In a calixarene-based rotaxane, the flexibility of the macrocycle is expected to be regulated, to achieve specific functions. Here, a rotaxane composed of a calix[6]arene wheel threaded onto an axle shows a cone-to-cone inversion of the macrocycle during shuttling. To provide a detailed atomistic picture of the inversion pathway and the effect of the inversion on the shuttling rate, the free-energy landscape describing these two movements is mapped. We find that the cone-to-cone inversion of the calix[6]arene wheel is driven by favorable electrostatic interactions, and is accomplished by tumbling of the anisole units one by one in the course of shuttling between two identical stations. The structure of the macrocycle located at the middle of the axle, corresponding to the energetic barrier, adopts 1,2,3-alternate conformation, reducing the steric hindrance of the central linker and thus lowering the free-energy barrier for shuttling. It can be, therefore, concluded that the tumbling of calixarene units accelerates the shuttling of the macrocycle in rotaxanes. The full understanding of the coupled shuttling and inversion processes provided herein helps in seeking an alternative approach to regulate the nature of motion in molecular machines utilizing the flexibility of calixarenes.