Question 5: The wavelengths in the x and y axes of the following transverse wave traveling at 10m/s in the xy plane are x=4m and 2y=3m, respectively. Write a mathematical expression u(x,y;t) for this wave? u +5 y
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- Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by y1=(25.0 mm)sin(8.37πt - 1.63πx) and y2=(37.0 mm)sin(2.89πt + 0.443πx). Note that the phase angles (8.37πt - 1.63πx) and (2.89πt + 0.443πx) are in radians, t is in seconds, and x is in meters. At t = 4.00 s, what is the net displacement (in mm) of the string at x = 2.29 m and x = 2.51 m?A transverse wave on a string is modeled with the wave function y(x, t) = 0.50 m sin [0.314 m−1x + 3.14 s−1 t + 0.20 rads]. Find the wavelength, frequency, and speed of the wave.Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 2 cm sin(4πx-60πt+π/3). The amplitude of the individual waves generating this wave is: 2/√3 cm 2 cm 8 cm 4/√3 cm 4 cm
- These two waves travel along the same string: Y₁ = (3.61 mm) sin(2.03πx - 380лt) Y2 = (5.73 mm) sin(2.03лx - 380πt +0.818лrad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.32 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave? (a) Number i (b) Number (c) Number Units Units UnitsYour answer is partially correct. A transverse wave on a string has an amplitude of 0.188 m and a frequency of 215 Hz. Consider the particle of the string at x = 0 m. It begins with a displacement of y=0m when t = 0 s. How much time passes between the first two instants when this particle has a displacement of y = 0.0817 m? Number i -0.000332 Units SA certain traveling wave on a string obeys the function: y1(x, t) = 0.5m cos((0.25π rad/m) x + (1.25π rad/s) t) What is the direction and speed of this wave? negative in the x direction and 5m/s 2b. A second wave is traveling on the same string in the opposite direction and is described by the function, y2(x,t) = 1.2m cos((5.75 rad/m) x - (2.50 rad/s)t). What is the direction and speed of this wave? positive in the x direction and 0.43m/s 2c. The two waves overlap at the point x = 0.47 m when t = 3.2 s, what is the amplitude of the string at this point and time? y1(x, t) = 0.5m cos((0.25π rad/m) (0.47) + (1.25π rad/s)(3.2))=? i get 0.47m is this correct? y2(x,t) = 1.2m cos((5.75 rad/m) (0.47) - (2.50 rad/s)(3.2))=? 0.66m is this correct? im looking for guidance on 2c the one that has been answered on the site I don't understand how that answer was attained and need clarification
- 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)?D, mm 1 0 00000000 The figure shows two waves traveling in the positive-x direction. The amplitude of the resultant wave is O 1.0 mm. O zero. O 1.8 mm. O 1.4 mm. O 2.0 mm.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?
- pleaseWhat are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (6ñ m¯¹)x + (4ñ rad/s)t - n/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving?A transverse wave traveling on a taut wire has an amplitude of 0.200 mm and a frequency of 580 Hz. It travels with a speed of 196 m/s. a) If the wave equation is written in the form y = A sin(kx - ωt), what are the parameters A, k, and ω? A = m b) The mass per unit length of this wire is 4.70 g/m. Find the tension in the wire (in newton).