SlideShare a Scribd company logo
Quick Guide to Understanding the
Relationship between Displacement and
Pressure in Sound Waves
Ϟ Quick facts Ϟ
• The graphs of pressure change and displacement against
(linear) position are out of phase by
𝝅
𝟐
• The pressure change described above is the compression and
expansion of a medium as sound travels through it
• The displacement described above is the displacement of the
particles of the medium (left or right) as the result of the said
compression and expansion
… But wait, why?
Based on a quick guess, it would be superficially
logical that we would think the greatest change
in pressure would be the point with the greatest
displacement, because it would indicate the
greatest amount of movement—therefore
greatest change.
Not quite.
Consider the following series of annotated pictures:
High pressure : lots of particles
crammed into one spot
Low pressure: very few particles in the area
(relative to the high pressure area anyway)
Representation of the particles in a sound wave
Ϟ Recall Ϟ
Sound waves are longitudinal waves
Ϟ Molecules are displaced parallel to the
direction of the wave’s propagation
Particles here at HP
actually came from
A & B
… Which means that particle A’s displacement is +x and B’s displacement is -x at high
pressure (HP). And since HP is right in between the two directions of displacement, the
displacement at HP must equal ZERO. Let’s plot this specific position (the HP point) on
two separate graphs of arbitrary values. Let X1 be the HP point:
A B
… But what about low pressure? How
does displacement relate, then?
A B
The particles at A and B—which are right next to LP—are displacing in opposite
directions: -x for A (left) and +x (right) for B. Displacement at LP then, must be ZERO as
well. Let’s plot these on the previous graph and see what it looks like. Let X2 be LP:
Point of lowest pressure in the wave (LP)
Since both graphs are sinusoidal, it’s time to connect the
dots and really show how the graphs of displacement and
pressure change versus position are out of phase with each
other, like so:
Where displacement is 0, pressure change is at its maximum or minimum, much like two
cosine (or sine) graphs with a phase difference of
𝜋
2
.
… But perhaps you might be wondering, “How do you know which the
displacement graph is going? Why can’t it be the other way around?”
As in: Why instead of ?
This is because as you go from high pressure (x1) to low pressure (x2), the
particles in that section are displaced in the negative direction, not the positive
direction (recall that X1 is HP and X2 LP):
HP LP
This particle is (displaced) from this spot: since the particle moved left,
displacement is -x
Hope that clarifies the concept of how and why
the graphs of pressure change and displacement
are out of phase with each other!
Because I sure was confused at first.
HAPPY STUDYING!
Background courtesy of wallpaperswide.com
Sorry I’m not an artist and couldn’t have made this look
awesome, but I really tried. Here’s a really tiny potato:

More Related Content

What's hot

Surface-Flux_Integrals
Surface-Flux_IntegralsSurface-Flux_Integrals
Surface-Flux_Integrals
Poramate (Tom) Pranayanuntana
 
E-RESOUCE BOOK
E-RESOUCE BOOKE-RESOUCE BOOK
E-RESOUCE BOOK
Vibitha Raj
 
Transformaciones de Coordenadas
Transformaciones de Coordenadas Transformaciones de Coordenadas
Transformaciones de Coordenadas
NorgelisOberto
 
Triangles X CLASS CBSE NCERT
Triangles X CLASS CBSE NCERTTriangles X CLASS CBSE NCERT
Triangles X CLASS CBSE NCERT
avin2611
 
Posiciones de rectas y planos
Posiciones de rectas y planosPosiciones de rectas y planos
Posiciones de rectas y planos
ssuser72b7e1
 
Motion
MotionMotion
Trigonometry Exploration
Trigonometry ExplorationTrigonometry Exploration
Trigonometry Exploration
Janak Singh saud
 
Triangles
Triangles Triangles
Triangles
jatin bisht
 
Best International School Hyderabad
Best International School HyderabadBest International School Hyderabad
Best International School Hyderabad
OpenmindsHyderabad
 
