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The rotation of a piezoelectric medium gives rise to a shift of propagation velocity of surface acoustic wave (SAW) due to the Coriolis force, resulting in the frequency shift of the SAW device, and hence, the evaluation of the sensor performance. The phase velocity shift is investigated by applying surface effective permittivity method in the regime of small ratios of the rotation velocity and the frequency of the SAW. The gyroscopic effect for various SAWs propagating along several common piezoelectric substrates as ST-X quartz, YX 128°LiNbO3, and X-112°Y LiTaO3 were studied, and the calculated results indicates that the larger response to external rotation was observed in X-112°Y LiTaO3, which is consistent with the previous reported results. Also, the validity of the theoretical analysis was confirmed by the reported experimental results, it means the surface effective permittivity method is an effective way for gyroscopic effect analysis.