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Fig. 7. Force comparison between experiment, computation and quasi-steady predictions for (A,D) advanced ({varphi}={pi}/4), (B,E) symmetric ({varphi}=0) and (C,F) delayed ({varphi}=–{pi}/4) rotations. (A–C) Force traces of four strokes starting from rest. Red, experimental force; blue, computational force; green, quasi-steady estimates using Equations 14, 15, 16, 17. Forces are normalized as in Figs 2, 3, 4. (D–F) Difference trace (red) between the experimental forces and quasi-steady forces. Linear acceleration du(t)/dt (blue), and an estimate of rotational force u(t){Omega}(t) (green) are shown in arbitrary scale since we are only interested in their basic time course. Broken vertical lines mark the wing reversal during t=[1,2]. Features associated with rotation (r) and unsteady circulation due to wing acceleration (u), are labelled accordingly.