Learning object 2 (parly tan)
Learning object 2 (parly tan)Learning object 2 (parly tan)
Learning object 2 (parly tan)
Parly Tan
 
11X1 T13 04 converse theorems (2010)
11X1 T13 04 converse theorems (2010)11X1 T13 04 converse theorems (2010)
11X1 T13 04 converse theorems (2010)
Nigel Simmons
 
Trigonometry Exploration
Trigonometry ExplorationTrigonometry Exploration
Trigonometry Exploration
Janak Singh saud
 
Sine and Cosine Curves- Dr. Farhana Shaheen
Sine and Cosine Curves- Dr. Farhana ShaheenSine and Cosine Curves- Dr. Farhana Shaheen
Sine and Cosine Curves- Dr. Farhana Shaheen
Farhana Shaheen
 

What's hot (13)

Surface-Flux_Integrals
Surface-Flux_IntegralsSurface-Flux_Integrals
Surface-Flux_Integrals
 
E-RESOUCE BOOK
E-RESOUCE BOOKE-RESOUCE BOOK
E-RESOUCE BOOK
 
Transformaciones de Coordenadas
Transformaciones de Coordenadas Transformaciones de Coordenadas
Transformaciones de Coordenadas
 
Triangles X CLASS CBSE NCERT
Triangles X CLASS CBSE NCERTTriangles X CLASS CBSE NCERT
Triangles X CLASS CBSE NCERT
 
Posiciones de rectas y planos
Posiciones de rectas y planosPosiciones de rectas y planos
Posiciones de rectas y planos
 
Motion
MotionMotion
Motion
 
Trigonometry Exploration
Trigonometry ExplorationTrigonometry Exploration
Trigonometry Exploration
 
Triangles
Triangles Triangles
Triangles
 
Best International School Hyderabad
Best International School HyderabadBest International School Hyderabad
Best International School Hyderabad
 
Learning object 2 (parly tan)
Learning object 2 (parly tan)Learning object 2 (parly tan)
Learning object 2 (parly tan)
 
11X1 T13 04 converse theorems (2010)
11X1 T13 04 converse theorems (2010)11X1 T13 04 converse theorems (2010)
11X1 T13 04 converse theorems (2010)
 
Trigonometry Exploration
Trigonometry ExplorationTrigonometry Exploration
Trigonometry Exploration
 
Sine and Cosine Curves- Dr. Farhana Shaheen
Sine and Cosine Curves- Dr. Farhana ShaheenSine and Cosine Curves- Dr. Farhana Shaheen
Sine and Cosine Curves- Dr. Farhana Shaheen
 

Viewers also liked

Lecture 05 mechanical waves. transverse waves.
Lecture 05   mechanical waves. transverse waves.Lecture 05   mechanical waves. transverse waves.
Lecture 05 mechanical waves. transverse waves.
Albania Energy Association
 
Lecture 07 sound waves. speed of sound. intensity.
Lecture 07   sound waves. speed of sound. intensity.Lecture 07   sound waves. speed of sound. intensity.
Lecture 07 sound waves. speed of sound. intensity.
Albania Energy Association
 
Longitudinal And Transverse Waves
Longitudinal And Transverse WavesLongitudinal And Transverse Waves
Longitudinal And Transverse Waves
Chris Staines
 
Mechanical Waves
Mechanical WavesMechanical Waves
Mechanical Waves
kleybf
 
Longitudinal and transverse waves
Longitudinal and transverse wavesLongitudinal and transverse waves
Longitudinal and transverse waves
hmsoh
 
Sound Waves
Sound WavesSound Waves
Sound Waves
Bruce Coulter
 
CBSE Class IX Sciense Physics Sound
CBSE Class IX Sciense Physics SoundCBSE Class IX Sciense Physics Sound
CBSE Class IX Sciense Physics Sound
Pranav Ghildiyal
 
Sound Waves
Sound WavesSound Waves
Sound Waves
itutor
 
Acoustic, Sound and Noise Control
Acoustic, Sound and Noise Control Acoustic, Sound and Noise Control
Acoustic, Sound and Noise Control
haroldtaylor1113
 

Viewers also liked (9)

Lecture 05 mechanical waves. transverse waves.
Lecture 05   mechanical waves. transverse waves.Lecture 05   mechanical waves. transverse waves.
Lecture 05 mechanical waves. transverse waves.
 
