Physical Football - Bend It Like Roberto Carlos
Created | Updated Nov 4, 2004
Brazil versus France. Everybody remembers France '98, which saw France's 3-nil pasting of the favourites, Brazil, in the World Cup Final. Quite a bit of drama there, with the mystery of what happened to Brazil's star player Ronaldo on that dark night before the final*.
However, just a year before, in the pre-World Cup warm-up tournament of 'Le Tournoi', jaws dropped in astonishment, aghast at the skill and exploit of one player of the Brazilian football team in their match against France.
It wasn't Ronaldo, their star player. It wasn't Rivaldo, who scores goals as frequently as rabbits breed. It wasn't even Romario, the veteran of the Brazilian squad.
Instead, it was the second-shortest player in the squad, with thighs the size of tree-trunks and a tendency to put a new spin on things when they came to him.
Brazil v France - Le Tournoi, Lyons, 3 June 1997, 22nd minute of the match...
The score is 0-0. France have conceded a free-kick from about 25 yards from the goal. The French team set up a nice defensive wall of players, and Fabien Barthez* was gearing himself up to make a nice save when required. It seemed like a normal free-kick that would hopefully be unable to penetrate the French lines of defence.
However, one of the diminutive players on the Brazilian team stepped forward to take it, and he seemed to be a very strange choice indeed. A defender taking a free-kick? Well, it's not completely unheard of, but still, it's quite peculiar for this to happen.
Perhaps it is, but not if the defender is one Roberto Carlos, left-footer extraordinaire, standing at a grand height of 5'6''/168cm...
The Free-Kick is Taken...
The ball is slightly to the right of middle of the goal, 25 yards out. The French wall is ready to block all incoming objects, protecting the most important thing on the pitch. Fabien Barthez has assumed the position.
Roberto Carlos does a short run-up and strikes the ball with his trusty left foot. However, he appears to have botched the job completely, with the ball flying further out to the right than where it was before.
The ball flew so far right that one of the ball-boys between the right corner-flag and the right goalpost ducked in fear for himself. However, something was not quite right.
As if by magic, the ball swang around sharply to the left, around the bewildered French wall and into the back of the net, leaving the baffled Fabien Barthez standing, as that was all he could do.
Roberto Carlos had scored a magnificent bendy 'banana' free-kick, and Brazil were in the lead at the 22nd minute*.
Physics according to Roberto Carlos
Apparently, Roberto Carlos practised this style of free-kick on the training ground all the time. This would mean that it was second nature to him on where to strike the ball, what velocity and what force.
This puts it down more to luck than to actual physical equations, but physics still had its part to play in Roberto Carlos' glory.
The Free-Kick according to Physics
Okay, so you have at least four forces you must consider...
Use the Force
The Force of the Kick - This will send the ball on a linear trajectory* forever.
The Drag (caused by air viscosity) - This will slow the ball down on the linear trajectory until it eventually stops.
Gravity - This will bend the linear trajectory towards the ground.
The Magnus Force* - This only comes into play when the ball is spinning.
The fourth force will be used to explain the banana-kick.
The Magnus Force
Actually, the physics is the same whether you're talking blasting a curve ball at Babe Ruth, bending a ball over the six yard box from a corner flag, or kicking* your second serve on a grass court.
The Magnus Force (or Effect) is quite but not entirely similar to Bernoulli's principle, where you have different dynamic pressures on two sides of an object moving in a fluid. This is what allows planes to fly.
Picture an airplane wing. Move the whole wing forward. Air passing over the top of the wing has to move faster than air passing underneath, because of the aerofoil profile. When a fluid moves faster, its pressure reduces. So, you have more pressure under the wing than on top. This means you have lift.
Now, instead of a wing, picture a cylinder. The path of air over and under the cylinder is the same - a circle is symmetrical. However, if you rotate the cylinder so that the 'leading edge' is moving up, it will drag the air along its surface with it, speeding it up, and reducing the pressure. Similarly, on the underside, it'll slow it down and increase the pressure. Yet again, there is lift.
