Converting a Longitudinal Wave Displacement-Time Graph into a Distance Graph

[yipkawa]

how to turn a 'longitudinal wave ' displacement-time graph into a displacement-distance graph

 

[Andrew Mason]

how to turn a 'longitudinal wave ' displacement-time graph into a displacement-distance graph

The solution for a traveling wave is:

[tex]y(x,t) = Asin(\frac{2\pi}{\lambda}x - \omega t)[/tex]

To turn it into a displacement distance graph, just plot y as a function of x, keeping t constant.

AM

 

[kyle8921]

To convert a longitudinal wave displacement-time graph into a displacement-distance graph, you will need to use the formula: distance = velocity x time. This formula represents the relationship between displacement and distance, where velocity is the speed of the wave and time is the duration of the wave.

First, you will need to determine the velocity of the wave from the displacement-time graph. This can be done by calculating the slope of the graph, which represents the speed of the wave. The steeper the slope, the faster the wave is traveling.

Next, you will need to determine the time interval for the wave. This can be done by looking at the time axis of the graph and identifying the start and end points of the wave.

Once you have the velocity and time interval, you can use the formula to calculate the distance traveled by the wave at each time point. This will give you a series of data points that can be plotted on a displacement-distance graph.

Finally, connect the data points to create a curve on the graph. This curve represents the displacement of the wave at different distances from its source.

It is important to note that this conversion assumes that the wave is traveling at a constant velocity. In reality, the velocity of a wave may change over time, so this method may not be entirely accurate. However, it can provide a general representation of the displacement-distance relationship for a longitudinal wave.