This paper presents the full derivation of an analytical model for track cycling. The model takes into account the unique aspects of track cycling associated with riding around a velodrome. These include, riding upon a banked track and the resulting tyre scrubbing effects, and the tipping motion of a cyclist passing through a corner with the resulting centripetal forces. Validation was provided using SRM power crank data and split times obtained for an elite national cyclist in a 4 km pursuit competition. Results have shown the model to over-predict cyclist performance with a discrepancy of 0.7 s in a finals event and 4.3 s, less than 2% error, in a qualifying race. It is believed this may be attributable to discrepancies in atmospheric variables. However the model has proved capable of predicting the velocity increase, specifically associated with track cycling, as a cyclist passes through a bend. The model is useful for analysis of the physics of track cycling, and can be used to quantitatively predict performance dependent upon bicycle efficiencies, tyre type and venue conditions, in a racing scenario.
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