Assuming it's a "normal" dishwasher you should be able to use sliding mesh and not need dynamic mesh. That will be faster as you're updating the position of a cylindrical piece of mesh rather than needing to remesh a domain for every timestep.
These will provide information on the rotating options (second part is sliding mesh)
https://courses.ansys.com/index.php/courses/vertical-axis-wind-turbine-part-1/
https://courses.ansys.com/index.php/courses/vertical-axis-wind-turbine-part-2/