Replacing a motor on a vintage machine. Sewing Machines Parts and Sales in Los Angeles

I recently came into a Thompson mini walking foot machine, but unfortunately it’s completely inoperable since it had been dropped. I was wondering if I could use the 1.5 amp YDK motor that came on it on a vintage machine like a Singer class 15. I’m confused about the motor since it has a power cord that comes directly out of it and when I plug it in, it immediately spins at full speed. In other words there is no way to modulate the speed on it. I’ve noticed that a lot of sewing machine motors come with a foot pedal or at least a harness. How would one modulate the speed on the YDK motor that I have? Could I use it on a vintage home machine?