Re: [理工] 白金漢pi理論abc無限多解

作者: Honor1984 (希望願望成真)   2016-09-17 18:24:54
※ 引述《sakishil (亞凱)》之銘言:
: http://i.imgur.com/jNLRgSD.jpg
: 這題題目用這樣解
: http://i.imgur.com/aSh1pNp.jpg
: 我想請問只能用FLT解嗎(
MLT也一樣能解阿
[△h] = [D] = L
[γ] = M / (L^2 T^2)
[σ] = M / T^2
用D和γ
[(△h)]^a [D]^b [γ]^c
L^a L^b M^c / [L^(2c) T^(2c)] = 1
a + b - 2c = 0
c = 0
=> a = -b
取△h/D
[D]^a [γ]^b [σ]^c
= L^(a - 2b) M^(b + c) T^(-2b - 2c) = 1
=> a - 2b = 0
b + c = 0
=> a = 2b
c = -b
取(D^2 γ / σ)^(-1)
=> (△h / D) = f(σ / (γ D^2))
一樣得到跟解答相同的結果
作者: cubegaga (方塊卡卡)   2016-09-18 20:53:00
h大本科是念什麼的呀 什麼題目都會解 好強
作者: sakishil (亞凱)   2016-09-18 10:37:00
我回去用電腦看 先感謝了
作者: zxc2051516 (SilverCrow)   2016-09-17 23:44:00
H大超猛,什麼科目都會解!!

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