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wave function f(x,t)
f(x,t) = f(x-vt) = Asin(kx-ωt+Φ)
k = wave # = 2π/λ
wave speed
v = λf = λ/T = sqrt(T/μ) = ω/k
transverse & longitudinal
long: F || vwave
tran: F ⊥ vwave
transverse qtys
vy = -ωAcos(kx-ωt+Φ)
ay = -ω2Asin(kx-ωt+Φ)
wave energy (strings)
Kλ = Uλ = (ω2A2μλ)/4
Eλ = (ω2A2μλ)/2
P = (ω2A2μv)/2
linear wave eqn