Lecture 07 sound waves. speed of sound. intensity.
Lecture 07   sound waves. speed of sound. intensity.Lecture 07   sound waves. speed of sound. intensity.
Lecture 07 sound waves. speed of sound. intensity.
 
Longitudinal And Transverse Waves
Longitudinal And Transverse WavesLongitudinal And Transverse Waves
Longitudinal And Transverse Waves
 
Mechanical Waves
Mechanical WavesMechanical Waves
Mechanical Waves
 
Longitudinal and transverse waves
Longitudinal and transverse wavesLongitudinal and transverse waves
Longitudinal and transverse waves
 
Sound Waves
Sound WavesSound Waves
Sound Waves
 
CBSE Class IX Sciense Physics Sound
CBSE Class IX Sciense Physics SoundCBSE Class IX Sciense Physics Sound
CBSE Class IX Sciense Physics Sound
 
Sound Waves
Sound WavesSound Waves
Sound Waves
 
Acoustic, Sound and Noise Control
Acoustic, Sound and Noise Control Acoustic, Sound and Noise Control
Acoustic, Sound and Noise Control
 

Similar to Learning object 1

Scrodinger Cat, Quantum theory, CP Violation and Anti-matter
Scrodinger Cat, Quantum theory, CP Violation and Anti-matterScrodinger Cat, Quantum theory, CP Violation and Anti-matter
Scrodinger Cat, Quantum theory, CP Violation and Anti-matter
Rubens Zimbres, PhD
 
Lecture5.pptx
Lecture5.pptxLecture5.pptx
Lecture5.pptx
FatimaMalazai1
 
Learning object 1 travelling waves
Learning object 1   travelling wavesLearning object 1   travelling waves
Learning object 1 travelling waves
Jodi Wong
 
derivation of Wave equation
derivation of Wave equationderivation of Wave equation
derivation of Wave equation
UCP
 
experimental stress analysis-Chapter 3
experimental stress analysis-Chapter 3experimental stress analysis-Chapter 3
experimental stress analysis-Chapter 3
MAHESH HUDALI
 
Vector and scalar
Vector and scalarVector and scalar
Vector and scalar
Nirmal Rizal
 
Waves
WavesWaves
Principles of Medical Physiology by Sircar
Principles of Medical Physiology by SircarPrinciples of Medical Physiology by Sircar
Principles of Medical Physiology by Sircar
Thieme Medical and Scientific Publishers, India
 
Phase and phase difference LO3
Phase and phase difference LO3Phase and phase difference LO3
Phase and phase difference LO3
Vivian Tsang
 
Diffusion vs drit urrent
Diffusion vs drit urrentDiffusion vs drit urrent
Diffusion vs drit urrent
tnarasimha
 
Oscillation 2017
Oscillation 2017Oscillation 2017
Oscillation 2017
nysa tutorial
 
dSolution The concept of Derivative is at th.pdf
dSolution                     The concept of Derivative is at th.pdfdSolution                     The concept of Derivative is at th.pdf
dSolution The concept of Derivative is at th.pdf
theaksmart2011
 
Forces and Motion (1).pdf
Forces and Motion (1).pdfForces and Motion (1).pdf
Forces and Motion (1).pdf
BalanSK
 
Inside maths : 1 Jaydeep Shah
Inside  maths : 1 Jaydeep ShahInside  maths : 1 Jaydeep Shah
Inside maths : 1 Jaydeep Shah
JAYDEEP SHAH
 
Question 1
Question 1Question 1
Question 1
inner4zn
 
Longitudinal
LongitudinalLongitudinal
Longitudinal
rahmanovic
 
Momentum flux in the electromagnetic field
Momentum flux in the electromagnetic fieldMomentum flux in the electromagnetic field
Momentum flux in the electromagnetic field
Sergio Prats
 
