Explanation:
The displacement of the sinusoidal wave traveling in the x direction is given by;
y(x,t)=Asin(kx−ωt)
Where
A is the amplitude of wave in meters
k is the propagation constant of the wave given by k = 2π/λ
ω [tex] =\frac{2\pi }{T}[/tex] is the angular frequency in radian per seconds
T is the period in seconds [tex]T = \frac{2\pi }{w}[/tex]
(a) The independent variables are x and t
(b) Parameters that determine the characteristics of the wave are amplitude A, propagation constant k and angular frequency ω
(c) The phase phi(x,t) of the wave is (kx−ωt)
(d) The wavelength λ of the wave λ = 2π/k
(e) The period T of the wave is [tex]T =\frac{2\pi }{w}[/tex]
(f) The speed of propagation v of the wave;
wave velocity v = fλ
v = (ω/2π) × (2π/k)
[tex]v =\frac{w}{k}[/tex]
The speed of propagation v of the wave is [tex]v =\frac{w}{k}[/tex]
The displacement of the sinusoidal wave traveling in the x direction is y(x,t)=Asin(kx−ωt).
This is defined as a propagation of disturbances from place to place in a regular and organized way.
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