Chapter 540： Magnus effect and scientific development concept

Manchester is spring.

The old tree pumps new branches, the tender grass breaks new shoots, the branches of the flying birds chirp, and young men, women and women are in groups.

There was a breath called spring in the air.

Carrington training base.

Probably the most precious single dog in history, Chu Ge seriously placed the football twenty-seven from the goal.

He stood in front of the ball and looked towards the goal.

After a day of training, the teammates have basically left the training ground to go to the spring date. Only Chu Ge is left on the training ground.

The entire Carrington has been contracted by Chu Ge.

"There are two types of football rotations: one is horizontal rotation and the other is vertical rotation. And behind these rotations, there are certain rules to follow. For example, Bernoulli's principle in physics."

"The Bernoulli principle explains where the force of football rotation comes from, but it cannot quantitatively explain the specific trajectory of football. This principle is for incompressible fluids, and air is actually compressible fluids."

"Specifically explaining the quantitative analysis of the running track of football requires the Magnus effect."

"It is mentioned in the Bernoulli principle that due to the interaction of the ball speed and the air pressure, in addition to its own gravity, the football will also be affected by a force F. The size and direction of this force F are determined by three factors The three factors are: coefficient (related to the surface viscous resistance), vector angular velocity of the football's rotation during flight, and vector velocity of the football. The vector angular velocity is multiplied by the appropriate speed and then multiplied by the coefficient to calculate the deflection force of the football Size. The right-hand rule can determine the direction of F. "

"The Magnus effect is more than football. Almost all ball games, such as basketball, table tennis, tennis, volleyball and other sports exist, and its main feature is rotation."

"Because of its particularity, football also has another situation, where there is almost no strong rotation, but it can still play a strange arc. For example, the S-shaped free kick swinging left and right, and Ronaldo and I are good at , Tomahawk-style elevator ball that is falling fast. "

"This type of football flight trajectory is due to the air resistance F generated during high-speed movement, and its size is equal to 1 / 2ρV ?? CdA."

"Ρ is the air density, V is the football speed, Cd is a coefficient, and A is the cross-sectional area."

"In football, it is clear that the biggest influence here is that the greater the speed of the football, the V ?? will significantly affect the size of the resistance. In flight, in addition to the influence of gravity, the football will also be affected by the resistance. The speed of the ball The faster, the greater the resistance, which causes the deceleration of the football. After the football flies for a distance, the horizontal speed of the football will quickly slow down with the influence of the resistance, and the biggest factor affecting the flight path of the football at this time is the gravity of the football .Under the influence of gravity, the football will fall obviously. "

"Quick up and suddenly fall, this is the elevator ball."

"This phenomenon is very obvious when the fireworks are displayed. The principle of the elevator ball is based on this."

"The key to kicking the elevator ball is that the resistance must be large enough. The core element that affects the resistance of the football is the initial speed of the football. This means that if you want to kick the elevator ball, you must use a large enough The strength gives the football a very fast speed. Just like Ronaldo and Ronaldo, if you kick a free kick at a speed of 120 kilometers per hour, an elevator ball will appear. "

"Theoretically, the trajectory of a free kick can be split into these three types. But in fact, the vast majority of free kicks are a combination of the above three trajectories."

"The rotation of a football in flight is not simply horizontal or vertical, but it is inclined. Whether it is the Bernoulli principle, the Magnus effect, or the air resistance will exist at the same time."

"It's just that banana **** and deciduous **** focus more on the rotation of football, while elevator **** emphasize the speed of football."

"In addition, in the high-speed movement of football, turbulence will also occur. The turbulence phenomenon is currently not quantitatively analyzed. It is also the existence of the turbulence phenomenon that makes the football flight trajectory fluctuate. First left then right, or first right That ’s why it ’s left. "

Chu Ge does not have the proficiency to brush free kicks as usual.

Facing the goal, he kept thinking, reviewing the homework he had done before.

Since Go can establish the correct choice through calculation, then, in football, can the law of physics be used to determine the trajectory of football flight?

This subject is very interesting.

In actual football games, confrontation is ubiquitous, and there are many factors to be considered in the calculation, which are very complicated.

Therefore, Chu Ge focused his research on the free kick.

Some players rely on talent for playing free kicks; others rely mainly on proficiency and only "foot" familiarity. Taken together, there are many free kick masters.

Chu Ge followed this path.

And now, after being inspired, he began to trust science.

For other players, using science to guide free kicks is theoretically feasible, but it lacks operability in practice.

But Chu Ge is different.

He is systematic ~ www.novelhall.com ~ After Chu Ge thought of using a scientific method to calculate the free kick trajectory and did a lot of homework, the football game in the system subdivided a free kick experience.

At present, Chu Ge's experience has reached 60%.

This shows that his current method is effective.

With the aid of the system, Chu Ge can constantly revise the calculation formula and use experience to summarize the influence of each value, so as to obtain the best free kick shooting method.

Earlier, after Chu Ge's extraordinary attributes reached SS, the system could estimate his extraordinary success rate.

This gave Chu Ge an inspiration.

All the assistance of the system is based on Chu Ge's own capabilities. And if Chu Ge figured out the principle of free kick flight trajectory and used exercises to correct routines, would n’t the system also remind various free-kick free throws and the success rate of the line, thereby improving Chu Ge ’s free kick goal efficiency?

"Through calculations, AI can become an excellent chess player."

"Then, through calculation, the penalty of free kick can also reduce uncertainty. Maybe, I can find out the free kick routine that will be killed."

Start thinking about it.

Chu Ge set the ball.

Start targeted exercises.

His free kick practice in the past is just a simple brush proficiency, just like selling oil.

Now, science has become Chu Ge's weapon.

...

Chu Ge hasn't mainly practiced free kick for a while, and after he has a goal, he will spend a lot of time on the special practice of free kick after the end of daily training.

"Talent is not terrible. What is scary is that people who are better than you are more hard-working than you."

Seeing Chu Ge practicing free kick every day, even Ibrahimovic couldn't help but sigh.

Remember Aishang: 1 second. m.