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16.1 Propagation of a Disturbance

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Presentation on theme: "16.1 Propagation of a Disturbance"— Presentation transcript:

1 16.1 Propagation of a Disturbance
16.1 Pulse traveling to the right y (x, t) = ƒ(x – vt) 16.2 Pulse traveling to the left y (x, t) = ƒ(x + vt)

2 16.2 The Traveling Wave Model
16.3 16.4 16.5 16.6 16.7 16.8 Angular wave number

3 16.2 The Traveling Wave Model, cont.
16.9 Angular frequency 16.10 Wave function for a y = A sin (k x – wt) sinusoidal wave 16.11 16.12 Speed of a sinusoidal wave v = l ƒ 16.13 General expression for a y = A sin (k x – wt + f)

4 16.2 The Traveling Wave Model, cont.
16.14 16.15 vy, max = wA ay, max = w2A

5 16.3 The Speed of Waves on Strings
16.18 Speed of a wave on a stretched string

6 16.5 Rate of Energy Transfer by Sinusoidal Waves on Strings
dK = ½ (m dx) vy2 El = Ul + Kl = ½mw2A 2l 16.21 Power of a wave

7 16.6 The Linear Wave Equation
16.22 16.23 16.24

8 16.6 The Linear Wave Equation, cont.
16.25 16.26 Linear wave equation for a string 16.27 Linear wave equation in general


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