How is inertia responsible for removing most of the water from wet clothes in a washing machine?

Answer 1

Spin cycle.
The drum inside the washing machine goes into a very fast spin and a mesh holds your clothes on the inside of the spin washer cylinder, while the centrifugal force pushes the water through the mesh onto the outer wall of the washer's cylinder. the centrifugal force is the result of inertia of the objects in the spinning drum trying to move straight out of the drum and being prevented from doing so by the mesh and the drum. Since your clothes can only go as far as the mesh, but the water can go through the holes in the mesh to the outer drum, water is separated from your clothes.