Graph of a sinusoidal wave at a fixed position

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SUMMARY

The discussion centers on graphing the displacement of a sound wave described by the equation D(y,t) = (0.02mm)sin[(8.96 rad/m)y + (3140 rad/s)t + pi/4 rad] at a fixed position of y = 1.00 m over the time interval from 0 to 4 ms. Participants clarify that substituting y = 1.00 m into the equation is essential for generating the correct graph. The confusion arises from not calculating intermediate points between the ticks on the graph, which is crucial for accuracy. Ultimately, the correct approach involves evaluating the sine function at multiple time intervals to capture the wave's behavior accurately.

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Homework Statement



A sound wave is described by D(y,t) = (0.02mm)sin[(8.96 rad/m)y + (3140 rad/s)t + pi/4 rad)], where y is in metres, and t is in seconds.

Draw a displacement-versus-time graph D(y=1.00m,t) at y= 1.00 m from t= 0 s and t= 4 ms.

Homework Equations



D(y,t) = (0.02mm)sin[(8.96 rad/m)y + (3140 rad/s)t + pi/4 rad)]

The Attempt at a Solution



I tried doing the graph (see figure attached), but apparently it's wrong. By 'fixed' position, it means that I must plug in 1.00 m into y for the entire time interval (0 to 4ms), correct? If that's the case, then all the points on the graph should be right. Can someone explain what I'm doing incorrectly?
 

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  • Sinusoidal Wave.jpg
    Sinusoidal Wave.jpg
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Ah, my bad. I jumped the gun and skipped the points in between each tick.
 
I got the same graph as you did. How did you figure out how to get the points in between the points you already have on your graph? Because when I plug in y=1 into the equation, I don't get the right answer.
 

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