I agree that a picture is worth a thousand words. That is why when I first read about cyclones working in a cylinder without cone shaped walls, I had to build one out of a clear lucite cylinder and run tests with charcoal dust. Seeing is believing!
Also, if you use a spiral air ramp, the tangential entry is not necessary. The inlet pipe can be cut off at an angle and entered straight into the side. The spiral air ramp creates the spin.
I have found this alternative geometry easier to build and very effective. There are actually two “cyclones” in this cylindrical arrangement. The central one that is cyclone shaped and the other which spirals down along the outer wall of the cylinder. The dust that descends along the outer wall comes to rest on the bottom and is then pulled in by the central cyclone and deposited in the collection chamber.
Note that the larger diameter exit pipe slows the exiting air speed so fewer particles escape. The one inch exit mentioned above will work, but it is better to exit with 1 1/2 inch then reduce down to 1 inch.
Also note that this last picture was taken before the lid was installed.