With this type of little AC motor they often just use a lower voltage to give a lower speed. The slip goes off the charts and the efficiency plummets but they don't care and can often get away with it because the motor windings impedance is sufficiently high to limit the high currents that would cause burn-out in a larger motor. Sometimes they use a PWM (chopper) circuit which is essentially the same as a lighting dimmer except it has a minimum value of maybe 30% that stops the motor going into complete stall. This method reduces the RMS value of the supply by changing the width of the waveform. Either way there's no one-size-fits-all formulas that can be easily used to calculate RPM at a given voltage or PWM setting, it very much depends on the individual construction of the motor and when the copper and iron losses start running away and falling off a cliff. Also most general electrical testers won't give accurate test results for a PWM output because it's usually higher frequency and not sinusoidal which adds to the problems.