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⚽ Magnus Effect: Ball Spin Physics Simulator - 2D Cross-Section

Launch a football, tennis ball or baseball with adjustable speed, backspin and sidespin. Quadratic drag and the Magnus lift force are integrated with fourth-order Runge-Kutta, with a no-spin comparison path, a lift-coefficient graph and an angle experiment.

Sports Physics & Biomechanics2DModerate60 FPS📱 Mobile-adapted💨 Air & Wind⇄ 3D version
Magnus Effect: Ball Spin Physics Simulator - 2D Cross-Section ↗ Open standalone

This 2D companion to the 3D Magnus Effect laboratory numerically integrates the real Magnus force equation, F = S·(omega x v), together with gravity and quadratic air drag, so that topspin, backspin and sidespin genuinely curve a launched ball's trajectory by the physically correct amount and direction — nothing here is a scripted or pre-baked curve. Adjust spin rate, spin axis, launch speed and angle, and compare the resulting flight path against a no-spin reference trajectory drawn at the same time.

⚙ Under the hood

Launch a football, tennis ball or baseball with adjustable speed, backspin and sidespin. Quadratic drag and the Magnus lift force are integrated with fourth-order Runge-Kutta, with a no-spin comparison path, a lift-coefficient graph and an angle experiment.

Magnus EffectSpinProjectile MotionAir DragFootball

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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