Deflection due to Magnus Force

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Equation / Last modified by KurtHeckman on 2015/10/27 18:43
`d = `
Rating
ID
MichaelBartmess.Deflection due to Magnus Force
UUID
34f3b069-42eb-11e5-a3bb-bc764e2038f2

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

See also

References

 

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