Storyboard Example: Schematic
Drag Forces: Experiment Analysis Section
This schematic is a variation of the Basic Navigation Scheme for Project Links, describing the organization for the "Experiment Analysis" section of the Drag Forces module. The schematic also includes a textual description (this is in outline form--but whatever you're most comfortable with works) detailing the content for each screen of the Drag Forces "Experiment Analysis" section.
An outline storyboard of the entire Drag Forces module can be found here.
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Concepts page
Analysis of an experiment in the vertical fall of a steel bob
Objectives: In the comparison section, under Case 1: k/m << 1, you saw a steel bob fall in air over a distance of about 6 feet. The purpose of that experiment for students at Hudson Valley Community College in Troy, NY, is to provide a way of measuring the gravitational acceleration, g. Our purpose here is to analyze the experiment with the following objectives in mind:
1. Compare what you can learn from a mathematical analysis of the experimental data on distance vs. time with what you can observe visually.
2. Generalize the velocity vs. time data to apply to any object falling in any fluid.
3. Introduce the concept of similarity for geometrically similar bobs falling in any fluid.
4. Relate these ideas to the fall of a skydiver.Discover Page
Video and text explanation of the steel bob experiment
Observations: Observe the fall of a steel bob falling vertically in air in real time. Write down your observations of how the velocity and acceleration of the bob in the film vary with time and distance from where it was dropped initially. Don't be overly concerned if you find the task difficult; in fact, one of our purposes here is to show how important mathematical modeling and analysis are in interpreting and understanding observations and in using that information for prediction.
Experimental Data The location of the bob every sixtieth of a second during its fall has been converted into a table of data (Table 1) showing the time variation of the velocity and acceleration of the bob. To supplement these data we need some additional information. Table including Data for: Mass of the bob, Drag coefficient, Diameter, Characteristic area, Air density, Air viscosity
Applications Page
Experiment analysis--graph of results: strange result, explain. mathematical represenation of results (eqn. 1.1: mdv/dt = mg), analysis of why drag forces are negligible in this experiment. Include links to solution and derivation for the equations.
Use three sections and include links to Collaborate questions in each part:
Analysis - a strange result
Analysis - inclusion of drag forces in model
Analysis - unraveling the quandaryCollaborate Page
Is the first analysis a strange result? Why?
Under what circumstances are eqns. 9.1 and 9.2 identical?
Practice Page
Include homework problems from chapter 9--taking students through a step by step series of questions that prove eqns. 9.1 and 9.2 are identical under certain conditions.
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