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A sinusoidal wave is propagating along a stretched string
Chapter 15, Problem 11E(choose chapter or problem)
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 graphed in ?Fig. E15.11 for particles at x = 0 and at x = 0.0900 m. (a) What is the amplitude of the wave? (b) What is the period of the wave? (c) You are told that the two points x = 0 and x = 0.0900 m are within one wavelength of each other. If the wave is moving in the + x-direction, determine the wavelength and the wave speed. (d) If instead the wave is moving in the – x-direction, determine the wavelength and the wave speed. (e) Would it be possible to determine definitively the wavelengths in parts (c) and (d) if you were not told that the two points were within one wavelength of each other? Why or why not?
Questions & Answers
QUESTION:
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 graphed in ?Fig. E15.11 for particles at x = 0 and at x = 0.0900 m. (a) What is the amplitude of the wave? (b) What is the period of the wave? (c) You are told that the two points x = 0 and x = 0.0900 m are within one wavelength of each other. If the wave is moving in the + x-direction, determine the wavelength and the wave speed. (d) If instead the wave is moving in the – x-direction, determine the wavelength and the wave speed. (e) Would it be possible to determine definitively the wavelengths in parts (c) and (d) if you were not told that the two points were within one wavelength of each other? Why or why not?
ANSWER:Solution 11E Step 1: (a).The maximum extent of a vibration or oscillation,measured from the position of equilibrium. According to the figure E15.11 Amplitude = 4.00 mm