Lab Experiment Standing Waves on a String Terry Sturtevant Winter 2016
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Recap Lab Experiment - Standing Waves on a String Lab Experiment Standing Waves on a String Terry Sturtevant Wilfrid Laurier University Winter 2016 Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements precision measure for digital instruments Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements precision measure for digital instruments precision measure for analog instruments Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements precision measure for digital instruments precision measure for analog instruments 2 uncertainty in the average Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements precision measure for digital instruments precision measure for analog instruments 2 uncertainty in the average bigger of the precision measure and the standard deviation of the mean Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements precision measure for digital instruments precision measure for analog instruments 2 uncertainty in the average bigger of the precision measure and the standard deviation of the mean how to improve the experiment Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements precision measure for digital instruments precision measure for analog instruments 2 uncertainty in the average bigger of the precision measure and the standard deviation of the mean how to improve the experiment 3 calculations with uncertainties Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements precision measure for digital instruments precision measure for analog instruments 2 uncertainty in the average bigger of the precision measure and the standard deviation of the mean how to improve the experiment 3 calculations with uncertainties 4 agreement of quantities with uncertainties Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String What was important in the PC141 labs? 1 uncertainties in measurements precision measure for digital instruments precision measure for analog instruments 2 uncertainty in the average bigger of the precision measure and the standard deviation of the mean how to improve the experiment 3 calculations with uncertainties 4 agreement of quantities with uncertainties 5 writing a lab report Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Parts of an experiment Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Parts of an experiment Data collection Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Parts of an experiment Data collection Data transformation Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Parts of an experiment Data collection Data transformation Data combination Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Parts of an experiment Data collection Data transformation Data combination Data analysis and interpretation Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Parts of an experiment Data collection Data transformation Data combination Data analysis and interpretation The steps are the same as in PC141; the third one becomes a little more involved. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Research questions Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Research questions 1 What is the mass density of the string? Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Research questions 1 What is the mass density of the string? This has a quantitative answer. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Research questions 1 What is the mass density of the string? This has a quantitative answer. We’ll want to compare this with our expectations. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Research questions 1 What is the mass density of the string? This has a quantitative answer. We’ll want to compare this with our expectations. 2 Can we tell which of the samples it matches? Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Research questions 1 What is the mass density of the string? This has a quantitative answer. We’ll want to compare this with our expectations. 2 Can we tell which of the samples it matches? This has a qualitative answer. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Research questions 1 What is the mass density of the string? This has a quantitative answer. We’ll want to compare this with our expectations. 2 Can we tell which of the samples it matches? This has a qualitative answer. We’ll want to discuss how this fits with our expectations. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Research questions 1 What is the mass density of the string? This has a quantitative answer. We’ll want to compare this with our expectations. 2 Can we tell which of the samples it matches? This has a qualitative answer. We’ll want to discuss how this fits with our expectations. There may be others that will come up along the way. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Why this experiment? Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Why this experiment? 1 Appropriate physics for this course Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Why this experiment? 1 Appropriate physics for this course 2 Illustrates various graphical analysis principles Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Why this experiment? 1 Appropriate physics for this course 2 Illustrates various graphical analysis principles The process is similar to that in PC141, with graphical analysis added. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Equipment Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Equipment Oscillating string Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Equipment Oscillating string Masses Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Equipment Oscillating string Masses Samples of “known” strings Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Equipment Oscillating string Masses Samples of “known” strings There are a few other pieces as well. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method string Oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Oscillator (side view) Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method string Oscillator (side view) Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Cup and pulley Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String pulley Parts of an experiment Research questions Why this experiment? Equipment Method - Cup and pulley Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String pulley - cup - Parts of an experiment Research questions Why this experiment? Equipment Method Cup and pulley Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method View from oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String oscillator Parts of an experiment Research questions Why this experiment? Equipment Method - View from oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String pulley - oscillator - Parts of an experiment Research questions Why this experiment? Equipment Method View from oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method View from pulley Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String oscillator Parts of an experiment Research questions Why this experiment? Equipment Method - View from pulley Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String oscillator - pulley - Parts of an experiment Research questions Why this experiment? Equipment Method View from pulley Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method String Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method 6 node String Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String 6 node Parts of an experiment Research questions Why this experiment? Equipment Method 6 antinode String Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method String near oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method node? String near oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method node? antinode? String near oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method node? antinode? other? String near oscillator Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Adjust mass and try to get a standing wave pattern. