Q-8. What phase difference between two identical traveling waves, moving in the same direction along a stretched string, results in the combined wave having an amplitude 1.50 times that of the common amplitude of the two combining waves? Express your answer in (a) degrees, (b) radians, and (c) wavelengths.
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- A string is clamped at both ends and has a length of 8.4m and a mass of 120g. It also has a tension of 96N and is vibrating. a) What is the speed of the wave on the string? b) What is the longest possible wavelength of a standing wave on this string? c) What is the frequency of the wave?7) A string is tied at both ends. The linear density of the string is 9.2 gr/m. The length of the string is 120 cm. The speed of the wave is 42 m/sec. A standing wave is produced with an amplitude of 4 cm. The pattern produced is a 5th harmonic. a) What is the tension on the string? b) What is the amplitude of the traveling wave? c) What is the angular frequency of the wave? d) What is the wavelength of the wave pattern? e) What is the frequency of the wave pattern? f) At what distances are the nodes located? g) At what distances are the antinodes located? h) What is the constant of propagation? i) Write a function to describe the wave patternPlease Asap
- Problem #9: A transverse wave on a string is modeled with the wave function y (x, t) = (0.20 cm)sin (2.00 m e- 3.00 s lt +) a) What are the wavelength and frequency of this wave? b) What is the speed of the wave? c) What is the height of the string with respect to the equilibrium position at a position x=3.00m and a time t=5.00s?Problem 1 Let y1 = A sin(kr – wt + a) and y2 = B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are two possibly different amplitudes, and a and ß are two possibly different phase shifts. The wave vector k and angular frequency w of each wave are the same. a) What are the phasors for each wave, denoted 1 and 2? b) What is the sum of the phasors? c) What is the radius R and phase angle o of the phasor in part b)?The Function of a travelling wave on a string with a linear mass density of u = 3.0 kg/m is given by the following wave function: y(x,t) a) What is the wave speed? 0.25 sin(57TX + 16n), Here x and y are in meters and time is in seconds. b) In which direction is the wave travelling? c) How much tension is in the string? d) Find the particle velocity at position x= 1.5 m and at time t = 14 seconds e) Draw a snapshot of the wave for one whole wavelength at t = 14 seconds.
- 9. A plane seismic wave, travelling vertically downwards in a rock of density 2200 kg m-3 with seismic velocity 2000 m s-1, is incident on the horizontal top surface of a rock layer of density 2400 kg m-3 and seismic velocity 3300 m s-1. (a) What are the amplitude ratios of the transmitted and reflected waves? (b) What fraction of the energy of the incident wave is transmitted into the lower medium?a° y(z,t) 1 d*y(x,t) Which of the following wave functions satisfies the wave equation? A.) y(x, t) = A cos(kæ + wt) B.) y(x, t) = A sin(kx +wt) C.) y(x, t) = A[cos(kæ) + cos(wt)] For any of the equations above that satisfy the wave equation what are the transverse velocity and acceleration of a particle at point x?For a certain transverse wave, the distance between two successive crests is 1.77 m. And starting from the time when a crest passes through a certain point, 5 subsequent crests will then pass the same point over a time of 10.3 s. Calculate the wave speed (in unit of ms-1).