How do I draw a displacement-distance graph for waves?

[LXX]

I really need help with drawing displacement-distance graph for waves. The question is in the attached file. It is Q9 c. Thank you very much.

 

[Rellek]

Hey there!

Well, this is a transverse wave and they tell you that no energy is lost or anything like that, and also they give you the apparent velocity of the wave. Perhaps using the definition of velocity will give you the phase shift of this graph after .05 seconds?
$$V = \frac {ds}{dt} \Rightarrow Vt = s$$

 

[LXX]

Hey there!

Well, this is a transverse wave and they tell you that no energy is lost or anything like that, and also they give you the apparent velocity of the wave. Perhaps using the definition of velocity will give you the phase shift of this graph after .05 seconds?
$$V = \frac {ds}{dt} \Rightarrow Vt = s$$

I got 0.60 as the answer, does this indicate that the graph has shifted 0.60m as a result??

 

[Rellek]

I got 0.60 as the answer, does this indicate that the graph has shifted 0.60m as a result??

Yup! Same graph, shifted .6 meters.

 

[HalfLostAndSearching]

I can offer some guidance on how to draw a displacement-distance graph for waves. Firstly, it is important to understand that a displacement-distance graph represents the relationship between the displacement (or height) of a wave and the distance it has traveled.

To begin, you will need to plot the distance on the x-axis and the displacement on the y-axis. The distance should be measured in the same units as the wavelength of the wave, such as meters or centimeters. The displacement can be measured in any units, as long as they are consistent throughout the graph.

Next, consider the direction of the wave. If the wave is traveling in a positive direction, the displacement will increase as the distance increases. This will result in a positively sloped line on the graph. If the wave is traveling in a negative direction, the displacement will decrease as the distance increases, resulting in a negatively sloped line on the graph.

Now, let's look at the attached question (Q9 c). It asks for the displacement-distance graph for a transverse wave traveling to the right. This means that the displacement will increase as the distance increases, resulting in a positively sloped line. The graph should start at the origin (0,0) and increase in a straight line to the right.

Finally, it is important to label your axes and include a title for your graph. This will make it clear what the graph represents and make it easier for others to interpret.

I hope this helps with drawing your displacement-distance graph for waves. Remember to carefully consider the direction of the wave and label your graph correctly. Good luck!