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Sunday, October 3, 2010

A Few Useful Formulas

//===============
//Chapter 1:
//===============
v = d / t
a = v / t
F = ma
p = F⊥ / A
W = Fd
W = mgh
KE = (1/2)mv²
PE = mgh
PE = (1/2)Ky²
PE = (1/2)(V/P₀)p²
PE = (2T / L)y²
Ƥ = W / t

//===============
//Chapter 2:
//===============
ƒ = 1 / T
ƒ = (1/2π)√(K/m)
KE = (1/2)mv²
PE = (1/2)Ky²
ƒ = -Ky
ƒ = (1/2π)√(g/l)
ƒ = (1/2π)√(ΥpA/ml)
ƒ = (v/2π)√(a/Vl)
m = ρal
K = ρa²v² / V
V = (4/3)πr³
ƒª = (1/2π)√(K/m)
ƒᵇ = (1/2π)√(3K/m)

//===============
//Chapter 3:
//===============
v = ƒλ
v = √(E/ρ)
v = √(T/μ)
v = √(ΥRT/M)
ƒ'= ƒs ((v+v₀)/v)
ƒ = ƒs (v/(v-vs))

//===============
//Chapter 4:
//===============
Q = ƒ₀/Δƒ
ƒn = n (v/2L) = nƒ₁
ƒn = (n/2L)√(T/μ)
ƒn = (n/2L)√(E/ρ)

//===============
//Appendix 10:
//===============
y = AsinΦ = Asin360(t/T)
sin = opposite / hypotenuse
coh = adjacent / hypotenuse
tan = opposite / adjacent

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