Sorry, I misread this: https://ian-partridge.com/b&h_tq3.html when I saw A/C. They were referring to the mains supply, not the motor.
Yes, on my Yamawa Super 8 machines, there are 2 potentiometers in order to change the speed: one for 18 fps, and the other for 24 fps.
Now I understand your question more -- you have the potentiometer turned all the way to the lowest voltage setting already. I assume it is the 18fps one if you are running at 10fps.
My 20,000 feet understanding is that DC motors change speeds according to the voltage supplied -- which is what changes when you adjust the potentiometers. According to this: DC motors have no frequency.
https://electronics.stackexchange.com/qu...ffect-dc-motors
When you make the voltage change on the transformer when you are in U.S./Canada, it will supply the same voltage to the motor as it did in Europe. But since mains supply voltage fluctuates (even within the U.S.), you may still have to adjust the potentiometer again to achieve 10fps. In other words, your mains supply could be 115v, for example, or 122 volts.
How many different voltage options are available on the transformer? On many of my projectors, there are options for voltages like 110, 115, 117, 120, 125, for example. 117 volts seems to be a popular setting usually recommended. The LOWER the voltage setting you use on the transformer, the HIGHER the voltage supplied to the projector will be -- meaning, for example, you will get a BRIGHTER light from the lamp, which will SHORTEN the lamp's life, and the motor will run FASTER. In your case, since the problem may be to get the machine to run slower, you may have to set the voltage on the transformer HIGHER, which will make the motor run SLOWER, make the lamp DIMMER, but EXTEND its life. So you need to balance the transformer setting with the potentiometer setting to adjust the motor speed, while considering the lamp brightness and life.
The best thing to do is have an electrician check your mains supply when you get to the U.S/Canada, and set the transformer to the closest possible value greater than or equal to the reading he gets. At least to start out with.
I have heard people say that here in the U.S., our voltage can fluctuate throughout the day. So in theory at least, a projector with a DC motor could change frame rates as your watching a film! In practice, I have not had that happen with my sound machines with DC motors, where it would be very noticeable. :)