# Deflection due to Magnus Force

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MichaelBartmess.Deflection due to Magnus Force
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This equation computes the displacement of an object in flight due to the Magnus force on a spinning object (such as a football, baseball, or soccer ball).

The effect of the Magnus force is commonly observed when a spinning ball (or cylinder) curves away from its flight trajectory. It is important in its use with sports balls to effect a curve over the course of the ball's flight and it must be considered in the trajectory of a spinning missile.1

# Examples

For a typical curve ball thrown by a professional baseball player, we might use the following as inputs:

• (mass) = 0.145 kg
• L (distance from pitcher to plate) = 18 m
• omega (spin rate) = 2000 rpm
• K (mass parameter) = 5.5 x 10-4 kg

and for this baseball curve example the deflection distance will be approximately d = 0.57 m2