B2L2 寫:Math and sci doesn't lie, so let's stick with.
Remember what you have said here, “stick with,” but you don't know what the “math and sci” methods are. You may have some “critical thinking” training, but your “critical thinking” lacks of “scientific” discipline.
So you have another definition, or something you don't understand that you need more explanation?
Asking question to pretend that you responding? 弱慢族的denials.
You quoted the very 1st formula and get it wrong. You basically lost the whole discussion already. The quoted formula describes the relation between R and V, but it didn't imply what you claimed is correct. You said "mathematically, the longer the turn radius the faster the speed" is plainly wrong, unless "centripetal acceleration is equal".
There is no such thing as “plainly wrong” in “math and sci” discipline, you either "prove" it or "disprove" it, if you cannot disprove it and insist on the wrong conclusions you are in denials, or other way of saying, you don't know what constitute a “proof,” and you don't know how to “prove” things.
I asked the question again, why and how you could assume the centripetal acceleration is equal in these two cases? Even Norman could name one thing that affects centripetal force, he named lean angle. How could you assume that the bigger turn and small turn both have the same lean angle from the skier?
Assuming “all else equal” is the “standard practice” of scientific method/discipline, one more proof that you lack of “scientific” methods/discipline.
Let's re-use your logic here.
A person height = length of lower body + length of upper body
With the person height the same, the longer his lower body, the shorter his upper body. Fair. Now I say playing soccer will make his legs longer. Putting the condition "will all else equal" (i.e. his height remains the same). Could then I conclude that playing soccer will shorten his upper body?
Is this logic make sense to anyone?
Apply this back to skiing, does it make any sense to assume the longer turn radius to have the same centripetal force as the shorter turn?
“白痴邏輯”‧ No, you play soccer may make you legs thicker, but not “longer,” and a human body does not grow as 1+1=2, your premises are wrong, and your conclusion is also wrong. And noone here has assumed what you've assumed.
In math, nobody don't care about approximate value of "a". If you want to draw a conclusion between the relation between R and V, you will have to use a constant "ac" value. Otherwise, your conclusion means nothing at all.
It may not mean anything to you, but all other “scientists” know what it means, and they have used it to sent man travels to the moon.
In math, nobody have to keep "quiet". There is only right or wrong. Even I keep quiet doesn't make your right.
And your denial doesn't make you're right, and not "keep quite" doesn't mean you are asking questions, but whining.
You're the person using the "the higher the KE gives higher performance" statement. The question should be for yourself, and I even said to stick with this for discussion. What're you whining about?
Not sure what you're whining about here.
Did the P-51 ever shot down any ME262?
The question here is not “kill ratio,” but “performance.”P-51 turns better, but Me262 has much better speed performance, and in air wars speed is the king, (and that's why in skiing downhill downhill is called the “king of the skiing,”) which is proven in Vietnam war.
Back to math for a sec. If both ME262 and P-51 carry a weight of 10,000lb, both travelling at 400mph. Using "KE=1/2* m*V*V", they both have the same KE. Is there still performance difference between the two plane? If you simply use KE for measurement for performance, at this case they have the same. This is what I disagree on using KE for performance measure.
You lack of aeronautical knowledge, and your math is just as bad. See that little “m” there in the formula? That's a “variable” that you have not accounted for, not to mention that engine power and wing design all make major difference on airplane performance, so even they have the same KE, their performance will be likely different. The relationship of the KE and performance in skiing can be easily see on a black slope, without sufficient speed (higher KE) you cannot turn well on it.
i) "angular velocity" is not "linear". When an object spin at the same spot for 360degree/min, its linear velocity = 0, its angular velocity is 6 degree/sec. Please check your definition again.
[the object also have a 0 linear KE, it's angular KE is not, please check your definition as well.]
I think that you are confused about “spinning” with “travelling in a curved path,” wrong subject, and as it is not travelling, of course it has no “linear KE,” nevertheless, do you think whether or not that spinning object has a KE?
ii) Are we talking about the ski track? The ski track left behind is clearly in a curve. I can't agree that you name it a "linear" line.
I think that you confused about “straight” with “linear” too, all “lines” are “linear,” so a curve line is “linear.”
Again, in math, no one cares about "estimate". KE is defined by the formula you quoted. If you know m and V, no one needs to estimate. If you don't know the KE, you couldn't conclude which one has higher performance (since you said higher KE equals to higher performance). If you're guessing/estimating, then you're guessing/estimating.
If you could prove one thing math/sci/physically, then the prove shouldn't required people's experience in doing the two different turns. Your question is unrelated to this math prove. If this is your way to exit your ill-prove, then said it that way.
Thanks for proving yourself are math/physics/science challenged.
Wait until you could answer the questions and finish your proof before saying this. You have so many wrong and misleading info.
Yes,
I did predict that you would deny it. What you throw out just bunch of “terminology” that you “copy&paste” from somewhere, and you have no ideas how they “relate,” and your analysis method is not scientific, and all that mumble jumble just to cover that you cannot answer my simple question, “what is “higher performance” in skiing?” Yup, “shameful critic, shameful person,” wanna try [to answer] it again?
:)
IS