These have such a Deco style to them! Very neat to look at. You might be able to find a clearer date here:
Helpful White/Kenmore/Etc. info .
This album has how to find the serial number (looks like on the pillar, just below the hand wheel). It also has listing of the serial numbers. It may take a little page-by-page searching, but it's probably there. Looks like this one was the "DeLuxe Rotary."
Editing to add: Ooopps, should have read closer, no serial number!! Sorry. That's about all I know.