The equation will be of the given statement:
y(x,t) = (0.084)sin(18x - 5.2t)
<h3>What is Wavelength?</h3>
The distance a wave travels from one crest to another or from one trough to another is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave). The peak of the wave is called the crest, while the trough is its base.
<h3>According to the given information:</h3>
wavelength = 35cm = .35m
amplitude A = 8.4 cm
Time = 1.2s
The speed of this wave:
In the positive x direction, the wave is moving in a string. For these circumstances, we must write the wave equation.
When the wave is moving in the +x direction, the following general equation describes it:
Y = Asin( kx - wt )
A is amplitude
k is propagation constant
k = 2π/λ
k = 2π/0.35
k = 17.95 = 18m^-1
ω is angular frequency
ω = 2π/T
ω = 2π/1.2
ω = 5.23s^-1
The equation will be:
y(x,t) = (0.084)sin(18x - 5.2t)
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I understand that the question you are looking for is:
A wave traveling in a string in the positive x direction has a wavelength of 35 cm, an amplitude of 8.4 cm, and a period of 1.2 s. What is the wave equation (in base SI units) that correctly describes this wave
