Write an equation for a sine wave with amplitude 0.129 m, wavelength 0.200 m, and wave...
Write an equation for a sine wave with amplitude 0.120 m, wavelength 0.293 m, and wave speed 6.41 m/s traveling in the -x-direction. y(x,t) = (a m)sin[( b s-1)t + (c m-1)x] where a = b = c =
Write the y-equation for a wave traveling in the negative x-direction with wavelength 10 meters, speed 2 m/s, and amplitude 40 centimeters
The equation of a transverse wave traveling along a very long string is y = 3.96 sin(0.0444πx+ 7.89πt), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 1.05 cm when t = 0.843 s?
SELF TESTI 1. A wave is described by the equation y = 4 sin(31-6x) (SI units). a) Is the wave traveling in the +x or -x direction? b) Determine the amplitude, angular frequency, wavenumber, frequency, period, and wavelength (don't forget units). 2. A wave moves along a string in the +x direction with a speed of 8.0 m/s, a frequency of 4.0 Hz, and amplitude of 0.050 m. a) Determine the wavelength. b) Determine the wavenumber. c) Determine the period....
The equation of a transverse wave traveling along a very long string is y = 6.28 sin(0.0223πx+ 3.63πt), where x and yare expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 4.95 cm when t = 0.876 s?
(a) What are the wavelength and frequency of the EM wave? (b) Write an equation for the magnetic field vector of the EM field. (c) What is the average Poynting vector? . The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation Ēy(1,t) = (325 N/C) cos[(4500 m-1)– (1.35 x 1012 rad/s)t +0.6]j (a) What are the wavelength and frequency of the EM wave?
Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. These waves travel in the x direction, and at t = 0 the x = 0 end of the string is at y = 0 and moving downward. A. Find the frequency of these waves. B. Find the period of these waves. C. Write the equation for y(x,t) describing these waves. D. Find the transverse displacement of a point on the string at x2...
The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) the amplitude cm (b) the wavelength cm (c) the frequency Hz (d) the speed cm/s (e) the direction of propagation of the wave +x−x +y−y (f) the maximum transverse speed of a particle in the string cm/s (g) the transverse displacement at...
(1) A wave is traveling in the positive y direction with wavelength λ = 12 m and frequency f = 1/6 Hz. At t = 0, there is no displacement of the medium at the origin, but its amplitude is 6m. (a) Write the equation for the displacement of this wave as a function of position and time. (b) Draw a quantitatively accurate history graph (at y = 3m) and snapshot graph (at t = 2s). (c) What is the...
(1) A wave is traveling in the positive-y direction with wavelength λ “ 12 m and frequency f “ 1 6 Hz. At t “ 0, there is no displacement of the medium at the origin, but its amplitude is 6m. (a) Write the equation for the displacement of this wave as a function of position and time. (b) Draw a quantitatively accurate history graph (at y “ 3m) and snapshot graph (at t “ 2s). (c) What is the...