DIMENSIONAL ANALYSIS MODEL FOR ANALYTICAL EVALUATION OF PROPULSION FORCE IN SPORTS ACTIVITIES

Abstract

Aim. The dimensional analysis model is used to analytically express a physical quantity dependent on a number of physical parameters observed experimentally. Thus, using the method of dimensional analysis products, in this paper, the expression of the propulsion force of the human body, in sports activities, was analytically determined. Methods. Analytical modeling using experimental observations. Results. The experi-mental observations, both by the authors and from the specialized literature, have identified as the main parameters that influence the propulsion force, the speed of movement, the distance over which the movement is made, the duration of time for the movement, the mass of the human subject and the age of the individual. The method involves the choice of independent or fundamental dimensions, with the help of which dimen-sionless proportions are formed, both for the propulsion force and for the other physical parameters whose dimensions depend on the fundamental dimensions. For the case analyzed in this paper, the fundamental quantities were the distance traveled, the time duration for the movement and the mass of the human subject. With the help of the product method, the analytical expression of the propulsion force was obtained as a product between the physical parameters whose dimensions are fundamental and a function defined with the help of the dependent physical parameters and some of the independent ones, a function that is determined experimentally. Based on the specialized literature, the dependence function of the dependent and independent physical parameters was determined, so that the numerical simulation is possible. Conclusion. Te product method presented in this paper can also be used in the field of sports, when a physical quantity dependent on a number of experimentally observed physical parameters is desired to be expressed in a calculation expression.