Lecture 6 Notes

Lecture 6 Notes - Recap of last lecture Waves are...

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Recap of last lecture Waves are transverse or longitudinal or a combination If the oscillations producing the wave is a SHM velocity v = fλ where λ is the wavelength Wave function or amplitude of wave at Any arbitrary position x and time t is: y(x,t) = Acos(kx-ωt) Wave number k = 2π/λ
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Problem 15.11 A sinusoidal wave is propagating along a stretched string that lies along the x-axis. The displacement of the string as a function of time is shown for x=0 and x=0.09 m A) What is the amplitude of the wave? B) What is its period ? C) If the two points are within 1 wavelength and the wave is traveling along +x, what is the wavelength and the wave speed. D) If the wave is traveling in the –x direction what is the wavelength and wave speed.
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Problem 15.11 a) Amplitude is 4mm b) Period is 0.04s c) The peak at t=0.01 is the first max for x=0 and the same peak at x=0.09 occurs at t=0.035. Or 2 π (0.035/0.04 – 0.09/ λ ) = π /2; or λ = 0.14 m, and v= f λ= 25x0.14 = 3.5 m/s d) ( , ) sin[2 ( / / )]. y x t A t T x π λ = - ( , ) sin(2 ( / / )) y x t A t T x = + ( , ) sin(2 ( / / )) y x t A t T x = + The peak at t=0.05 is the first max for
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Lecture 6 Notes - Recap of last lecture Waves are...

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