Lab06-AirResistance-InPerson-Exploration-v2

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Jan 9, 2024

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Lab 6: Air Resistance Physics 112 © 2021 San Francisco State University 1 Lab Group Names: ________________________ Supplies: coffee filter, set of masses (2x1g and 1x5g), 2m ruler or tape measure, tape and markers, smart phone, video-viewing software (Google Photos or Windows Media Player), spreadsheet software (Excel) If you do not have materials or trouble collecting data, please see your lab instructor Part A: Experimental Data Collection In this part, you will be recording video of your group dropping a coffee filter 1. Prepare your measuring device. Using tape and markers, label the highest point 0. 2. Measuring positive numbers downward along the direction of motion for a falling object, add additional markings approximately every 10 cm. Be aware of your units. This will make it so that you can easily read your measurements on video where the numbers are small. If you use inches, *please don’t forget to convert inches to centimeters or meters* during your calculations. 3. For the first experiment, without any mass weights in your filter, have one group member hold the filter close to 0 or has high as they can next to the measuring device. 4. Have the group member who is the video recorder begin video capture. Then, drop the filter, and record a video of it falling down. Try to with the tape measure right behind it so you can measure the filter’s position as it falls. Try not to let the filter drift too far away from your measuring device. You might want to do this trial twice or three times to make sure you get a good video, and save the best drop. 5. Suggestion: Go onto Part B, Part C and Part D, to make sure your experimental process works well enough to record the filter’s position and you can extract data for your data table. If not, come back and repeat your experiment with no additional masses in the coffee filter. We’d rather you get one good run with complete data analysis than three perfect videos but no data analysis. 6. Next, put 2g of mass in the center of the filter. Video record it falling to the ground. 7. Repeat the experiment with a 5g mass in the filter. Part B: Data Processing- Measuring “frames-per-second” 1. Open your first video (no masses, coffee filter only) on your computer or in a browser with a video viewing program. If you have a Google Account, Google Photos (photos.google.com), is a good option for analyzing videos; if not, the machines in the Physics Lab Room have Windows Media Player installed. 2. Figured out how to advance your video in “frame by frame” mode, where you see every single frame (this cannot typically be done directly on a smartphone). In Google Photos,
Lab 6: Air Resistance Physics 112 © 2021 San Francisco State University 2 the “<” and the “>” keys on a keyboard (above the comma “,” and period “.” keys, respectively) will allow you to advance one frame at a time- think of them as backwards arrows and forwards arrows. If you are using Windows Media Player, right click on the movie, then choose “Enhancements” in the menu, and then “Play Speed Settings”; click the forward or backwards button to advance the movie one frame. has optional settings to let you view videos frame-by-frame. If you are having trouble, ask your instructor or do an internet search to learn how to do this. 3. Count the number of frames your camera takes in one second of time. Do this by pressing the next frame button or on the keyboard until the number of seconds changes in the timestamp. Then, press next frame repeatedly, counting the number of frames advanced, until the number of seconds in the time stamp increased by 1. If you count 30 frames, for example, you know the time interval between each frame is 1/30 th of a second, or 30 frames per second. Some cameras capture at 30 frames per second, some at 60 fps, so it is important to check your camera’s settings. Record the number of frames per second in on the notes sheet on the last page of this lab. Part C: Data Processing- Recording Position and Frame Data 1. Open your spreadsheet software; we recommend Microsoft Excel. 2. You will record Frame Number in Column A and Position in Column B. Write column titles (with units) in Row 1 (in cells A1 and B1). 