This problem is to be completed individually. Complete this problem before working on Part B.

Model-Eliciting & Exploration Activity Nano Roughness – Homework Part A This problem is to be completed individually Complete this problem before working on Part B This is a continuation of the Nano Roughness MEA in which your engineering team developed a procedure to measure surface roughness at the nanoscale from AFM images A profile is a two-dimensional picture of a three dimensional surface that may be thought of as the result of a sectioning place cutting the surface Profiles are ordinarily taken perpendicular to the lay as shown in Figure Figure 1: Extraction of a two-dimensional profile from a three dimensional surface Consider graphs A through D below These are profile graphs of a topographical image The xaxis represents the position on the image in the x-direction; the z-axis represents the height z z z x Graph A z x Graph B x Graph C x Graph D In a Word document, answer the following questions:  Of these graphs, which would you characterize as the most rough and why?  What assumptions have you made about these graphs?  If you consider your procedure for roughness from Lab 10, would your answer for which graph was the most rough be the same as in the first question? Why or why not? Copyright © 2004 Purdue University Model-Eliciting & Exploration Activity Nano Roughness – Homework Part B This problem is to be completed by your team Read the memo below and complete the assignment presented to your team by the Vice President of Research, Kerry Prior Interoffice Memo: Liguore Labs To: Nanosurface Engineering Team From: Kerry Prior, Vice President of Research RE: Surface roughness update The research laboratory scientists spoke to me today about the surface roughness issue One of the newer scientists on the team believed that methods to measure surface roughness already exist After looking into this issue, I found there are many methods that are commonly used to measure roughness on the nanoscale A method that is used for surfaces in which wear and friction are an issue is called the Average Maximum Profile The attachment has a description of how to calculate the Average Maximum Profile Study the method carefully and compare your team’s procedure to the Average Maximum Profile Please reply in a memo that answers the following questions: How is the Average Maximum Profile similar to the procedure your team produced? How is the Average Maximum Profile different from your team’s procedure? How rough are the three samples of gold (A, B, and C) attached to this memo using the Average Maximum Profile procedure? Compare this to your roughness findings using your procedure In your opinion, which method better quantifies roughness and why? In what ways does the Average Maximum Profile lend itself to the development of a software tool? Does your team’s method lend itself to the development of a software tool? If so, how? If not, why not? Your team has given a great effort thus far Keep up the good work! Kerry Prior Attachments: Average Maximum Profile tutorial, AFM images of gold with cross-sectional data graphs Average Maximum Profile Method (AMP): The Average Maximum Profile Method is an average of the difference between the heights of the ten highest peaks and the ten deepest valleys It is used for evaluating surface texture on limitedaccess surfaces where the presence of high peaks or low valleys is of functional significance Copyright © 2004 Purdue University 10   10 AMP =  ∑ pi − ∑ v j  10  i =1 j =1  where pi represents the ith highest peak and vj represents the jth deepest valley Each team member is to use the AMP method to approximate the roughness of the three sample cross-sectional graph of gold Each team member is to find his or her own 10 peaks and valleys, determine the height value for each of those points, and calculate the roughness value Mini tables are provided with each sample When all of your team members have completed their measurements, compare your answer with those of your teammates Please note that no answer is better than any other Thus, there is no need to change your answers based on what other team members found The team is to complete the summary tables by entering each member's name and measurements for his or her peaks and valleys, along with his or her calculated roughness value At the top of each table, include the roughness value measured using your procedure from the Nano Roughness MEA SAMPLE A: Member Name Peaks Valleys Roughness: Copyright © 2004 Purdue University Copyright © 2004 Purdue University SAMPLE B: Member Name Peaks Valleys Roughness: Copyright © 2004 Purdue University SAMPLE C: Member Name Peaks Valleys Roughness: Copyright © 2004 Purdue University Roughness Measurement Summary Tables: SAMPLE A: Your Procedure Roughness Value: Member Name Member Name Member Name Member Name Peaks Peaks Peaks Peaks Valleys AMP Roughness: Valleys AMP Roughness: Valleys Valleys AMP Roughness: AMP Roughness: SAMPLE B: Your Procedure Roughness Value: Member Name Member Name Member Name Member Name Peaks Peaks Peaks Peaks Valleys AMP Roughness: Valleys AMP Roughness: Copyright © 2004 Purdue University Valleys AMP Roughness: Valleys AMP Roughness: SAMPLE C: Your Procedure Roughness Value: Member Name Member Name Member Name Member Name Peaks Peaks Peaks Peaks Valleys AMP Roughness: Valleys AMP Roughness: Copyright © 2004 Purdue University Valleys AMP Roughness: Valleys AMP Roughness: ...Model-Eliciting & Exploration Activity Nano Roughness – Homework Part B This problem is to be completed by your team Read the memo below and complete the assignment presented to your team by the Vice... One of the newer scientists on the team believed that methods to measure surface roughness already exist After looking into this issue, I found there are many methods that are commonly used to. .. deepest valley Each team member is to use the AMP method to approximate the roughness of the three sample cross-sectional graph of gold Each team member is to find his or her own 10 peaks and