Hold on, let's explain something.
A motor is a motor is a motor...50 Hz, 60 Hz, the motor itself doesn't care. It's an AC motor. It's speed depends on the number of poles it has (P) and the frequency (f).
Here's the formula: RPM = f times 120, divided by P. (The 120 is a constant which takes into account the 60 seconds per minute and the positive/negative...)
The number of poles can be 2, 4, 6, 8, or more, always an even number. This is an important distinction.
So a 2 pole motor, at 60 Hz, is going to run at 3600 rpm. Same motor at 50 Hz runs 3000 RPM. A 4 pole motor at 60 Hz runs 1800, at 50 Hz runs 1500. 6 pole motor at 60 HZ is 1200, at 50 Hz runs 1000 rpm. The motor speed for an AC motor depends strictly on frequency and the given number of poles. If you have a 1500 rpm motor (at 50 Hz), you aren't going to find a motor that turns 1500 rpm (shaft speed) at 60 hz. The number of poles can't be changed to get that particular difference.
So let's use an example: an idler wheel turntable with an AC motor. When a European version of this TT runs its motor at 50 HZ, its shaft pulley is sized to provide the proper speed reduction to reach the desired speed (33-1/3 rpm). A US device is running at 60 Hz, so its shaft pulley must be smaller by a ratio of 50/60. You're not rewinding the motor or anything different because you can't increase the number of poles to make up the ratio of 50/60....poles are going to be 2, 4, 6, 8, etc. Instead it's the speed reduction obtained by the combination of the motor pulley and driven pulley (the TT rim) that yields the correct final desired speed.
Hope that makes sense.