For a centre winder, it would normally be the winder that generates the tension by pulling against a speed master. Tension might be generated by a dancer roll but often the tension is generated directly by the winder motor by giving it an overspeed demand and limiting the torque to that which generates the required torque.
I'm not sure about copper but for aluminium I used to work on a value of 30N per square mm so that would be 0.9 * 3.9 * 30 = 105.3N at a radius of 0.375M = 39.48NM.
The OP will need to establish the required winding tension.
Nick