# Rieter

### The winding principle

#### Index

As in the case of the roving frame, two assemblies with different speeds must be used in order to enable winding to occur. One assembly is the spindle, the other is the traveler representing the remnant of the flyer. Furthermore, the speed difference must be equal over time to the delivery length at the front cylinder. In the roving frame, each assembly has its own regulated drive. In the ring spinning frame, this is true only for the spindle. The traveler is dragged by the spindle acting through the yarn. The speed of the traveler required to give a predetermined speed difference arises through more or less strong braking of the traveler on the running surface of the ring. Influence can be exerted on this process by way of the mass of the traveler. For winding with a leading spindle (see also  Speed relationships), the following relationships apply. The delivery is given by:

$L = V_{spi} -V_T$

where vT is the traveler speed. Thus we have:

$L = d \times \pi \times n_{spi} -d \times \pi \times n_T$

and

$L = d \times \pi(n_{spi} -n_T)$

The required traveler speed is then:

$n_T = n_{spi} - \frac {L}{d \times \pi}$

As in the case of the roving frame, the diameter d is the diameter at the winding point.