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6. A wave is described by Y(xt) = 0.4m cos(2400x - 3600mt)...
SELF TESTI 1. A wave is described by the equation y = 4 sin(31-6x) (SI units)....
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....
A sinusoidal wave is described by the wave function, y = (0.20 m) sin(0.16x − 54t)...
A sinusoidal wave is described by the wave function, y = (0.20 m) sin(0.16x − 54t) where x and y are in meters and t is in seconds. Determine the following for this wave. (a) the amplitude ______________ m (b) the angular frequency _______________ rad/s (c) the angular wave number _____________ rad/m (d) the wavelength _________ m (e) the wave speed ________ m/s
Please solve the whole question Question 1 (a) Determine if the following functions represent traveling waves?...
Please solve the whole question
Question 1 (a) Determine if the following functions represent traveling waves? (b) Could either represent a harmonic wave? (c) If possible, determine the velocity of the wave (speed and direction) wavelength, angular frequency and the phase of the wave:() y(xt)-A(x -1) and, (I) E(x,t) = E, cos k(x-ct). (20 pts)
11.9 A sinusoidal wave is described by the wave function, y# (0.27 m) sin(0.22x-34t) where x...
11.9
A sinusoidal wave is described by the wave function, y# (0.27 m) sin(0.22x-34t) where x and y are in meters and t is in seconds. Determine the following for this wave (a) the amplitude (b) the angular frequency rad/s (c) the angular wave number rad/m (d) the wavelength 25.56 What is the relationship between the wave number and the wavelength? m e) the wave speed The speed can be calculated from a number of quantities that involve the length...
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9....
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction and amplitude of the electric field, (b) the wave propagation direction, (c) the propagation constant and the wavelength, (d) the frequency and the angular frequency, and (e) the phase velocity.
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction...
Question 3 A wave is described by the function: y = 20 sin (120nt - 3.1...
Question 3 A wave is described by the function: y = 20 sin (120nt - 3.1 (a) What is the maximum amplitude of this wave? (b) What is the linear frequency of this wave? (c) What is the wavelength of this wave? (d) What is the velocity of this wave?
The transverse displacement of an harmonic wave on a stretched rope is y = 0.05 cos(2.9...
The transverse displacement of an harmonic wave on a stretched rope is y = 0.05 cos(2.9 x - 5.8 t), where x and y are in meters and t is in seconds. 1) What is the amplitude of this wave? A = m 2) What is the wavelength of this wave? l = m 3) What is the speed with which this wave travels? |v| = m/s 4) In what direction is this wave propagating? +x -x +y -y +z...
#4 3. Demonstrate that the following equations satisfy the "wave equation." For those that do, find the wa...
#4
3. Demonstrate that the following equations satisfy the "wave equation." For those that do, find the wave amplitude, wave speed, wavenumber, wavelength, angular frequency, and frequency in Hz? Also, denote if the wave is rightward or leftward travelling. c. y(x,t) 6cos(3x+18t) d. y(x,t) -3tan(6x+60t) yx,t) -6cos(67x)cos(80t) e. 4. For the equation given in 3(a), plot the response using a PC as a function of x over at least two full wavelengths at r-0.1 second. On a different plot, show...
A sinusoidal wave is described by the following equation: y(x,t)=9 sin(-9π x+6π t) where x and...
A sinusoidal wave is described by the following equation: y(x,t)=9 sin(-9π x+6π t) where x and y are in meters, and t is in seconds. A. The amplitude. Units: m B. The wavelength. Units: m C. The frequency. Units: Hz D. The maximum transverse velocity. Units: m.s-1
A sound wave traveling through water can be described by the following wave function: (x, t)...
A sound wave traveling through water can be described by the following wave function: (x, t) = A cos (kx - omega t + pi/3) A = 0.040 m k = 1.11 rad/m omega = 1646.195 rad/s rho_water = 1.0 times 10^3 kg/m^3 a) What is the wavelength of this wave? What is the period of this wave? b) What is the amplitude of this wave? What is the phase of the wave when t = 3.0 s and x...
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....
Please solve the whole question
Question 1 (a) Determine if the following functions represent traveling waves? (b) Could either represent a harmonic wave? (c) If possible, determine the velocity of the wave (speed and direction) wavelength, angular frequency and the phase of the wave:() y(xt)-A(x -1) and, (I) E(x,t) = E, cos k(x-ct). (20 pts)
11.9
A sinusoidal wave is described by the wave function, y# (0.27 m) sin(0.22x-34t) where x and y are in meters and t is in seconds. Determine the following for this wave (a) the amplitude (b) the angular frequency rad/s (c) the angular wave number rad/m (d) the wavelength 25.56 What is the relationship between the wave number and the wavelength? m e) the wave speed The speed can be calculated from a number of quantities that involve the length...
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction and amplitude of the electric field, (b) the wave propagation direction, (c) the propagation constant and the wavelength, (d) the frequency and the angular frequency, and (e) the phase velocity.
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction...
Question 3 A wave is described by the function: y = 20 sin (120nt - 3.1 (a) What is the maximum amplitude of this wave? (b) What is the linear frequency of this wave? (c) What is the wavelength of this wave? (d) What is the velocity of this wave?
#4
3. Demonstrate that the following equations satisfy the "wave equation." For those that do, find the wave amplitude, wave speed, wavenumber, wavelength, angular frequency, and frequency in Hz? Also, denote if the wave is rightward or leftward travelling. c. y(x,t) 6cos(3x+18t) d. y(x,t) -3tan(6x+60t) yx,t) -6cos(67x)cos(80t) e. 4. For the equation given in 3(a), plot the response using a PC as a function of x over at least two full wavelengths at r-0.1 second. On a different plot, show...
A sound wave traveling through water can be described by the following wave function: (x, t) = A cos (kx - omega t + pi/3) A = 0.040 m k = 1.11 rad/m omega = 1646.195 rad/s rho_water = 1.0 times 10^3 kg/m^3 a) What is the wavelength of this wave? What is the period of this wave? b) What is the amplitude of this wave? What is the phase of the wave when t = 3.0 s and x...
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