The equation yı = 10- sin(6.6t - 0.2x) represents a plane wave travelling in a medium along the x-direction, y being the displacement at the point x at time t, both expressed in centimeters and t in milliseconds. (a.) In which direction is the wave moving? Explain. (b.) Determine the amplitude, wavelength and frequency of the wave. (c.) Calculate the speed of the wave and the maximum speed of a particle of the medium due to the wave. V, is later reflected at a boundary along its path and the reflected wave is denoted y2. (d.) Write down a similar sinusoidal expression for y,. The superposition of y, and y2 produces a new wave y3. (e.) State the nature of y3. (f.) State any three differences between y, and y,. (g.) Determine the maximum and minimum amplitudes of vibration of y3

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Answer Exercise 9 (d), (e), (f) and (g)

Exercise 9
The equation yı = 10- sin(6.6t - 0.2x) represents a plane wave travelling in a medium along the
x-direction, y being the displacement at the point x at time t, both expressed in centimeters andt in
milliseconds.
(a.) In which direction is the wave moving? Explain.
(b.) Determine the amplitude, wavelength and frequency of the wave.
(c.) Calculate the speed of the wave and the maximum speed of a particle of the medium due to the
wave.
Va is later reflected at a boundary along its path and the reflected wave is denoted y,.
(d.) Write down a similar sinusoidal expression for y,.
The superposition of y, and y2 produces a new wave ya.
(e.) State the nature of y3.
(f.) State any three differences between y, and ya.
(e.) Determine the maximum and minimum amplitudes of vibration of va.
Transcribed Image Text:Exercise 9 The equation yı = 10- sin(6.6t - 0.2x) represents a plane wave travelling in a medium along the x-direction, y being the displacement at the point x at time t, both expressed in centimeters andt in milliseconds. (a.) In which direction is the wave moving? Explain. (b.) Determine the amplitude, wavelength and frequency of the wave. (c.) Calculate the speed of the wave and the maximum speed of a particle of the medium due to the wave. Va is later reflected at a boundary along its path and the reflected wave is denoted y,. (d.) Write down a similar sinusoidal expression for y,. The superposition of y, and y2 produces a new wave ya. (e.) State the nature of y3. (f.) State any three differences between y, and ya. (e.) Determine the maximum and minimum amplitudes of vibration of va.
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