal evidence show that the stuff suspended in the wort is actually beneficial. And given time, it goes to the bottom of the FV leaving a very clear and, IMO, a superior tasting and sparkly clean beer to enjoy.
Perhaps there is a style of beer that benefits from such. My experience is limited mostly to APAs and IPAs.