I suspect
such a setup would work best with a FL, very very warm water and an advanced enzyme based, phosphate built detergent.
It shouldn't be that difficult to design a mechanism to "reverse" direction regularly.
On the other hand, I wonder how long it would be necessary to pedal the bicycle in order to store the energy needed to do a load of wash (not heating the water) and spin it dry?
The washing part is easy, really the best detergents more or less clean without much agitation at all. It is the wringing that is a nightmare.
Let's see:
A reasonable fit person can do about .2Kwh for a bit over an hour without killing themselves or being dead for the rest of the day. Since my LG washes 15.4lbs (7Kg) in without heating and spins them dry at 1200rpm for .5Kw, that means two and one half hours pedaling to generate the needed electricity. And yes, that is the actual amount which ends up in the storage battery according to the folks who did the tests, not the amount the rider actually puts out at the alternator (whopping big losses for the electronics and storage).
One guy figured out, it works out to be cheaper in food to just do a 1kwh solar panel and storage for $1,000.
Beats me - I like the idea, just not sure it's practicable.
One thing is obvious, the "bicycle" would have to be so extensively modified for constant use that it is absurd to imagine it being easily swapped back and forth for on-road use. This would be one situation where a extremely stiff frame and really well designed bearings would pay for themselves.