Why Wasn't (0,-3) Included in the Initial Graph of a Traveling Sinusoidal Wave?

In summary, a traveling sinusoidal wave is a type of wave that moves smoothly and regularly through a medium, with a repeating pattern of crests and troughs resembling a sinusoidal curve. Its wavelength is determined by the distance between two consecutive points in phase, and its speed is affected by the properties of the medium, frequency, and wavelength. These waves can change direction when encountering a change in the medium's properties and can be observed in various real-life examples such as sound, light, and ocean waves, as well as earthquakes and electromagnetic radiation.
  • #1
ChiralSuperfields
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Homework Statement
Please see below
Relevant Equations
y = Asin(kx - ωt)
For part(a) of this problem,
1670534765621.png

The solution is,
1670534878264.png

However, why did they not have a point at (x,y) = (0, -3) initially? Also why did they not do a y against time graph?Many thanks!
 

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  • #2
Callumnc1 said:
why did they not have a point at (x,y) = (0, -3) initially?
You sure they don't ?

1670535884436.png

##\ ##
 
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  • #3
Callumnc1 said:
Homework Statement:: Please see below
Relevant Equations:: y = Asin(kx - ωt)

However, why did they not have a point at (x,y) = (0, -3) initially?
Your question is meaningless without units. See query by @BvU.
 
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  • #4
Sorry @kuruman and @BvU, I see my mistake.

Kind regards,
Callum
 
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1. What is a traveling sinusoidal wave?

A traveling sinusoidal wave is a type of wave that propagates through a medium, such as air or water, in a repeating pattern of crests and troughs. It is characterized by its amplitude, wavelength, and frequency.

2. How is a traveling sinusoidal wave different from other types of waves?

A traveling sinusoidal wave is unique in that it exhibits a smooth and continuous oscillation, unlike other types of waves such as transverse or longitudinal waves which have a more abrupt motion. It also has a specific mathematical relationship between its amplitude, wavelength, and frequency.

3. What are some real-life examples of traveling sinusoidal waves?

Some common examples of traveling sinusoidal waves include sound waves, water waves, and electromagnetic waves such as light and radio waves. These types of waves can be observed in everyday phenomena such as music, ocean waves, and the transmission of radio and television signals.

4. How is the speed of a traveling sinusoidal wave determined?

The speed of a traveling sinusoidal wave is determined by the medium through which it is traveling. In a uniform medium, the speed is directly proportional to the wavelength and frequency of the wave. This relationship is described by the equation v = fλ, where v is the speed, f is the frequency, and λ is the wavelength.

5. Can traveling sinusoidal waves interfere with each other?

Yes, traveling sinusoidal waves can interfere with each other when they meet. Depending on the phase relationship between the two waves, interference can result in constructive interference, where the amplitudes of the waves add together, or destructive interference, where the amplitudes cancel each other out.

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