5. (One word) When two waves are present in the same medium, the net displacement is...
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...
2. (One word) In a standing wave the positions at which the medium has maximum displacement are called
Learning Goal:
To gain an understanding of constructive and destructive interference.
Consider two sinusoidal waves (1 and 2) of identical wavelength ?, period T, and maximum amplitude A. A snapshot of one of these waves taken at a certain time is displayed in the figure below. (Figure 1) Let y1(x,t) and y2(x,t) represent the displacement of each wave at position x at time t. If these waves were to be in the same location (x) at the same time, they...
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...
Please explain!
15. The superposition of two waves traveling in the same medium produces a standing wavel pattern if the two waves have which TWO of the following? (A) the same frequency (B) the same amplitude (C) the same direction of travel (D) the same phase Explain why you chose the answer you did
Problem 2 Consider the following two mechanical waves traveling in opposite directions in the same medium: yr(x, t) 10 cos(10t - 10x) cm y2(x, t) 10 sin(10t + 10x) cm where x is in centimeters. It can be said that the waves interfere with each other constructively where their superposition, [ysl = y, + y2l, is at a maximum and that the waves interfere with each other destructively where ly,l is at a minimum. Answer the following: a) For time...
1. Two waves of the same wavelength interfere - in which case(s) below, will the two waves experience fully destructive interference? (Note: π is "pi") A) the two waves are 90o degrees apart in phase B) the two waves are 2π radians apart in phase C) the two waves are π radians apart in phase D) the two waves are 1.5 wavelengths apart in phase E) the two waves are one wavelength apart in phase F) the two waves are...
You are working with waves that show distinct crests as they travel in a water medium. Two consecutive points on the crests that have the same particle direction and energy would be said to be 9. . (two or more words)
You are working with waves that show distinct crests as they travel in a water medium. Two consecutive points on the crests that have the same particle direction and energy would be said to be 9. . (two or...
7.1 When there are two traveling waves of the same wavelength and frequency (hence the same velocity) in phase: fA (x, t) A sin(kx- ot) fs (x, t) B sin(kx ot) then it's clear that the actual wave you observe is fa B fA (x, t)+ fs (x, t (A B) sin(kx-ot) due to superposition principle. Namely, you observe the same wave form, except now the amplitude is A+ B. Now consider there are two waves of the same wavelength...