Wool fibres are well known for their diameter variations, and the minimum d
iameter usually determines the strength of the fibre. This paper first exam
ines the distributions of the minimum fibre diameters and the breaking forc
e of wool from a dyed wool top. The quantitative relations between the coef
ficient of variation (CV) of breaking force and that of minimum diameter at
different gauge lengths are then corroborated with experimental data. The
results suggest that after top making and dyeing of the wool, its breaking
force variation can still be predicted from the variation in minimum fibre
diameters, even though the top making and dyeing processes would have cause
d some damage to the fibres. The results also imply that most processed fib
res break at their thinnest position, particularly when the gauge length is
long. This is similar to early findings concerning un-processed wool. The
effect of strain rates on the results is also briefly discussed in this pap
er.