What do you mean by accelerating 100 km? How to calculate the driving distance of my throttle from 0 to 100 yards?

I'll answer, haha! This is a good question, but it is actually a very complicated one. In line with the principle that you must be excellent if you don't answer. I will explain the results of more than an hour and answer this question. Come and see the technical house! Viewers who are not interested in the research can look at the results directly! As follows:

1. Difficulties and mistakes:

Many people will directly use the junior high school method, S=V*T, and simplify the calculation with the average speed. I can only say that it is better not to count! ? Another method is to use s = 1/2 a * t 2? Come on, congratulations, progress! But the acceleration a is not a constant, and the process of the car is a complex process with variable acceleration, so it is still not the correct answer! Unless you are good enough, you can accurately solve the average V or average A value in the last two formulas. Look at me!

2. Ideas for analyzing and solving problems:

This question should be the knowledge range of calculus (fortunately, I didn't forget, Khan ~). You know golf r, not bad, you should have seen the evaluation, right? One data in the evaluation is the acceleration curve! Yes, we are going to use this curve to calculate (I wonder if that speed measuring software can work it out)! The x coordinate of the curve is time, and the y coordinate is speed. Obviously, X*Y is the area, that is, t*v=s, isn't it very simple? But the direct multiplication is the area of a triangle, but the area is actually larger than this triangle, that is, this time speed line is not a straight line with a slope of 1, but a curve with an average slope greater than 1! Finding the area of this curved trapezoid (calculus formula, which can be considered as a curved triangle ~) is what you want!

3. Problem solving process:

Having said that, let's get down to business. First of all, the curve measured by each car is different, obviously the area is different, so we can't talk about this problem in general. So, I'll take the golf GTI as an example (the graph of R has not been found yet). Golf GTI has a strong power (digression), and the measured acceleration of 100 kilometers is 6.78 seconds. For practical reasons, I changed it to 6.8 seconds. The measured curve is as follows (the figure has been sorted out to avoid too much, so let's take a look).

Solution 1: fitting, not much to say. Simulate the curve with a computer, which should be a logarithmic curve, and get y=f(x). Solve it with calculus, without specific writing. It's inconvenient to type with symbols, just understand.

Scheme 2: My scheme involves a lot of knowledge such as astronomy and geography. Hehe, first import the graph into CAD, and simulate the curve with multi-segment lines (actually, it is also a fitting process). Then, because the original X and Y coordinate scales are different, the simulation curve screenshots are first converted and imported into PS. Then use the stretching tool to put the Y coordinate into the same proportion, and then import it into CAD to form the following final figure, in which a curved triangle is formed. By then, magic will appear soon! Fill the curved triangle, click the right-click attribute of the filling pattern, and the system will automatically get the result: 104.9969m! ! ! !

4. Summary

First of all, there are errors in both kinds of fitting, and the function is not necessarily more accurate than this. In terms of accuracy, I think it is enough!

Looking at the picture, we can see that the calculated area seems to be similar to that of the triangle method. After calculation, s=vt=27.28*6.8/2=92.752m, is it much worse? Another acceleration scheme, I don't want it, anyway, it's wrong, quote the answer, 125m, hehe, much worse! For me, getting these data is very valuable! At least for GTI, I know that the 100-meter race and 0 1 race are basically the same concept, with a difference of 5 meters, but for example, if a 9-second car runs to 100km/h, it can greatly exceed100 m. Similarly, for high r, it is less than 100 m! Images, right?

I have analyzed the high-end problems such as the relationship between the tail speed and acceleration of the 04 car in detail before, hehe, interesting, so that you can get several body differences between the two cars without venue competition! Not bad, huh? Let's talk about it next time ~

Step 5 amend

To meet the requirements of the landlord, the answer is: ordinary modification, of course, brushing ECU, that is, computer programs, changing vehicle setting information, ignition angle, fuel injection quantity, turbocharging value and so on. However, for the canned ECU program currently on the market, it is necessary to cooperate with the hardware to achieve the effect. If the ECU is so-called 1 step, there is no need to change it. Generally, it is necessary to improve the exhaust coordination and consider installing a pressure reducing valve. ? To put it bluntly, the dynamic change should be coordinated with the control, otherwise the imbalance will be useless. Generally, we can consider lightweight forged wheels, twisted teeth for shock absorption, anti-roll bars, multi-piston brakes and so on. . Another way, weight loss, can also be considered, but for ordinary civilian vehicles, there is not much to say, and there is basically no good plan.

Manual pure code word, plus problem solving, one ***2 hours, hope to adopt, not rare, hope to be recognized!