Need help in understanding phase angle/difference in A level physics.

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SUMMARY

This discussion focuses on understanding phase angle differences in wave graphs, specifically for AS level physics students. The user seeks clarity on how to accurately represent a phase angle difference of 60 degrees, which corresponds to a shift of π/3 radians or 1/6 of a wavelength. The conversation highlights that a phase shift results in a translation of the wave graph, with a specific example indicating that a wavelength of 3 units leads to a leftward shift of 0.5 units for the lagging wave T2. The explanation emphasizes the connection between phase angles and graph translation, making it accessible for learners.

PREREQUISITES
  • Understanding of sine graphs and their properties
  • Familiarity with radians and degrees conversion
  • Basic knowledge of wave properties and terminology
  • Ability to interpret and manipulate mathematical graphs
NEXT STEPS
  • Study the concept of wave phase shifts in detail
  • Practice drawing wave graphs with varying phase angles
  • Learn about the mathematical representation of wave functions
  • Explore past paper questions related to wave mechanics and phase differences
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AS level physics students, educators teaching wave mechanics, and anyone seeking to understand the graphical representation of phase angles in waves.

mutineer123
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I understand what a phase angle/difference is, but when it comes to applying them in questions (from past papers) my mind draws a blank. Can anyone here in simple terms, explain how can I draw let's say a phase angle difference 'precisely' of a wave in a graph?

Additional details : I am in AS level right now, so please go easy on any advanced mathematics. And just as a heads up: We have just learned a sine graph in math as well as radians( so I know a whole wavelength is 2∏.)
 
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mutineer123 said:
I understand what a phase angle/difference is, but when it comes to applying them in questions (from past papers) my mind draws a blank. Can anyone here in simple terms, explain how can I draw let's say a phase angle difference 'precisely' of a wave in a graph?

Additional details : I am in AS level right now, so please go easy on any advanced mathematics. And just as a heads up: We have just learned a sine graph in math as well as radians( so I know a whole wavelength is 2∏.)

I Just came across a question, which I think will help explain my doubt better

http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_w02_qp_2.pdf

here in question 5 it says " draw the variation with time t of the displacement x of the point in wave T2" So see, while I know phase angle of 60° means T2 lags behind T1 by 60( less than ∏/2 or 90°), I have no idea how to draw it.
.
 
The phase of a transverse wave is how far it has been translated or shifted. Think back to algebra when we translated graphs of lines by adding and subtracting numbers.

In this case, a phase of 60 degrees results in a shift of ∏/3 radians or 1/6 of a wavelength, being that one wavelength = 2∏ = 360 degrees. If the wavelength of this graph is 3 units then it will be shifted by .5 units to the left (T2 drags behind T1)
 
elliott said:
The phase of a transverse wave is how far it has been translated or shifted. Think back to algebra when we translated graphs of lines by adding and subtracting numbers.

In this case, a phase of 60 degrees results in a shift of ∏/3 radians or 1/6 of a wavelength, being that one wavelength = 2∏ = 360 degrees. If the wavelength of this graph is 3 units then it will be shifted by .5 units to the left (T2 drags behind T1)

Thank you elliott, no one really explained it before with translation..it was very helpful :)
 
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