# The magnus effect

for a soccer game I'm programming, i want to calculate the position and velocity of the ball. I can get those values when I have constant acceleration, but I don't understand how to add the Magnus force. I have read some articles in the internet, and I found a formula I just can't understand:

$$F_{m}=\frac{2\pi^2 \rho\ \omega vr^4} {2r}$$

is it right? so I could say:

$$F_{m}=\pi^2 \rho\ \omega vr^3$$

But which is the velocity it refers? and, how can I relate it to v(t) and x(t)?

Could somebody explain it to me, and how to calculate position adding the magnus force?

Related General Physics Workshop News on Phys.org

"The magnus effect"

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving