High School Solving Confusion with Waves in Physics

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SUMMARY

This discussion clarifies key concepts in wave physics, specifically differentiating between mechanical and electromagnetic waves. Mechanical waves are categorized into transverse and longitudinal waves, with transverse waves exhibiting nodes and antinodes, while longitudinal waves feature compressions and rarefactions. The conversation also distinguishes between standing waves and progressive (traveling) waves, emphasizing that standing waves can occur in open pipes due to wave reflection. Additionally, harmonics are identified as standing waves with increasing nodes and antinodes.

PREREQUISITES
  • Understanding of wave mechanics, including definitions of waves and their properties.
  • Familiarity with mechanical waves, specifically transverse and longitudinal types.
  • Knowledge of wave patterns, including standing and progressive waves.
  • Basic concepts of harmonics in relation to wave behavior.
NEXT STEPS
  • Study the relationship between harmonics and standing waves in greater detail.
  • Explore the principles of wave reflection in open and closed pipes.
  • Investigate the mathematical representation of wave displacement over time.
  • Learn about the practical applications of standing waves in musical instruments.
USEFUL FOR

Students of physics, educators teaching wave mechanics, and anyone interested in the principles of sound and wave behavior in various mediums.

ashsully
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Hi everyone.
I'm currently studying waves in physics at the moment but I'm super confused and hoping someone could help me clear up some things. Firstly I'll post what I think it correct (I know it's wrong) and hopefully someone could pick up exactly where I am getting confused.

Waves are a periodic motion which flows from one place to another along a medium or empty space.
Waves have two categories:
1) Mechanical (requires a medium)
2) Electromagnetic (does not require a medium)

1) Mechanical waves have two subcategories depending on what direction the particles are displaced reference to the direction of energy transport.
i) Transverse Waves: Particles are displaced perpindicular to the direction of energy of transport.
ii) Longitudinal Waves: Particles are displaced parallel to the direction of energy of transport.

I can understand transverse and longitudinal wave examples. We got introduced to nodes & antinodes and I get the definitions of each and the difference between their respective displacements but this is the area where I'm getting confused. Do all transverse waves have antinodes and nodes?
I know that longitudinal waves have crests and troughs (compressions and rarefactions) so does that mean transverse waves have nodes and antinodes?

Now I'm also getting confused with progressive and standing waves.
From what I've read, I've heard that these are types of wave PATTERNS and not waves themselves. If so how would you know if you're going to experience a standing wave or a progressive wave in an object?
We are currently doing pipes (Open & Closed) and Strings. But I'm confused why an open pipe column will have standing waves when it's open on both ends. Shouldn't the wave just continue from one end of the pipe to the other in an uninterrupted fashion?
Also, Is a progressive wave also known as a traveling wave?

Sorry for the essay, but I really can't wrap my head around it.
Thanks in advance,
Ash
 
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ashsully said:
Hi everyone.
I'm currently studying waves in physics at the moment but I'm super confused and hoping someone could help me clear up some things. Firstly I'll post what I think it correct (I know it's wrong) and hopefully someone could pick up exactly where I am getting confused.

Waves are a periodic motion which flows from one place to another along a medium or empty space.
Waves have two categories:
1) Mechanical (requires a medium)
2) Electromagnetic (does not require a medium)

1) Mechanical waves have two subcategories depending on what direction the particles are displaced reference to the direction of energy transport.
i) Transverse Waves: Particles are displaced perpindicular to the direction of energy of transport.
ii) Longitudinal Waves: Particles are displaced parallel to the direction of energy of transport.

I can understand transverse and longitudinal wave examples. We got introduced to nodes & antinodes and I get the definitions of each and the difference between their respective displacements but this is the area where I'm getting confused. Do all transverse waves have antinodes and nodes?
I know that longitudinal waves have crests and troughs (compressions and rarefactions) so does that mean transverse waves have nodes and antinodes?
Nodes and antinodes are characteristics of standing waves only.
The antinode is where the value changes lots and the node is where it remains the same.

Now I'm also getting confused with progressive and standing waves.
From what I've read, I've heard that these are types of wave PATTERNS and not waves themselves. If so how would you know if you're going to experience a standing wave or a progressive wave in an object?
"Progressive" means "travelling".
To work out if you have a standing or progressive wave, you need to measure the displacement (say) wrt time for at least two places and look at the relationship.
i.e. if you have two toy boats tethered to two pylons at the warf ... and you see one boat bob up then down and right after that the next boat does the same - a ravelling wave probably just passed by... however if the boats go up and down in unison, just to different max heights, then they are on a standing wave.

We are currently doing pipes (Open & Closed) and Strings. But I'm confused why an open pipe column will have standing waves when it's open on both ends. Shouldn't the wave just continue from one end of the pipe to the other in an uninterrupted fashion?
That's one solution: where the air just blows in one end and out the other ... but, in that case, there were no oscillations to start with.

You can blow across the end of a pipe and get a noise even though both ends are open.
A flute is also a tube open at each end - there is a reed a short way inside that makes the oscillations.
Basically - the wave reflects off the sudden change in pressure at the ends of the pipe... some of the wave does escape.

Also, Is a progressive wave also known as a traveling wave?
Yes. And a standing wave is also known as a stationary wave.
 
Thanks for the reply!
You've cleared up 99% of my confusion, I just got 1 more question.

If you pluck a guitar string, it has it's fundamental frequency, with respective harmonics following it.
As a guitar string has nodes and anti-nodes, what is the relationship between harmonics and standing waves?
Is there a relationship?
I understand that there would be more nodes and antinodes when you increase up in harmonics (e.g., 3rd harmonic, 4th harmonic, 5th harmonic etc). But is a harmonic a standing wave or shouldn't you make a correlation between the two?

Cheers
 
Harmonics and standing waves are the same thing.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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