The irregularities of a football - the stitches etc - will be causing different forces on different sides of the rotating ball, because it swirls the air around. This causes some turbulence on the respective sides of the ball, because one side is turning against the moving direction of the ball, and the other side is rotating with the moving direction. Hence, there are two different forces on both sides of the ball, and hence the curving. The faster side will be the one apparently 'pushing' the trajectory in. The slower side will be apparently 'pulling' the trajectory in.
Therefore, if you kick the ball with a top-spin, the ball will fall down faster. If you give it a bottom spin, it will apparently have an extra up-component. If you kick the ball with an oblique spin you get those banana curves.
There are more effects that could be considered, such as the air humidity* and other more complicated variables.
Bend It Like Roberto Carlos
Ever fancied trying to bend a ball like Roberto Carlos? Well, here's a possible way of recreating that magical moment:
Requirements
- a football pitch (goalposts and corner-flags recommended)
- a dry day
- a football
- some friends (a minimum of 7, including yourself, but if you feel like overdoing it, go with two full teams)
And if you are really feeling pedantic, get everyone kitted out in the respective kits - the blue for les Bleus, and the yellow and blue for the Samba Boys.
The Method
First of all, take into account the vital statistics of the small guy himself:
Physical Statistics
Despite his diminutive height, there is a substantial amount of muscle in his thighs that goes into engineering such a kick.
So, probably some kind of training would be in order.
Now, assuming you are Roberto Carlos, sort yourself and your friends into the following positions:
Roberto Carlos - stand 25 yards from the goal-line
The French Wall - 4 people, 10 yards from the ball
Fabien Barthez* - 1 person, standing on the goal-line, opposite the ball
The Ball-boy - 1 person, an entire goal-length to the right of goal, behind some imaginary hoardings
In the case of a surplus of friends, here are a few extra positions so they don't feel left out:
French Defender 1 - 1 person, standing 1 yard wide of the wall to your right, and 10 yards from goal
French Defender 2 - 1 person, standing to French Defender 1's left
French Defender 3 - 1 person, same distance away from goal as French Defender 1, only on the other side
Brazilian Attacker 1 - 1 person, standing just to French Defender 3's left
Brazilian Attacker 2 and 3 - 2 people, one standing just to French Defender 1 's left, another just behind him respectively
Brazilian Attacker 4 - 1 person, same distance away from the goal as Roberto Carlos, standing on a par with Brazilian Attacker 2
The Crowd - variable, but not on the pitch, as of yet
The Pundits - again, variable, but nicely critical; sheep-skin coats optional
Dry your boots and the ball. Place it in front of you, slightly to the right of the centre of goal, 25 yards out. Step about 5 yards away from the ball to give yourself a good run-up.
Run up to the ball with determination and vigour! Don't fall over in the process!
Kick the bottom of the right side of the ball with the outside of your left foot on the up-swing towards the Ball-boy, with an aim to getting the ball to a velocity of at least 70mph and a height of about ¾ the height of a goalpost.
Make sure the French Wall does a little jump and watches the flight of the ball. This also applies to all the other players.
Watch. The ball should appear to go about a yard wide of goal, straight towards the Ball-boy. Make sure the Ball-boy ducks at this point. Then, it should appear to take a sharp left-turn, clip the right goalpost and dip into goal.
Here's how you and your friends should react:
If you are playing the Brazilians, jump into the air and celebrate appropriately.
If you are playing the French, look suitably stunned and shocked. More specifically, if you are playing Fabien Barthez, look behind you at the ball in complete bafflement.
If you have a Crowd, make sure they react appropriately.
If you are the Pundits, either pour scorn Alan Hansen-style on the French defence or shower praise on the free-kick.
So, as we see, there's a lot of physical magic involved in a banana kick. And much skill from the free-kick taker in question. This is how to bend a ball like Roberto Carlos.
