16.1 Propagation of a Disturbance

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QUICK QUIZ 16.1 (end of section 16.2)

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Presentation transcript:

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)

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

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)

16.2 The Traveling Wave Model, cont. 16.14 16.15 16.16 vy, max = wA 16.17 ay, max = w2A

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

16.5 Rate of Energy Transfer by Sinusoidal Waves on Strings 16.19 dK = ½ (m dx) vy2 16.20 El = Ul + Kl = ½mw2A 2l 16.21 Power of a wave

16.6 The Linear Wave Equation 16.22 16.23 16.24

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