Like this? (Thank goodness I didn't need to calculate it myself.)So you pick a motor with the rpm to get you that speed (+ about 10%), in your sized wheel, under no load conditions. That way, when loaded, it should give the legal requirement but still give enough torque to climb.
If you can maintain 50%+ of top rpm when climbing then the motor remains efficient enough not to overheat. So that means climbing at 7-8mph.
My own Ezee motor has a top speed of 19mph on the stand (if the cycle computer is anywhere near accurate). It has done many years up and down the hills of west Wales without issue. I have had the controller thermally cut out on hot days though.
The rpm figures seem a bit low given others I've seen referenced elsewhere, though it does tie up, or is pretty close to what you have at 19mph. It's also in the ball park of what Woosh has mentioned at 250rpm. That said, if your wheel diameter is smaller, your wheels will be rotating faster to achieve the same smph figures. Mine is a 47x622 Road Tour with a diameter of circa 70cm. Which is the same diameter as my 650b bike with its fatter tyres.
Seems unusually, I'm not interested in 20-30mph speeds where rpm's might be up in the mid 300's.
I've no doubt at all, 250w at 36v would be perfectly adequate for long 50 mile journeys on the flat. Possibly I would use some help on the outboard journey, but I certainly would want some during the return leg and would not be contributing much for the last 15 or so miles. What I'd be really happy with, is the full 15mph assistance going up nasty hills, or the 8th or 9th hill and all those after. That's the time when 48v seems attractive. Not for speed in my case, but the "grunt" I might hope to get from it.
Windings, can affect all this, but I can't remember where I read up about 'windings for torque', not speed.