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How can we calculate $g$ force in this maneuver?

We are not dealing with conventional maneuvers like level turn or loop so what equation used to calculate g force in this maneuver?

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What about other special maneuvers? Which equation used for them?

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  • $\begingroup$ Take a simple barrel-roll. The pilot has complete control over the g-force, by pushing or pulling the stick. There are videos of people pouring coffee all during a barrel-roll. They do this by starting the maneuver in a climb, then curve downward over the top, and end up in a descent. Maneuvers are complicated. $\endgroup$ Commented Aug 31, 2021 at 15:01

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If the forward component of velocity does not change, that leaves only gravity and a centripetal force in all cases.

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  • $\begingroup$ can you show the forward component of velocity and centripetal force in that case on a picture? $\endgroup$
    – alireza
    Commented Aug 30, 2021 at 17:26
  • $\begingroup$ On a picture, you can only show 2D components of 3D vectors. Centripetal forces would be toward the center of curvature of curved motion. $\endgroup$
    – R.W. Bird
    Commented Aug 30, 2021 at 18:03

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