This note presents the time-averaged inertial force which relates to the velocity difference between the final and initial states of a flapping wing motion. For the periodic flapping motion with identical final and initial velocities, there are no inertial force contribution to the time-averaged lift. Therefore, the wake capture mechanism proposed by Dickinson justifies more convincing than Sunada's added mass or Sun's rapid acceleration at the stroke onset of hovering. The vanishing inertial force to the time-averaged lift is also beneficial to the concise signal processing of lift data from the wind tunnel test.