How do I draw a graph for a progressive wave?

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SUMMARY

To draw a graph for a progressive wave, displacement should be plotted on the y-axis and distance from the source of disturbance on the x-axis. The key characteristics of progressive waves include uniform amplitude and period of oscillation, while the phase of oscillations changes with distance from the source. The equation for a progressive wave, typically expressed as y(x, t) = A sin(kx - ωt), is essential for accurately representing the wave's behavior. Understanding this equation is crucial for creating the graph correctly.

PREREQUISITES
  • Understanding of wave properties, including amplitude and period
  • Familiarity with the equation of a progressive wave
  • Basic knowledge of graphing techniques
  • Concept of phase difference in wave mechanics
NEXT STEPS
  • Study the equation of a progressive wave: y(x, t) = A sin(kx - ωt)
  • Learn about wave phase and its impact on wave behavior
  • Explore graphing techniques for trigonometric functions
  • Investigate the relationship between wave properties and their graphical representations
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators and anyone interested in understanding the graphical representation of progressive waves.

Vaseline
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Hi I've been told to draw a graph for a progressive wave, using displacement on the y-axis, and distance from source of disturbance on the x-axis.

I have drawn one for displacement against time, but not sure how to do one for this.

I know that all the points on progressive waves have same amplitude and period of oscillation, but phase of oscillations varies as distance from source varies - but I don't really understand this.
 
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Do you have an equation for a progressive wave (also known as a traveling wave)? It seems that would be necessary in order to have been asked a question like this ... surely your textbook or lecture notes have the equation.
 

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