Your misunderstanding is misleading you......badly!
Unless a motor has a gear system in it, (possible but I myself have never seen one), what you say cannot work for a range of wheel sizes.
The motor will be wound for a certain RANGE of RPMs, not a fixed RPM as you imply.
Having owned 2 e-bikes since 2010, and ridden a great many more, none of them worked as you seem to think they do. Maybe somewhere there is such a bike, but its not a mainstream one, as it will basically only run at one speed, according to you!
There are different methods of control, but basically of the bikes I have ridden, they all allowed me to ride at the speed I wished to, up to the legal limit.
To do this, the controller controlled the RPM of the motor. Really simple.
Just so you know, I have never ridden a middle motor e-bike, as they are generally too expensive and plagued with reliability problems, not the least being chain wear, and if the chain breaks (can happen on any bike), you are stuck with walking home (unless its all downhill to where you live!).....But not on any hub motor bike that I have ridden....I could fool the PAS on the first bike I owned (after removing the broken chain) by simply pedaling, and it would take me home at the legal limit.
My current bike has a throttle, and I can drive anywhere, up to the capacity of the battery, without using the pedals, but still controlling the speed (RPM of the motor), at any speed I require, up to the legal limit...with or without the chain!
I am sorry to have to break your bubble, but your explanation is full of holes and is not how e-bike motors work. Sadly, I do expect others here to misunderstand how motors, work, as it is outside of their area of knowledge.
Try and find a reliable source documented, that follows your line of reasoning, and post the link for us all here.
Thanks in advance.
I looked around for you and found a few links that may help you to further better understand how motors work. Enjoy:-
Keego Mobility makes E-Bikes with both Front and Rear-Hub and Mid-Drive motors. What are some of the benefits with different motors?
keegomobility.com
The most powerful electric bike motors are equipped with top-notch technology to give riders high-quality riding experiences.
lithdrives.com
Regards
Andy
I see now where you are making your mistakes, you are talking about brushed DC motors, WITHOUT a controller to basically pulse the amount of power to the motor!!!!
THERE ARE NO CURRENT MODERN MODELS TODAY THAT DO THAT!!!!
The models of motor in use today, use what basically look like a 3 phase AC motor, and the controller switches power to the 3 field windings, controlling the time, from short to long pulses, for each field, to achieve speed control, in a smooth fashion.
Generally there are 3 Hall effect sensors to send positioning information to the controller, though some do not use there and rely on tables, inside the controller chips, to achieve speed control.
A motor designed as you feel, would try always to make sort of "RACING STARTS", and would be MOST uncomfortable to ride, even possibly dangerous.......
I now see that your thinking is back in the 19 Century, since when things have progressed remarkably!
My first motor of this modern type used on e-bikes, was in the 1980's on some computer equipment, that required variable speed motors. I was entranced.
Since the 1960's as transistors have improved, quite dramatically, such speed control has become normal.
Before MOSFETs and the like, I remember working on Cranes, onboard HMS Triumph, in the '60s, before all these MOSFETs and the like were even dreamed of, where we controlled speed/RPM with a so called "Ward- Leonard" System....... See here:-
en.wikipedia.org
.
You are basically back in those early days of speed/RPM control with your thinking, it would appear!!
I trust that I have managed to bring your thinking into the 21st Century now!!!
Andy