In the realm of marine meteorology, physical oceanography, and coastal and ocean engineering, the wind-stress across the air-sea interface plays a dominant role. However, under tropical cyclone conditions, there is no consensus for the formulation of the drag coefficient, <em>C</em><sub>d</sub>, in the literature. Based on the wind-gust method and the measurements from data buoy 42001 during Hurricane Lili, it is demonstrated that, <em>U</em><sub>*</sub> = 0.073<em>U</em><sub>10</sub> - 0.44, which is valid up to wind speed 47 m s<sup>-1</sup> and wind gust to 66 m s<sup>-1</sup>, here <em>U</em><sub>*</sub> is the friction velocity and <em>U</em><sub>10</sub> is the wind speed at 10-m height. This formula is also supported by the atmospheric vorticity method. Applications for this proposed formula to estimate the variation of the wind speed with height and to determine the wind-stress storm surge or saltwater flooding during the most recent Hurricane Helene in 2024 are successful. In addition, it is found that <em>C</em><sub>d</sub> = (1.29<em>Ln</em>(<em>H</em><sub>s</sub>) + 0.27)/1000, which may be used to explain the behavior of the variation of <em>C</em><sub>d</sub> with the significant wave height, <em>H</em><sub>s</sub>. In order to further substantiate the proposed formula, more datasets during other tropical cyclones are incorporated for the validation.
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