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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)

 

 

Derivation:

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.