An induction motor speed depends on strickly on the line frequency and the number of poles.
Whether designed use on 50 hz or 60 hz when run on 60 Hz a 2 pole motor will run at aprox 3550 RPM and a 4 pole at 1775.
The are other differnece in the design in terms of windings, however.
However a piece of equipment needs to have the pulleys or gears changed to equipment (drum in this case) turns at the same speed.
But the minor difference between 50 and 60 hz I would not think cause this.
Possible it has a 2 pole motor instead of a 4 pole or maybe more motor. Or the wrong size pulley.
Now that is for a "basic" dryer with an induction motor.
More high equipment is going to VFD/VSD (variable frequency drives/variable speed drives). Don't know if any dryers have this or not.
And if so there are a number of different technologies. But it might have the same sources of the problem. Wrong number of poles in motor or wrong pully.