A simple linearized theory for the problem of a two-dimensional thin supercavitating hydrofoil in nonuniform motion is developed. General expressions are presented for frequency-response function, lift and moment coefficients. It is found that, in general, the lift and moment vary appreciably with the depth of submersion. At a depth-chord ratio of unity (typical value), the nonsteady characteristics are not well approximated by either the deeply submerged or surfaced hydrofoil results. Detailed numerical results for the cases of a rigid foil performing heaving oscillations or entering the sinusoidal gust, based on digital-machine calculation, are given.

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