C16 - Wave Motion

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6 Terms

1

wave function f(x,t)

f(x,t) = f(x-vt) = Asin(kx-ωt+Φ)

k = wave # = 2π/λ

2

wave speed

v = λf = λ/T = sqrt(T/μ) = ω/k

3

transverse & longitudinal

long: F || vwave

tran: F vwave

4

transverse qtys

vy = -ωAcos(kx-ωt+Φ)

ay = -ω2Asin(kx-ωt+Φ)

5

wave energy (strings)

Kλ = Uλ = (ω2A2μλ)/4

Eλ = (ω2A2μλ)/2

P = (ω2A2μv)/2

6

linear wave eqn

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