How is this the same as this? (two kinds of waves)

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How is this the same as this?
1694286058602.png
 
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  • #2
I only see ##\ddot y +y =0.## What do you mean?
 
  • #3
They aren't the same.

Perhaps you could add some context to the question.
 
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  • #4
What are we comparing? There is one kind of this on the left hand side and two kinds of thises on the right hand side. This goes to show that we need more information on this.
 
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  • #5
Imagine a large surface of water. Now imagine that this water is waving in one direction. At every point on the surface of the water, the waves are moving in the same direction. If you were to look at the surface of this water from the side (perpendicularly to the direction of wave motion), you would find that the surface looks like your image on the left.

Now move your perspective so that you are looking at the same surface of water from above. It's a nice sunny day, and the sunlight reflects off of the top of the waves, while casting a shadow in the troughs. This is essentially what you are seeing on the left side of the right image. The purple spots are the crests of waves, while the dark spots are troughs.

In short, they both represent similar waves, but from different perspectives--one from the side, and one from above. Hope this helps!
 
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  • #6
Ahhh, yes that makes a lot of sense now thanks!
 
  • #7
physicsmaster123 said:
Ahhh, yes that makes a lot of sense now thanks!
No problem. Glad I could help!
 
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  • #8
The "science master" helps the "physics master", I see!
 
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Related to How is this the same as this? (two kinds of waves)

How are electromagnetic waves and mechanical waves similar?

Both electromagnetic waves and mechanical waves transfer energy through a medium or space. They can be described by similar properties such as wavelength, frequency, amplitude, and speed. Both types of waves also exhibit behaviors such as reflection, refraction, diffraction, and interference.

How are sound waves and light waves similar?

Sound waves and light waves both travel in a wave-like pattern and can be characterized by their wavelength, frequency, and amplitude. They both can reflect off surfaces, refract through different media, and diffract around obstacles. Additionally, both types of waves can interfere with each other, creating patterns of constructive and destructive interference.

How are transverse waves and longitudinal waves similar?

Transverse waves and longitudinal waves both transfer energy through a medium. They both have measurable properties such as wavelength, frequency, and speed. Additionally, both types of waves can be described mathematically by similar wave equations, and they exhibit phenomena such as reflection and refraction.

How are water waves and seismic waves similar?

Water waves and seismic waves both involve the movement of particles in a medium, whether it be water or the Earth's crust. They can be either transverse or longitudinal in nature and share properties like wavelength, frequency, and amplitude. Both types of waves can cause significant energy transfer and can be analyzed using similar principles of wave mechanics.

How are radio waves and microwaves similar?

Radio waves and microwaves are both types of electromagnetic waves, meaning they do not require a medium to travel and can propagate through a vacuum. They both travel at the speed of light and can be described by their wavelength and frequency. Additionally, both types of waves can be used for communication purposes and can be reflected, refracted, and diffracted.

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