Hill’s Equation in the Arm Push of Shot Put

Aims: The purpose of this paper was to continue the previous study of arm rotation movement where A.V. Hill’s force-velocity relationship was transformed into a constant maximum power model consisting of three different components of power.

Methodology: In the present study a new model of Hill’s equation was applied for accelerated motions. This theoretically derived model of further development of Hill’s force-velocity relationship was tested by fitting it into two arm push measurements of shot put experiments. The results of the further development of Hill’s equation for accelerated motions were compared with the mechanics of the constant power model of the previous study.

Results: The analyses of the present study verified that this theoretically derived equation for accelerated motions was in agreement with the measured data of shot put experiments. The fittings succeeded and they coincided with the velocity curves of the measured shot put experiments and the constant power model of the previous study.

Conclusion: In the present study the progress of movement was concluded to be as follows: 1) the state of low speed, maximal acceleration which applies to the hypothesis of constant force, 2) the state of high speed, maximal power which applies to the hypothesis of constant power, where the constant power model of previous study and the present development of Hill’s equation for accelerated motion were acting. This is a new approach to Hill’s equation.