Ok, 6" pipe (is the the true outside diameter? That will make a difference) to 1" roller gives a ratio of 6:1. IE, roller needs to turn 6 times to turn the pipe once.
You want 60 rpm at the pipe so that means 360 rpm on the rollers.
360rpm/15rpm = 24:1 ratio
So to turn your roller with 2" dimeter pulley on it you need a 48" diameter pulley on your motor.
That is assuming we have our terminology right.
Pipe is the "drum" that holds the brass/media and turns
Roller/shaft is what the pipe sits on. The rollers turn and therefore the pipe turns
Looks like you need a bit faster motor.
Another option would be to somehow direct drive from motor to pipe. In that case you would only need a 4:1 ratio to get 60 rpm. Or, if you use the pipe as the pulley, running the belt directly on the pipe you would need a 24" pulley on your motor.