combined free speed of 3 motors

[Ether]

Originally Posted by James Kuszmaul

I can't seem to figure out what the motor velocity or motor torque constants mean in the context of having multiple motors, as you will have multiple voltages (ie, you can change the voltage being applied to each motor independent of the voltage being applied to the other motor).

The derivation I provided in the original post applies if the same voltage is applied to all the motors, and the individual motor stall torque and free speed values are all at the same spec voltage. The resulting "combined" Free Speed (together with the simple-to-calculate Stall Current and Stall Torque) allow you to view the combination as equivalent to a single motor with those characteristics. Treating the combination as equivalent to a single motor allows you to use all the single-motor math you are already familiar with.