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Q9: Calculate approximately how long it took to run the scan for this part (in hours), based on the code provided. How long would it take if you averaged 64 times

for each position (in hours)? Q10: What is the ratio of the spatial step size to the acoustic wavelength (where sound speed c = f, where c is the sound speed in air (343 m/s), λ is the acoustic wavelength, and f is the frequency. Does it satisfy the Nyquist sampling frequency? (The Nyquist theorem also applies to the spatial resolution where you need to sample two points along a period in the spatial domain) Part III: Technical writing Questions: Q11: This question pertains to WLO2. Main task: Be sure the figures from Q2, Q4, Q6, Q7, and Q8 satisfy the WLO2 dimensions, including having a descriptive caption. Purpose: to gain practice presenting data visually in an accessible and information dense manner. Q12: This question pertains to WLO3. Main task: Write an introduction (including a couple references) that follows the WLO3 dimensions. This introduction should explain the motivation behind the experiment you are conducting and the physics you seek to explore. (Make sure to follow the points included in the Writing Learning Objectives document thoroughly.) 10 Q13: This question pertains to WLO1. Main task: Write a results section (observations) followed by a discussion section (interpretations) that describes the data contained in the figure you created as part of, at least, [Q4 or Q6] and Q7. The results section should also describe how the data was collected, and reference a figure containing a schematic that you will create detailing your experimental setup (that should satisfy WLO2). Purpose: To gain experience with making observations and providing supported interpretations of experimental data./nQ4: Create a plot that describes the time delay of the sound pulse arrival for points along the scanning x-axis, where position (in meters) is on the x-axis of your plot and time (in seconds) is on the y-axis of your plot. • Add error bars to your plot in both x- and y- directions. You may use the matlab command errorbar(x,y.yneg.ypos.xneg.xpos). Note that the yneg, ypos, xneg, and xpos arguments are vectors. Consider what would make a decent quantification of error for both axes in your plot, and explain your rationale. Overlay the plot with a line corresponding to the sound speed in air Overlay a line of best fit, and use the slope to extract the experimentally determined sound speed (report the experimentally determined speed) Q5. Compare the distance between the prescribed and measured distance moved by the scanning stage. What might cause any differences? Discuss the difference between a stepper motor (what we are using) and a servomotor. How might a servomotor increase confidence in our measurements? In addition, suggest a method, perhaps using concepts explored in prior labs, to significantly reduce the positioning uncertainty. Q6: Use the pcolor command in matlab to create a plot that shows position along the scanning x-axis for the plot's x-axis, time as the y-axis, and color corresponds to the normalized amplitude of the signal. The amplitude should be normalized so that the data for each x position is divided by its absolute maximum amplitude. Include a color scale bar by using the colorbar command. You will also want to use the shading flat command; You can format the colorbar by using the following code: c = colorbar set(c,'FontSize', 20); Overlay the plot with a line corresponding to the sound speed in air, c = 340 m/s (you can use the command hold on and make a second plot). Q7: Use the pcolor command again to create a plot that shows the sound field at a time t = 2 ms. In this case, the x- and y-axes of your plot will correspond to the scanning system's x- and y-axes. Color scale bars should again be included. Q8: Use the following script to create an animated gif where a similar plot as you just created in Q7 is animated such that each frame corresponds to each sequential time step in t_pcolor. This will allow you to fully visualize the spatiotemporal sound field generated by the speaker. Color scale bars should again be included. Note that the color bar range is fixed in the script below using the caxis command. Upload this gif animation as a separate file with your assignment.

Fig: 1

Fig: 2