Bank-speed alignment: a conceptual framework for understanding indoor track performance.

Indoor track performance is shaped by interactions among athlete characteristics, technology, and the structural environment of competition, yet the role of track geometry is not fully integrated into existing performance frameworks. While traditional approaches emphasize physiological and biomechanical factors internal to the athlete, features such as turn radius and bank angle may influence how running velocity is produced and maintained during curved running. The purpose of this conceptual analysis was to develop a framework for interpreting how track geometry interacts with running velocity to influence the mechanical demands of indoor track performance. Drawing on established biomechanical principles, including centripetal force and banked-surface dynamics, this work introduces the concept of bank-speed alignment, defined as the relationship between running velocity, turn radius, and bank angle under simplified mechanical conditions. This framework is presented as a conceptual synthesis of existing mechanical relationships rather than a new derivation or validated model of performance. The analysis illustrates that the bank angle associated with the mechanical reference condition is inherently velocity-dependent and therefore cannot be uniformly satisfied across sprint, middle-, and long-distance events. As a result, contemporary indoor track designs-typically constrained to bank angles of approximately 10°-12°-may differ in how closely they align with the velocity demands of different events, which may be associated with differences in mechanical demands during curved running. These relationships are intended to provide a basis for interpreting variability in performance conditions across facilities and events, while situating track geometry within a broader system that includes technological and contextual factors. Overall, this framework is intended as a hypothesis-generating perspective that reframes indoor track performance as an emergent outcome of interactions among athlete capacity, environmental structure, and competition context.