I have never encountered so much opposition to the word "speed!" It is a well understood word for the target audience who doesn't care if RPM has a SI definition since the definition is in the acronym.@strantor here's something that might seem trivial but is probably important.
The word "speed" has no fixed meaning.
You are talking, I think, about angular frequency* which has the symbol ω and uses rad s⁻¹ (in this case, being the equivalent if Hertz) as units. RPM is a very casual unit and has no SI definition.
*it is also called angular speed and angular rate, but given its rôle in the equations describing the relationship between it, torque, and power the former seems wrong as it confuses things with angular velocity, below.
There is also angular velocity using the symbol ω⃗ and using rad s⁻¹ like ω does meaning the rate of motion rather than of rotation. But the Of course, velocity is a vector and angular frequency is a scalar, but given the general confusion of the meanings of speed and velocity it seems a very good idea to keep them separate.
For a synchronous motor, as torque increases while speed remains constant, P automatically increases. You don't have to do anything to increase it.So the only way to can make a motor a "speed device" is by dynamically adjusting P based on the changing load. Whatever analogy you will find is going to have to involve this hidden variable being manipulated, so far as I can see. In nature, the load means work and work means you need P to increase, or the power being used to maintain a certain ω will be moved to dealing with that load and the rotational frequency of the motor will reduce.
If there is an analogy (and I can't think of one at this time) it will require this P adjustment to be structurally included. And that's the trouble, I think.
