Trajectory analysis of a soccer ball

[dipmeinaluminum]

http://goff-j.web.lynchburg.edu/Goff_Carre_AJP_2009.pdf

here is a PDF of Trajectory analysis of a soccer ball by
John Eric Goff
Department of Physics, Lynchburg College, Lynchburg, Virginia 24501
Matt J. Carré
Department of Mechanical Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom

enjoy

[yoshibrock]

Excellent! I was actually searching for something like this yesterday. I'm glad you were thoughtful enough to share it!

[buddyb]

This looks like a good read.

Thank you very much!

[Tony.Wu]

Very cool, great material!

[engunneer]

Cool, I passed it on to our lead Mentor, who is also the physics teacher at the school.

[Passion]

Very helpful, thanks in advance!

[Carol]

I had to post the following Dilbert cartoon in response to this thread:

http://www.chiefdelphi.com/media/photos/34468

[dtengineering]

Here's another link.

http://www.soccerballworld.com/Physics.htm

Right now, we're estimating that we want an initial velocity for the ball of around 10m/s at about 35 degrees to give us... roughly a peak alititude of 1.5m and a flight of 4m... followed by a bounce.

Given a 10cm stroke, that should require a force of about 250N... if we have perfectly elastic collisions of hard bodies. Which... of course, we don't... but our exerimental results are indicating that this isn't a bad first order approximation.

Fiddling around with the formulas a bit more, that would be about 25 joules of work expressed in .01 seconds.... for a very brief power requirement of 2.5kw.

But that doesn't take into account the energy absorbed by the ball, air resistance, the energy required to accellerate the kicking mechanism or any of that... as interesting as the theoretical values might be, they only serve as a mechanism for understanding the empircal values in this type of situation.

Jason