LONGITUDINALNI valovi - phy

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4 - 4 - Dodatak 1. F = k ⋅ s ..... - HOOK-OV ZAKON za deformaciju elastičnog krutog tijela. S ∆l F l 0 l relativno produženje: ∆l ε = l σ ε = σ - naprezanje E E - Young-ov modul elastičnosti F σ = S ∆l 1 = ⋅ l E F S → F = ES ⋅ ∆l l F = konst. ⋅ ∆l F = k ⋅ s Al 10 −2 E = 7 ⋅10 ( Nm ) Čelik 10 −2 E = 20⋅10 ( Nm )
5 - 5 - Dodatak 2: ⇒ s ( x, t) = Asin ( ωt − kx) ∂p ∂x 2 ∂ s = −ρ ⋅ 2 ∂t ρ - gustoća sredstva ( x, t) ∂s = Aω cos( ωt − kx) ∂t 2 ∂ s 2 = − Aω sin( ωt − kx) 2 ∂t 2 ∂p ∂ s 2 = −ρ ⋅ = + ρ ⋅ Aω sin 2 ∂x ∂t ∫ ∂p = p = p0 + ρ ⋅ A⋅ω ⋅ω ( ωt − kx) / dx 2 ω 2 ∫ sin ω ⋅ cos ( ωt − kx ) ⋅ dx ⎛ ⎞ ( ωt − kx ) ⋅ + ⎟ ⎠ ⎜ ⎝ 1 k ∆p λ ∆p max x p = p + ρ ⋅ Aω ⋅ v cos 0 ( ωt − kx) ; λ/2 t ωt ∆p max = Aρω ⋅v ∆p max s T ⇒ p − p 0 = ∆p = ∆p max cos ( ωt − kx) ; A ∆p = ∆p max cos ( ωt − kx) x -A λ ωt
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Page 7: 7 - 7 - I = P S = 1 2 2 ρv ρω A

LONGITUDINALNI valovi - phy

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