785boats,
Ah, something I puzzled about when building my first RC paddle boat. Couldn't find anything useful to at least get me in "the right ballpark" as far as the relationships between wheel size, rotation speed and desired model speeds. So, I used the idea of taking the rim speed of the paddle wheel (circumference times rotational speed) and estimating the "slip" to be around 50%. This worked reasonably for my simple wheels of around 4 inches (100 mm) in diameter and models of modest performance.
Did some more work on this topic including thrust, blade immersion and rotational speeds. Well, I needed something to occupy me during "lock-down". As this has formed the basis of an article submitted to but yet to be published by the Editor of the Model Boats magazine, I can't with any decency detail it on this forum and still expect the Editor to publish it.
I'll just say that faster the wheel turns, the more thrust it generates but only up to a point.
Glynn Guest