If we have a position wave function y(x, t) = Acos(kx - wt), and we rely...
If we have a position wave function y(x, t) = Acos(kx - wt), and we rely on the second derivate of this function to find the maximum transverse acceleration of particles on a rope, would we use amax = Aw2 or amax = - Aw2, since the second derivative would retain the minus sign?
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If we have a position wave function y(x, t) = Acos(kx - wt), and
we rely...
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3...
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3 cm, k=0.2π rad/cm, and ω = 10π rad/cm. For both t = 0.05s and 0.07s sketch the string for 0 s xS 10 cm
check whether the function E(x,t)= Asin(kx^2-wt^2) satisfies the wave equation. if so, find the wave speed....
check whether the function E(x,t)= Asin(kx^2-wt^2) satisfies the wave equation. if so, find the wave speed. if not explain
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x,...
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x, t) = -B_max cos(kx + omega t), find the direction of the Poynting vector. in the - y -direction in the +x -direction in the +y -direction in the -x -direction Part B Find the average magnitude of the Poynting vector. Express your answer in terms of the variables E_max, B_max, and appropriate constants (mu 0 or epsilon_0). submit
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
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...
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t...
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t (A) Determine the wave's (a) amplitude; (b) wavelength; (c) propagation speed (d) frequency (e) direction of propagation (B) An element of the string is located at x 2.25 m (a) Show that the motion of this element is a simple harmonic motion with a transverse displacement of the form y(t) Acos ( t + ф). (b) Determine the phase constant φ (c) Give its...
A transverse wave on a string is modeled with the wave function y(x, t) (0.80 m)sin[(0.85...
A transverse wave on a string is modeled with the wave function y(x, t) (0.80 m)sin[(0.85 m)x (1.70 s)t 0.20]. (Indicate the direction with the signs of your answers.) (a) Find the wave velocity (in m/s). m/s (b) Find the position (in cm) in the y-direction, the velocity (in cm/s) perpendicular to the motior of the wave, and the acceleration (in cm/s2) perpendicular to the motion of the wave of a small segment of the string centered at x 0.40...
A traveling wave is described by the function y(x,t) = 2 cos(3pi*t − 4pi*x), where y...
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 sinusoidal transverse wave is travelling along a string in the negative direction of an x...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 3.3 N, and its linear density is 44 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave, (e) Find the maximum transverse speed of a particle in the...
A wave is modeled with the function y ( x , t ) = 0 ....
A wave is modeled with the function y ( x , t ) = 0 . 2 5 cos ( 0 . 3 0 x − 0 . 9 0 t + π/ 3 ) where all lengths are in meters and all times in seconds. a. Find the wavelength of the wave. b. Find the period of the wave. c. Find the wave speed (a positive number). d. What is the instantaneous velocity of one of the particles that...
Consider the following wave function: y(x, t) = cos(kx - omega t). a. Show that the...
Consider the following wave function: y(x, t) = cos(kx - omega t). a. Show that the above function is an eigenfunction of the operator partialdifferential^2/partialdifferential x^2[...] and determine its eigenvalue. b. Show that the above function is a solution of the wave equation expressed as partialdifferential^2 y(x, t)/partialdifferential x^2 = 1/v^2 partialdifferential^2 y(x, t)/partialdifferential t^2, given the wave velocity is v = omega/k (where omega = 2 pi V and k = 2pi/lambda).
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3 cm, k=0.2π rad/cm, and ω = 10π rad/cm. For both t = 0.05s and 0.07s sketch the string for 0 s xS 10 cm
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x, t) = -B_max cos(kx + omega t), find the direction of the Poynting vector. in the - y -direction in the +x -direction in the +y -direction in the -x -direction Part B Find the average magnitude of the Poynting vector. Express your answer in terms of the variables E_max, B_max, and appropriate constants (mu 0 or epsilon_0). submit
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t (A) Determine the wave's (a) amplitude; (b) wavelength; (c) propagation speed (d) frequency (e) direction of propagation (B) An element of the string is located at x 2.25 m (a) Show that the motion of this element is a simple harmonic motion with a transverse displacement of the form y(t) Acos ( t + ф). (b) Determine the phase constant φ (c) Give its...
A transverse wave on a string is modeled with the wave function y(x, t) (0.80 m)sin[(0.85 m)x (1.70 s)t 0.20]. (Indicate the direction with the signs of your answers.) (a) Find the wave velocity (in m/s). m/s (b) Find the position (in cm) in the y-direction, the velocity (in cm/s) perpendicular to the motior of the wave, and the acceleration (in cm/s2) perpendicular to the motion of the wave of a small segment of the string centered at x 0.40...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 3.3 N, and its linear density is 44 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave, (e) Find the maximum transverse speed of a particle in the...
Consider the following wave function: y(x, t) = cos(kx - omega t). a. Show that the above function is an eigenfunction of the operator partialdifferential^2/partialdifferential x^2[...] and determine its eigenvalue. b. Show that the above function is a solution of the wave equation expressed as partialdifferential^2 y(x, t)/partialdifferential x^2 = 1/v^2 partialdifferential^2 y(x, t)/partialdifferential t^2, given the wave velocity is v = omega/k (where omega = 2 pi V and k = 2pi/lambda).
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