Assignment 1

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ASSIGNMENT 1 1. The equation of a transverse wave traveling along a very long string is y = 4.25 sin(0.0130πx+ 5.95πt), where x and y are expressed in centimeters and t is in seconds. Determine: (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, and (e) the maximum transverse speed of a particle in the string. (f) What is the transverse displacement at x = 7.25 cm when t = 0.554 s? 2. A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 2.9 N, and its linear density is 26 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find the maximum transverse speed of a particle in the string.If the wave is of the form y(x,t) = y m sin(kx - ωt + φ), what are (f)k, (g)ω, and (h)φ?

Transcript of Assignment 1

ASSIGNMENT 11. The equation of a transverse wave traveling along a very long string is y = 4.25 sin(0.0130x+ 5.95t), where x and y are expressed in centimeters and t is in seconds. Determine: (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, and (e) the maximum transverse speed of a particle in the string. (f) What is the transverse displacement at x = 7.25 cm when t = 0.554 s?2. A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 2.9 N, and its linear density is 26 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find the maximum transverse speed of a particle in the string.If the wave is of the form y(x,t) = ym sin(kx - t + ), what are (f)k, (g), and (h)?