Sound Waves Explained
Sound Waves ExplainedSound Waves Explained
Sound Waves Explained
shikhak12
 
IMPLICIT DIFFERENTIATION AND RELATED RATES
IMPLICIT DIFFERENTIATIONANDRELATED RATESIMPLICIT DIFFERENTIATIONANDRELATED RATES
IMPLICIT DIFFERENTIATION AND RELATED RATES
AkefAfaneh2
 
presentation_physics_9_1483037706_218365.pptx
presentation_physics_9_1483037706_218365.pptxpresentation_physics_9_1483037706_218365.pptx
presentation_physics_9_1483037706_218365.pptx
ASHIRBADDASH9
 

Similar to Learning object 1 (20)

Scrodinger Cat, Quantum theory, CP Violation and Anti-matter
Scrodinger Cat, Quantum theory, CP Violation and Anti-matterScrodinger Cat, Quantum theory, CP Violation and Anti-matter
Scrodinger Cat, Quantum theory, CP Violation and Anti-matter
 
Lecture5.pptx
Lecture5.pptxLecture5.pptx
Lecture5.pptx
 
Learning object 1 travelling waves
Learning object 1   travelling wavesLearning object 1   travelling waves
Learning object 1 travelling waves
 
derivation of Wave equation
derivation of Wave equationderivation of Wave equation
derivation of Wave equation
 
experimental stress analysis-Chapter 3
experimental stress analysis-Chapter 3experimental stress analysis-Chapter 3
experimental stress analysis-Chapter 3
 
Vector and scalar
Vector and scalarVector and scalar
Vector and scalar
 
Waves
WavesWaves
Waves
 
Principles of Medical Physiology by Sircar
Principles of Medical Physiology by SircarPrinciples of Medical Physiology by Sircar
Principles of Medical Physiology by Sircar
 
Phase and phase difference LO3
Phase and phase difference LO3Phase and phase difference LO3
Phase and phase difference LO3
 
Diffusion vs drit urrent
Diffusion vs drit urrentDiffusion vs drit urrent
Diffusion vs drit urrent
 
Oscillation 2017
Oscillation 2017Oscillation 2017
Oscillation 2017
 
dSolution The concept of Derivative is at th.pdf
dSolution                     The concept of Derivative is at th.pdfdSolution                     The concept of Derivative is at th.pdf
dSolution The concept of Derivative is at th.pdf
 
Forces and Motion (1).pdf
Forces and Motion (1).pdfForces and Motion (1).pdf
Forces and Motion (1).pdf
 
Inside maths : 1 Jaydeep Shah
Inside  maths : 1 Jaydeep ShahInside  maths : 1 Jaydeep Shah
Inside maths : 1 Jaydeep Shah
 
Question 1
Question 1Question 1
Question 1
 
Longitudinal
LongitudinalLongitudinal
Longitudinal
 
Momentum flux in the electromagnetic field
Momentum flux in the electromagnetic fieldMomentum flux in the electromagnetic field
Momentum flux in the electromagnetic field
 
Sound Waves Explained
Sound Waves ExplainedSound Waves Explained
Sound Waves Explained
 
IMPLICIT DIFFERENTIATION AND RELATED RATES
IMPLICIT DIFFERENTIATIONANDRELATED RATESIMPLICIT DIFFERENTIATIONANDRELATED RATES
IMPLICIT DIFFERENTIATION AND RELATED RATES
 
presentation_physics_9_1483037706_218365.pptx
presentation_physics_9_1483037706_218365.pptxpresentation_physics_9_1483037706_218365.pptx
presentation_physics_9_1483037706_218365.pptx
 

Recently uploaded

বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdfবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
eBook.com.bd (প্রয়োজনীয় বাংলা বই)
 
Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments UnitDigital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit
chanes7
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
amberjdewit93
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
Priyankaranawat4
 
