The mutual influence of translational and rotational movements of a spherical particle in calm water was studied using experimental data and numerical simulation. Spherical particles with a density close to that of water were speeded up in special devices, which ensured the required particle rotational and translational velocity in the given plane. A video system was used to record the particle trajectory. The values of the drag force, drag torque, and Magnus force coefficients were determined experimentally and compared with the results of the numerical simulation of the particle motion. The evaluation of the experiments focused on the effects of two dimensionless parameters of the particle motion: the Reynolds number and rotational Reynolds number. Relationships describing the abovementioned quantities were developed, taking into account the mutual influence of the translational and rotational particle movements. It was found that the drag force and drag torque coefficients can be expressed as the functions of both the translational and rotational Reynolds numbers.

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