transmission rate 1 1 for example a toothed belt mechanism can act as the transmission mechanism 7 positive transmission means that when one wheel is rotated the other wheel also rotates by means of the transmission mechanism 7 reference numeral 11 in the figures indicates a power transmission mechanism such as a toothed belt mechanism between a driving motor and the second wheel 6 the driving motor is not shown in the figures in the example of the figures the arrangement further comprises auxiliary wheels 8 9 mounted transferably by means of which wheels contact angles u03b1 1 and u03b1 2 of the fibres can be adjusted in the examples of the figure the fibres have been threaded through auxiliary wheels 8 9 positioned at predetermined places in such a manner that the contact angle u03b1 2 of the fibres on the wheel 6 is greater than the contact angle u03b1 1 of the fibres on the wheel 5 the object of this arrangement is to accomplish a differing contact for the friction surface when the fibres touch the wheels a corresponding effect can also be attained by wheels with different friction coefficients the arrangement according to the figures in principle works in the following way the fibres 3 enter the equalizer wheel structure formed by the wheels 5 6 with starting reel tensions t 1 to t n when the fibres are drawn out from the system of wheels.