Unwinder for rolls of paper having individual tape drives engaging the peripheries of the rolls for unwinding the rolls at a uniform linear velocity. The rolls are carried at opposite ends of a turret mounted for adjustable movement about a horizontal axis and moved into its selected position of adjustment by power. The turret support sets of diametrically opposed core shaft chucks for core shafts carrying the rolls of paper. As one roll of paper is being unwound the turret is moved into position to pick up a new roll. The new roll is then positioned in the position formerly occupied by the expiring roll. As the expiring roll is unwound to within a few inches, a knife on a splice arm is activated to shear the end of the expiring roll. A roll on the splice arm is then moved to engage the end of the expiring roll with the new roll and splice the end of the expiring roll to the new roll and carry the new roll to the sheet run.