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 seco...
Two waves in the same medium are given by yix, t)3.8 sin(9.0x 3.4t) and y2(x, t)-3.8 sin(4.5x- 1.7t) (a) In what ways do the two waves differ? (Select all that apply.) angular frequency amplitude wavelength direction of motion speed b) Find the wave that results on this string. Hnt: Recall that sin α + sin β 2 sin α + β β Use the following as necessary and t cos α (c) What is the resultant wave's amplitude? (Use the...
Two transverse sinusoidal waves combining in a medium are described by the wave functions y_1 = 1.00 sin pi (x + 0.900t) y_2 = 1.00 sin pi(x - 0.900t) where x, y_1, and y_2 are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions. x = 0.240 cm |y max| = x = 0.340 cm |ymax| = x = 1.40 cm |ymax| = Find the three smallest...
1. Two waves are traveling along a rope. The individual waves are de- scribed by hi(t, x) = h2(t, x) = 0.3 cos(8x – 4t) 0.3 cos(7.6x - 3.8t) (a) Write the superposition hi + h, in the form h(t, x) = Acos (į Aku - Awt) cos (Kx – wt) (b) What is the amplitude A of the combined wave? (c) What is the phase velocity of the combined wave? (d) What is the group velocity All of the...
Two sinusoidal waves combining in a medium are described by the following wave functions, where x is in centimeters and t is in seconds. y1 = (1.0 cm) sin π(x + 0.40t) y2 = (1.0 cm) sin π(x - 0.40t) Determine the maximum transverse position of an element of the medium at the following positions. (a) x = 0.270 cm cm (b) x = 0.660 cm cm (c) x = 1.50 cm cm (d) Find the three smallest values of...
Two waves are traveling simultaneously down a long Slinky. They can be represented by the following equations. 41(x, t) = 0.00260 sin(6.00x – 330t) 42(x, t) = 0.00260 sin(7.20x – 250t) Distances are measured in meters and time in seconds. (a) Write the expression for the resulting wave. (Use the following as necessary: x and t. Do not include units in your answer.) W = (b) What are the phase and group velocities in m/s)? (Enter the magnitudes.) phase velocity...
Question 8 (2 points) Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 2 (sin nx) (cos 3nt) where X is in meters and t is in seconds. What is the distance between a pair of neighboring antinodes? 0.5 m 1.0 m 2.0 m 4.Om 8.0 m
The wave functions for two harmonic waves are given by D1(x,t) =(0.3m)sin(2.0x−3.0t), D2(x,t) =(0.3m)sin(2.0x−3.0t+π/2) where x is in metres and t is in seconds. If the resultant wave is expressed as Dresultant(x,t)=(C1)cos(C2)sin(C3x+C4t+C5) what are the constants? Please enter numeric answers, not equations and/or variables. C1/C2/C3/C4/C5 =? Include units.
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
6. A wave is described by y = 0.020 8 sin(kx - wt), where k = 2.22 rad/m, w = 3.66 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. (b) Determine the wavelength of the wave. (c) Determine the frequency of the wave. (d) Determine the speed of the wave. 7. When a particular wire is vibrating with a frequency of 3.00 Hz, a transverse wave of wavelength 64.0 cm is produced. Determine the...
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....