Depending on what you want to do, another way might be to take a USB floppy drive. You still might need external power to provide the full 5v, 0.5 amp to the drive, but it might be safer than taking some random drive that you might or might not have specs on it.
It wasn't clear whether you were trying to get the Arduino to actually read the floppy, or whether you just wanted to use the motor for something else.