Rieter

Conditions at the traveler in the tangential plane

Index

The yarn does not run absolutely vertically, i.e. in the plane of the spindle axis. It follows a curve caused by the air resistance created by the balloon rotation. The balloon tension FB does not therefore act as a vertical pulling force, as previously assumed in the simple representation. Its effect is actually inclined upwards at an angle. An exact formulation would require three-dimensional representation and a corresponding analysis. Even without this, however, it can be seen from the drawing that the balloon tension can be resolved into two components (Fig. 98), namely, a component FC, which presses the traveler upwards against the ring, and a component FA, which acts as a restraining force on the traveler and slightly reinforces the restraining force arising from the friction appearing between the ring and traveler. Component FA is relatively small and can be ignored. This is true also of the air resistance of the traveler.

Fig. 98 – Resolution of forces with an inclined balloon