Graph of a sinusoidal wave at a fixed position

AI Thread Summary
The discussion centers on graphing a sinusoidal 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 a time interval from 0 to 4 ms. Participants clarify that substituting y=1.00 m into the equation is necessary for the entire time interval. One user expresses confusion about obtaining correct graph points, realizing they overlooked intermediate points between ticks. The conversation emphasizes the importance of accurately calculating and plotting these intermediate values to achieve the correct graph. Overall, understanding the fixed position and proper point calculation is crucial for accurately representing the wave's displacement over time.
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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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