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
RitikBhardwaj56
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
Priyankaranawat4
 
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
PECB
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
Nicholas Montgomery
 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
GeorgeMilliken2
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Akanksha trivedi rama nursing college kanpur.
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
taiba qazi
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
Celine George
 
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
RAHUL
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
TechSoup
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Academy of Science of South Africa
 
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRMHow to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Celine George
 
The History of Stoke Newington Street Names
The History of Stoke Newington Street NamesThe History of Stoke Newington Street Names
The History of Stoke Newington Street Names
History of Stoke Newington
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
Dr. Mulla Adam Ali
 
BBR 2024 Summer Sessions Interview Training
BBR  2024 Summer Sessions Interview TrainingBBR  2024 Summer Sessions Interview Training
BBR 2024 Summer Sessions Interview Training
Katrina Pritchard
 
How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17
Celine George
 

Recently uploaded (20)

বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdfবাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
 
Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments UnitDigital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
 
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
 
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
 
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
 
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRMHow to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
 
The History of Stoke Newington Street Names
The History of Stoke Newington Street NamesThe History of Stoke Newington Street Names
The History of Stoke Newington Street Names
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
 
BBR 2024 Summer Sessions Interview Training
BBR  2024 Summer Sessions Interview TrainingBBR  2024 Summer Sessions Interview Training
BBR 2024 Summer Sessions Interview Training
 
How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17
 

Learning object 1

  • 1. Quick Guide to Understanding the Relationship between Displacement and Pressure in Sound Waves Ϟ Quick facts Ϟ • The graphs of pressure change and displacement against (linear) position are out of phase by 𝝅 𝟐 • The pressure change described above is the compression and expansion of a medium as sound travels through it • The displacement described above is the displacement of the particles of the medium (left or right) as the result of the said compression and expansion
  • 2. … But wait, why? Based on a quick guess, it would be superficially logical that we would think the greatest change in pressure would be the point with the greatest displacement, because it would indicate the greatest amount of movement—therefore greatest change.
  • 3. Not quite. Consider the following series of annotated pictures: High pressure : lots of particles crammed into one spot Low pressure: very few particles in the area (relative to the high pressure area anyway) Representation of the particles in a sound wave Ϟ Recall Ϟ Sound waves are longitudinal waves Ϟ Molecules are displaced parallel to the direction of the wave’s propagation
  • 4. Particles here at HP actually came from A & B … Which means that particle A’s displacement is +x and B’s displacement is -x at high pressure (HP). And since HP is right in between the two directions of displacement, the displacement at HP must equal ZERO. Let’s plot this specific position (the HP point) on two separate graphs of arbitrary values. Let X1 be the HP point: A B
  • 5. … But what about low pressure? How does displacement relate, then? A B The particles at A and B—which are right next to LP—are displacing in opposite directions: -x for A (left) and +x (right) for B. Displacement at LP then, must be ZERO as well. Let’s plot these on the previous graph and see what it looks like. Let X2 be LP: Point of lowest pressure in the wave (LP)
  • 6. Since both graphs are sinusoidal, it’s time to connect the dots and really show how the graphs of displacement and pressure change versus position are out of phase with each other, like so: Where displacement is 0, pressure change is at its maximum or minimum, much like two cosine (or sine) graphs with a phase difference of 𝜋 2 .
  • 7. … But perhaps you might be wondering, “How do you know which the displacement graph is going? Why can’t it be the other way around?” As in: Why instead of ? This is because as you go from high pressure (x1) to low pressure (x2), the particles in that section are displaced in the negative direction, not the positive direction (recall that X1 is HP and X2 LP): HP LP This particle is (displaced) from this spot: since the particle moved left, displacement is -x
  • 8. Hope that clarifies the concept of how and why the graphs of pressure change and displacement are out of phase with each other! Because I sure was confused at first. HAPPY STUDYING! Background courtesy of wallpaperswide.com Sorry I’m not an artist and couldn’t have made this look awesome, but I really tried. Here’s a really tiny potato: