1. The equation of certain traveling waves is y(x,t) = 0.0450 sin(25.12x - 37.68t - 0.523) where x and y are in meters, and tin seconds. Determine the following: (a) Amplitude, (b) wave number, (c) wavelength, (d) angular frequency, (e) frequency, (f) phase angle, (8) the wave propagation speed, (h) the expression for the medium's particles velocity as the waves pass by them, and (i) the velocity of a particle that is at x= 3.50m from the origin at t= 21.0s.
1. The equation of certain traveling waves is y(x,t) = 0.0450 sin(25.12x - 37.68t - 0.523) where x and y are in meters, and tin seconds. Determine the following: (a) Amplitude, (b) wave number, (c) wavelength, (d) angular frequency, (e) frequency, (f) phase angle, (8) the wave propagation speed, (h) the expression for the medium's particles velocity as the waves pass by them, and (i) the velocity of a particle that is at x= 3.50m from the origin at t= 21.0s.
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Assignment Hand in date- By 17/3/2021
1. The equation of certain traveling waves is y(x,t) = 0.0450 sin(25.12x - 37.68t - 0.523)
where x and y are in meters, and tin seconds. Determine the following:
(a) Amplitude,
(b) wave number,
(c) wavelength,
(d) angular frequency,
(e) frequency,
(f) phase angle,
(g) the wave propagation speed,
(h) the expression for the medium's particles velocity as the waves pass by them, and
(i) the velocity of a particle that is at x= 3.50m from the origin at t= 21.0s.
2. A transverse sinusoidal wave is generated at one end of a long horizontal string by a bar
which moves the end up and down through a distance of 0.5cm. The motion is continuous
and is repeated continuously 150 times per second.
a) If the string has a linear density of 0.25 kg.m and is kept under a tension of 90N, determine
the
speed
ii) Amplitude
ii)
i)
Frequency and
iv) Wavelength of the wave in motion.
b) Assuming the wave motion is in the -x direction and that at t=0, the end of the string
described by x-0 is in its equilibrium position y=0, write the equation of the wave.
c) Determine the velocity and acceleration of a particle 62cm from the end
3. A guitar string 66 cm long vibrates with a standing wave that has three antinodes. (a) Which
harmonic is this? (b) What is the wavelength of this wave?
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