Question

A wave traveling in a string has a wavelength of 35 cm, an amplitude of 8.4 cm, and a period of 1.2 s. what is the speed of this wave?

Answer 1

The equation will be of the given statement:

y(x,t)  = (0.084)sin(18x - 5.2t)

What is Wavelength?

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.

According to the given information:

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