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Adjust mass and try to get a standing wave pattern. Determine the wavelength and tension and their uncertainties. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Adjust mass and try to get a standing wave pattern. Determine the wavelength and tension and their uncertainties. Repeat until you get data for several different patterns. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Adjust mass and try to get a standing wave pattern. Determine the wavelength and tension and their uncertainties. Repeat until you get data for several different patterns. Verify that your data are changing monotonically. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Adjust mass and try to get a standing wave pattern. Determine the wavelength and tension and their uncertainties. Repeat until you get data for several different patterns. Verify that your data are changing monotonically. Determine the mass densities of string samples. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Adjust mass and try to get a standing wave pattern. Determine the wavelength and tension and their uncertainties. Repeat until you get data for several different patterns. Verify that your data are changing monotonically. Determine the mass densities of string samples. Verify that your string density is the same order of magnitude as the samples. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Adjust mass and try to get a standing wave pattern. Determine the wavelength and tension and their uncertainties. Repeat until you get data for several different patterns. Verify that your data are changing monotonically. Determine the mass densities of string samples. Verify that your string density is the same order of magnitude as the samples. Perform detailed analysis to get the density of your string to compare with the samples. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method Method Adjust mass and try to get a standing wave pattern. Determine the wavelength and tension and their uncertainties. Repeat until you get data for several different patterns. Verify that your data are changing monotonically. Determine the mass densities of string samples. Verify that your string density is the same order of magnitude as the samples. Perform detailed analysis to get the density of your string to compare with the samples. Order of magnitude calculations in the lab ensure that your data aren’t gibberish. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method What are the graphical analysis techniques? Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method What are the graphical analysis techniques? Linearizing the equation Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method What are the graphical analysis techniques? Linearizing the equation Plotting a linear graph to see how well the data fit Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method What are the graphical analysis techniques? Linearizing the equation Plotting a linear graph to see how well the data fit Determining the slope and y -intercept from the graph using least squares fitting Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method What are the graphical analysis techniques? Linearizing the equation Plotting a linear graph to see how well the data fit Determining the slope and y -intercept from the graph using least squares fitting Determining the uncertainties in the slope and y -intercept from the graph using whichever technique is appropriate Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method What are the graphical analysis techniques? Linearizing the equation Plotting a linear graph to see how well the data fit Determining the slope and y -intercept from the graph using least squares fitting Determining the uncertainties in the slope and y -intercept from the graph using whichever technique is appropriate Calculating the mass density of your string (and its uncertainty) using the linearization equations and your graphical results Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method What are the graphical analysis techniques? Linearizing the equation Plotting a linear graph to see how well the data fit Determining the slope and y -intercept from the graph using least squares fitting Determining the uncertainties in the slope and y -intercept from the graph using whichever technique is appropriate Calculating the mass density of your string (and its uncertainty) using the linearization equations and your graphical results After this it’s just a matter of comparing values and interpreting the results. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method How do you determine the “best” linearization? Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method How do you determine the “best” linearization? How well the data points fit Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method How do you determine the “best” linearization? How well the data points fit Which ones makes the uncertainties in the calculated results smallest Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method How do you determine the “best” linearization? How well the data points fit Which ones makes the uncertainties in the calculated results smallest These may not both indicate the same linearization as “best”. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method When is the lab report due? Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method When is the lab report due? Six weeks from now Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method When is the lab report due? Six weeks from now You have two other exercises to do first Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method When is the lab report due? Six weeks from now You have two other exercises to do first What about the post-lab questions? Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method When is the lab report due? Six weeks from now You have two other exercises to do first What about the post-lab questions? Not now; they will be part of the lab report. Terry Sturtevant Lab Experiment Standing Waves on a String Recap Lab Experiment - Standing Waves on a String Parts of an experiment Research questions Why this experiment? Equipment Method When is the lab report due? Six weeks from now You have two other exercises to do first What about the post-lab questions? Not now; they will be part of the lab report. Terry Sturtevant Lab Experiment Standing Waves on a String
