Phys 131, Fall 2012 TA GUIDE—Lab 2 (Part 1) Lab 2 (Part 1)—Introduction to Video Capture and Analysis of Directed Motion & Resistive Forces Overview: This is the first week of a two-week lab sequence designed to introduce the students to video capture and analysis of directed motion. In this first week, they will collect video data for two separate investigations (hour 1 and hour 2). Next week they will analyze their data and try to determine how the resistive forces scale with respect to the varied quantity. In the first investigation (hour 1), they will be asked to analyze the directed motion of either coffee filters falling through the air or different spheres falling through fluid (one concentration of glycerol). (They are investigating how resistive forces and terminal velocity scale with the mass of the falling object.) In the second investigation (hour 2), all students will analyze the directed motion of one sphere falling through different fluids (different concentrations of glycerol). (They are investigating how resistive forces and terminal velocity scale with the viscosity of the fluid.) The lab handout will give explicit instructions on video capture, but no guidance in the performance of the physics skill goals. Your tasks are: 1) to demonstrate video capture skills when asked, 2) to help with ImageJ when asked, and 3) to act as a guide for the physics skills (see the document on helping student groups learn). By next week’s lab, they should have the necessary theoretical background to analyze their data regarding the scaling of resistive force. (It is often a good idea to put the approximate timing on the board, as well as a short list of the objectives/skill goals—see the next page.) Materials: 2 per group—webcams for video capture For coffee filters (hour 1), per group: 5 coffee filters, meter stick w/ stand For spheres (hour 1), per group: o same size spheres made of Steel, Brass, and two densities of plastic o large graduated cylinder with prepared mixture of glycerol and water o slotted scoop for retrieval of sphere from bottom of graduated cylinder o whiteboard markers for marking plastic spheres (may be pre-marked) o meter stick o paper towels, as needed For spheres (hour 2): o Per group—one sphere of either Steel or Brass, paper towels o For the class—five or more graduated cylinders with different concentrations of glycerol (marked on cylinders), slotted scoop for each cylinder 1 per person—Video Capture instructions/lab guide Phys 131, Fall 2012 TA GUIDE—Lab 2 (Part 1), cont. Introduction: Groups of three or four students—performing in the Community Lab roles Mention that resistive forces, like drag resistance and viscous resistance, are proportional to some power of velocity (v1 (viscous, laminar, non-turbulent flow) or v2 (drag, turbulent flow))—by taking careful data, we can see which of these is more appropriate. (Although turbulent and laminar flow are both possible options for either air or fluids, depending on the Reynolds number—they’ll hear more about this in lecture.) For fluids, which are HIGHLY relevant to cellular biology, the resistive force is also proportional to the viscosity of the fluid—by taking careful data, we can see how the viscosity of a fluid affects fluid drag. Ask students to define terminal velocity in their own words. Have them think about what terminal velocity would look like on a v vs. t graph and on an x vs. t graph. Briefly review the Skill Goals (Physics, Image J, and Video Capture, on the next page) Remind students that they are ALL expected to master the skills, so they should take turns and help each other out. Taking notes may not be a bad idea, either. Inform students that a lab report will be due at the end of the lab next week—but it is a good idea to write as much as they can of the report this week, so that they don’t forget what they did! Summation/Submission: o Recap the Skill Goals, clarifying any remaining confusion about physics concepts o Discuss the challenges and considerations with the class, if any have not yet been addressed. Ask the students what they found most difficult/challenging about either the video capture or the initial analysis. ImageJ Skill Goal: Learn how to determine the distance-to-pixel ratio of an image Video Capture Skill Goals: Capture video with the webcam Determine timing (time between frames) and play rate (number of frames per second) Consider elements of video construction/planning (What is the best angle? What is the best time between frames? Is there a known length visible in the video? Are all objects of interest clearly visible in the video? Is the entire portion of motion in which we are interested visible in the video? Is the camera (perspective) stationary?) Phys 131, Fall 2012 TA GUIDE—Lab 2 (Part 1), cont. Physics Skill Goals: Analyze 1-D motion from a video/image sequence Tabulate the position-at-time for an object’s motion Calculate average speed Understand the concept of terminal velocity Understand the scaling of terminal velocity with mass Understand the scaling of terminal velocity with dynamic viscosity Understand the types of resistive force in ‘fluids’—Drag vs. Viscous resistance Analyze motion graphs (y vs. t, v vs. t, (a vs. t)) Determine uncertainty in video measurements Challenges/Considerations: What is 1-D? How do you separate out a second dimension? (Does the perpendicular-direction motion matter? Why?/Why not?) Where is the object? ( What part do we track?) How do you match the pixel locations and time slices to the given scales? What is the difference between average and instantaneous? What should the units be? What does it mean? What does it look like on a y vs. t or v vs. t graph? How is vt proportional to m? Is it linear with vt1? Is it linear with vt2? What are the implications of each of these options? How is vt1 proportional to viscosity (μ or η)? Is it linear? Is it polynomial? Is it exponential? What are the implications of each of these options? Which is proportional to vt1? Which proportional to vt2? What is a ‘fluid’ in physics? How are the graphs connected? What do positive/negative values imply? What do positive/negative slopes imply? How do you determine uncertainty? Is it the same for all videos? How can the uncertainty in position be propagated into the average speed? Is there uncertainty in time? Approximate Timing: (~2 hours) o o o o o Introduction: Data Collection (1st investigation): Data Collection (2nd investigation): Class Discussion/Summation: Data Entry/Data Table: 15 minutes 40 minutes 40 minutes 10 minutes 5 minutes