w(t, x) = f(bx + ct) for a transverse wave, where b and c are constants and f( ) is some arbitrary function. Is this a traveling wave model? If so, in what direction does it travel?
+x
-x
The wave does not move
In the y or z direction because the wave is transverse
w(t, x) = f(bx + ct) for a transverse wave, where b and c are constants...
5. Assume the transverse displacement, y(x,t), of a wave can be represented by: y(x, t) = sin(x – ct) Construct a wave diagram similar to Figure 1.5 in the textbook by computing values for y(x,t) where t varies from 0 to 21 (in increments of 1/4) and x varies from 0 to 1 (in increments of 1/4). Assume c=1. Feel free to use Matlab or Excel to find the values for y(x,t). a) plot the wave diagram by hand or...
A traveling wave is described by the function y(x,t) = 2 cos(3pi*t − 4pi*x), where y is in cm, x is in meters, and t is in seconds. a. In what direction is the wave traveling? b. What is the speed of the wave? c. What is the transverse acceleration of the wave at y = 0 and t = 1 second? d. Write an expression for the second harmonic of this wave (i.e., same speed, but twice the frequency).
A transverse wave on a string is described by the wave function y(x, t) = 0.334 sin(1.60x + 86.0t) where x and y are in meters and t is in seconds. Consider the element of the string at x = 0. (a) What is the time interval between the first two instants when this element has a position of y = 0.175 m? (b) What distance does the wave travel during the time interval found in part (a)?
1. A transverse wave on a string is described by y( x,t) = (0.1m)sin(0.4x + 5t) where x is measured in meters and t in seconds. a) What is the speed and the direction of travel of this wave? . A transverse wave on a string is described by y( x,t) = (0.12m)sin(0.5x + 4t) where x is measured in meters and t in seconds. b) What is the speed of this wave?
Can you do (b) and (c) only thank you PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) -...
A transverse wave on a wire is given by D(x,t)=0.045sin(26x−ft) where D and x are in meters and t is in seconds. a) Find an expression for a wave with the same amplitude, wavelength, and frequency but traveling in the opposite direction. b)What is the speed of either wave?
A transverse wave is traveling on a string stretched along the horizontal x-axis. The equation for the vertical displacement y is given by y(x,t) = Asin(kx-wt), where A is the amplitude of the wave is much smaller than the wavelength, an individual particle in the string has constant horizontal displacement x but oscillates in the y-direction. The maximum speed of the particle in the y-direction is... Aw A^2w Aw^2 w/k k/w
The wave function for a traveling wave on a taut string is (in SI units) y(x,t) = 0.360 sin 14πt − 2πx + π 4 (a) What are the speed and direction of travel of the wave? speed m/s direction (b) What is the vertical position of an element of the string at t = 0, x = 0.200 m? m (c) What is the wavelength of the wave? m (d) What is the frequency of the wave? Hz (e)...
A transverse traveling wave on a cord is represented by D=0.43sin(5.4x+66t) where D and x are in meters and t is in seconds. A)Determine the wavelength of this wave. B)Determine the frequency of this wave. C)Determine the speed of this wave. D)Determine the direction of this wave. E)Determine the amplitude of this wave. F)Determine maximum and minimum speeds of particles of the cord.
The transverse diaplacement for a wave on a string traveling in the +x direction is y(x,t) = (0.0090) sin (66.8m^-1)x-(310s^-1)t) what is it’s a) velocity b)wavelength c)frequency d)period e)amplitude (in units)