For two travelling waves denoted as A sin(kx – աt) and A sin(kx – ᴨ – աt)
Draw the resultant displacements obtained by combined them.
Y is in meters. X is in seconds.
For two travelling waves denoted as A sin(kx – աt) and A sin(kx – ᴨ –...
Two traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x − 1125t)] y2 = 4.80 sin [π(4.10x − 1125t − 0.250)] where x, y1, and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2?
show the graphical shape of two traveling wave and displacements obtained by combining them..Use the two following waves: A sin(2kx − ωt) and A sin(kx + π/2 − ωt).
A cos(kx - wt) and y2 = A cos(kx - wt - 6) represent two waves traveling in the same direction with the same amplitude A, frequency w, and wave number k, but with a phase difference . Here, A = 14.0 m, w = 3.95 s1, and k 15.5 m-1 y, (a) Write the expression for the resultant of the two waves using the numerical values given above for A, w, and k. Do not enter units for the...
7-17 The following two waves in a medium are superposed: A sin(6x 10t) sin(4x 9t) 2= where x is in meters and t in seconds. (a) Write an equation for the combined disturbance. (b) What is its group velocity ? (c) What is the distance between points of zero amplitude in the combined disturbance?
Two waves are traveling in opposite directions on the same string. The displacements caused by the individual waves are given by yi (27.0 mm)sin(7.35nt 1.95nx) and y2 (34.0 mm)sin(2.88nt+0.488nx). Note that the phase angles (7.35nt 1.95nx) and (2.88nt+0.488nx) are in radians, t is in seconds, and x is in meters. At t = 3.10 s, what is the net displacement (in mm) of the string at (a) x- 2.26 m and (b) x- 2.67 m? Be sure to include the...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(25.0 mm)sin(8.50πt - 1.24πx) and y2=(38.0 mm)sin(3.43πt + 0.267πx). Note that the phase angles (8.50πt - 1.24πx) and (3.43πt + 0.267πx) are in radians, t is in seconds, and x is in meters. At t = 5.80 s, what is the net displacement (in mm) of the string at (a) x = 2.02 m and (b) x = 2.85...
Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(22.0 mm)sin(9.86πt - 1.52πx) and y2=(36.0 mm)sin(2.53πt + 0.330πx). Note that the phase angles (9.86πt - 1.52πx) and (2.53πt + 0.330πx) are in radians, t is in seconds, and x is in meters. At t = 3.20 s, what is the net displacement (in mm) of the string at (a) x = 2.31 m and (b) x = 2.93...
how to solve it ?
.47. The form of a sound wave travelling through air is S(x,t) = S" cos (kx + 3000t +の, where x is in meters and t in seconds. What is the shortest time interval that any air molecule takes along the path to move between displacements SS/ and SSm/3? (Ans: 0.23 ms)
Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing a net wave y´(x, t) = (3.50 mm) sin(14.0x - 3.50t + 0.840 rad), with x in meters and t in seconds. What are (a) the wavelength λ of the two waves, (b) the phase difference between them, and (c) their amplitude ym?
Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing the net wave: y(x,t) = (11.4 cm) * sin(3.9*x - 53.6 s-1*t + 0.11 rad); with x in meters and t in seconds. What is the phase difference between them?What is their amplitude? What is their period?