Anybody know the formula for the Magnus Effect?

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SUMMARY

The discussion centers on deriving a formula for the Magnus Effect, particularly in the context of modeling golf ball trajectories. The proposed formula is Fm = 8π(p)(w)(vx)(r^3)/3, where p represents air density at 25 degrees Celsius, w is angular velocity, vx is horizontal velocity, and r is the radius of the sphere. The user references the volume of a sphere to modify the original formula for a cylinder, aiming for accuracy in their physics experiment. The Wikipedia article on the Magnus Effect is suggested as a resource for further information.

PREREQUISITES
  • Understanding of the Magnus Effect in fluid dynamics
  • Basic knowledge of physics and mechanics
  • Familiarity with formulas for the volume of a sphere and cylinder
  • Experience with angular velocity and its implications in motion
NEXT STEPS
  • Research the derivation of the Magnus Effect formula in fluid dynamics
  • Explore the relationship between angular velocity and lift in sports physics
  • Study the impact of air density on projectile motion
  • Examine the Wikipedia article on the Magnus Effect for additional insights and values
USEFUL FOR

Physics students, sports scientists, and anyone involved in modeling projectile motion, particularly in sports like golf where the Magnus Effect significantly influences trajectory.

plutonyum94
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I realize I may way out of my depth here...
but i thought i'd jump in anyway.

so that's the question...is there a specific formula?

feel free to call me an idiot if I've got this all wrong :P

Cheers
Tony

EDIT:

sorry, i forgot a bit of background...
so I'm doing a physics experiment revolving around modelling true golf ball trajectories. the magnus effect plays a pretty large role, and in my hpothesis, i'd like to create a formula factoring it in.



EDIT2:
ok, so i THINK I've found a formula...
i don't know how everyone else gets the cool symbols, so I am just going to use regular letters. sorry if its confusing...

Fm = 2pi(p)(w)(vx)(h r^2)

where p = density at 25 degrees C, w = angular velocity, vx - horizontal velocity and h r^2 = height of cylinder multiplied by the radius squared.

this formula is for a cylinder.
i've rearranged it:
Fm = 2(p)(w)(vx)(pi r^2 h)

now, as far as i can remember, pir^2h is the formula for the volume of a cylinder...
as I am looking at golf, I've taken out that formula and replaced it with the formula for the volume of a sphere:

Fm = 2(p)(w)(vx)(4/3pi r^3)

which eventually, returns the pi to the front:

Fm = 8pi(p)(w)(vx)(r^3)
3

^^ that's divided by 3, btw.

ok, so is THIS is viable formula?
 
Last edited:
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I don't know where that formula came from, but have you checked Wikipedia's article on the magnus effect? See:

http://en.wikipedia.org/wiki/Magnus_effect

There's a formula, along with typical values of the lift coefficient.
 

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