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Sagot :
(a) The speed and direction of travel of the wave is 7 m/s positive x-direction.
(b) The vertical position of an element of the string at t = 0, x = 0.178 m is -3.1 m
(c) The wavelength of the wave is 2 m
(d) The frequency of the wave is 7 Hz
(e) The maximum transverse speed of an element of the string is 16.48 m/s.
The wave function
The general function of the wave is:
y (x, t) A sin (kx - ωt)
We have, y(x, t) = 0.375 sin (14[tex]\pi[/tex]t - 2[tex]\pi[/tex]x + [tex]\pi[/tex]/4)
So,
a. the speed and direction of travel of the wave:
v = ω/k
= 14/2
= 7 m/s ⇒ positive x-direction
b. The vertical position of an element of the string at t = 0, x = 0.178 m
y = 0.375 sin (-2[tex]\pi[/tex]x/14 + [tex]\pi[/tex]/4)
= -3.1 m
c. The wavelength of the wave:
λ = 4/2
= 2 m
d. The frequency of the wave
f = ω/2
= 14/2
= 7 Hz
e. The maximum transverse speed of an element of the string:
ωA
= 14π (0.375)
= 16.48 m/s
Learn more about wave function here: https://brainly.com/question/28447252
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