I've got a 10k rpm, 1" dia spindle running in Barden precision bearings about 4" apart. A flat belt between the bearings powers it. There's a 6" cut-off disk on one end of the shaft. The motor is 3450 rpm and has a 7" cast AL pulley. The vibration and noise was bad so, one of the guys replaced the bearings (ouch) and made a new shaft...they were bad. The vibration was still bad but better. The motor pulley really has nothing right about it, there are big dings, a wee bit of a wobble and funny wear on the surface. The motor is 1/2 hp and 40 years old with a bit of end play and "not great" bearings.
My question is: Can all the little motor and pulley problems cause this to sound like a jet engine cement mixer? I would think the flat belt would kind of insulate the spindle from vibration.