The fluid drag on a spherical ball performing oscillatory motion is studied by measuring the decay of amplitude of its free oscillations. For small amplitude of oscillations, the drag force is found to be a linear function of the instantaneous velocity of the ball. This is in agreement with theory. The linear relationship is used to determine the coefficient of viscosity of air. For oscillations involving large amplitude, the relationship between the drag force and the instantaneous velocity is nonlinear. An empirical relationship between the two, consistent with the experimental data, is established.
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Gupta et al. (1986) studied this question.