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:

• m (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

• Ohio State vs Michigan Scores
• Football Calculator
• Aerodynamic Torque on a Football
• Deflection Due to Magnus Force
• Drag Force on a Football
• College Football Consensus National Champions Data
• Most College Championships
• Number of College Football Championships
• Goal Post Cross-bar Height (American Football)
• Length of Football Field
• Sport Ball Sizes
• Minimum Football Circumference - NCAA
• Minimum Football Length - NCAA
• Maximum Football Circumference - NCAA
• Maximum Football Length - NCAA
• Minimum Football axis_1 or axis_2 - NCAA
• Maximum Football axis_1 or axis_2 - NCAA

1. ^ https://en.wikipedia.org/wiki/Magnus_effect
2. ^ On the Flight of the American Football (physics.fullerton.edu/heidi/PROJECTS/football.pdf)