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This paper is the second in a series where we report the results of thelong-term timing of the millisecond pulsars (MSPs) in 47 Tucanae with theParkes 64-m radio telescope. We obtain improved timing parameters that provideadditional information for studies of the cluster dynamics: a) the pulsarproper motions yield an estimate of the proper motion of the cluster as a whole($\mu_{\alpha}\, = \, 5.00\, \pm \, 0.14\, \rm mas \, yr^{-1}$, $\mu_{\delta}\,= \, -2.84\, \pm \, 0.12\, \rm mas \, yr^{-1}$) and the motion of the pulsarsrelative to each other. b) We measure the second spin-period derivatives causedby the change of the pulsar line-of-sight accelerations; 47 Tuc H, U andpossibly J are being affected by nearby objects. c) For ten binary systems wenow measure changes in the orbital period caused by their acceleration in thegravitational field of the cluster. From all these measurements, we derive acluster distance no smaller than $\sim\,$4.69 kpc and show that thecharacteristics of these MSPs are very similar to their counterparts in theGalactic disk. We find no evidence in favour of an intermediate mass black holeat the centre of the cluster. Finally, we describe the orbital behaviour of thefour "black widow" systems. Two of them, 47 Tuc J and O, exhibit orbitalvariability similar to that observed in other such systems, while for 47 Tuc Iand R the orbits seem to be remarkably stable. It appears, therefore, that notall "black widows" have unpredictable orbital behaviour.

Long-term observations of the pulsars in 47 Tucanae - II. Proper motions, accelerations and jerks