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Starting with the theoretical framework for calculating the acoustic radiation force on a compressible spheroid [Jerome et al., J. Acoust. Soc. Am. 148, 2403-2415 (202], the present work develops a model for the corresponding acoustic radiation torque. A general result is obtained that may be applied to an object of arbitrary size, shape, and impedance in an arbitrary incident sound field. Like for the radiation force, the general result for the radiation torque is a summation of terms involving products of the coefficients in spheri