3 papers
physics.pop-ph2026
On the brachistochrone problem for cycling ascents
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
VAM ({\it velocità ascensionale media}) is a measurement that quantifies a cyclist's climbing ability. We show that to minimize the time to attain a given height gain\, -- \,which…
physics.class-ph2025
On minimizing cyclists' ascent times: Part II
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We formulate an optimization of a bicycle ascent time under the constraints of the average, maximum, and minimum powers. In contrast to the first part of this study, we do not rest…
physics.class-ph2025
On minimizing cyclists' ascent times
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We prove that, given an average power, the ascent time is minimized if a cyclist maintains a constant ground speed regardless of the slope. Herein, minimizing the time is equivalen…