Calculating Linear Force and Torque of a Ballscrew
Force = Torque x 2 x PI x gear reduction ratio / (Lead x %eff)
Torque = Force x Lead / (2 x PI x gear reduction ratio x %eff)
If you know the torque applied to a ballscrew, then you can calculate the linear force produced by the ballscrew.
If you know the required linear force of a ballscrew, then you can calculate the torque that must be applied.