3. Find the frame when the filter is close to Position = 0 AND just starting to fall. You will choose this to be “Frame 0”. Frames after this point will be numbered 1, 2, etc. 4. Record 15 different position values for the coffee filter during its fall using from your measuring device, including 10 points that are in the second half of the drop after it has fallen about 1m; also record as the Frame Numbers from which you take these measurements. For example, if the coffee filter is between 0.9 and 1.0 m 10 frames after “Frame 0”, frame number should be recorded as the number “5” and the position may be estimated as 9.5 (note: enter numbers with no units into the spreadsheet). Space these measurements out so they span the entire motion, choosing frames that conveniently line up with measurements on your measuring device. It is ok to estimate the position if you can’t make an exact measurement. Again, do NOT include units in your position measurements on your spreadsheet, just numbers. 5. Go on to Part D if this is for the empty coffee filter experiment. Otherwise: open a new sheet in the spreadsheet software, and your video file for the coffee filter with other masses, and repeat Part C Steps 2-4 for the other videos. Part D: Plotting data 1. Add a Time column to your first table in Column C, label cell C1 “Time”. In cell C2, type “=A2 / ” and then type the measured number of frames per second from Part B Step 2 . Press Enter, and it should have divided your Frame Number in cell A2 by the number of fps, to give you a measurement of time. 2. Use the “Fill Handle” to quickly copy/paste this formula into in all rows of the Time column. In Excel, you do this by clicking on and dragging the small black square that is in the bottom right corner of a cell, and your cursor turns into a black cross when you hover over the bottom right corner of a cell.
Lab 6: Air Resistance Physics 112 © 2021 San Francisco State University 3 3. Copy/Paste your Position column (Column B) into Column D. 4. Select all cells with your data in Column C (Time) and Column D (Position). Include the column title cells in Row 1. 5. Insert a Scatter Plot with all the data for your first experiment. Do NOT choose a plot that connects the dots. (In Excel, click the Insert menu, find the “Charts” section and click drop down menu next to the scatter plot icon, choose the disconnected dots scatter plot. Verify that position is on the Y-axis, and time should be on the X-axis. If not, make sure Time is the first column you selected and Position is the second. See your instructor for assistance if required. 6. Observe whether your data appears to fall along a straight line, or does the data appear to curve upwards at first, and only later does it seem to follow a straight line? Recall that this happens due to the low velocity limit and the high velocity limit of air resistance. 7. Choose a data point where your data has begun to follow a straight upward sloping diagonal line. Note the time in your lab notes. 8. Insert a new scatter plot, but this time include only data points for times after this data point. Select cells in Columns C and D with times greater than this data point. Hint: You may have to omit the first 5 or more rows of data. 9. Add a trend line to your plot, and display the equation on the chart. In Excel, right click on any data point, then choose “Add Trendline…”. Then, right click on the trendline that appears, click on “Format Trendline…”, find the chart option “display equation on chart”. Ask your instructor if you need assistance. 10. Record the equation for this trendline in your lab notes. Recall from the introduction that the slope of the trendline ought to be equal to m*g / b, which is the terminal velocity. 11. If necessary, convert your slope’s units to m/s. Record the terminal velocity in your lab notes. 12. Repeat Steps 2-7 with your second and third set of experimental data, and record your new trendline equations to find different terminal velocities. Part E: Calculations of Air Drag Coefficient, b 1. Calculate the Weight Force for each of your experimental trials. The mass of a coffee filter alone is 1 gram. (W= m*g), using the combined mass of the filter with any objects it was holding. Make sure to convert your measurements to units of Newtons (Recall: 1 N = 1 kg m/s^2.) Record the Weights in your lab notes. 2. Start a new spreadsheet. Make a new 2 column x 3 row data table (plus headers) with your measured terminal velocities (Part D Step 11) in the first column, and the corresponding Weights in the second column. 3. Highlight the 2x3 data table, and insert a scatter plot of Weight (y-axis) vs Terminal Velocity (x-axis). Insert a trendline between these points. Display the equation and record the slope of the trendline . The slope of this line is the value of your drag coefficient, b. The drag coefficient describes the shape and surface area of the coffee filter.
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Lab 6: Air Resistance Physics 112 © 2021 San Francisco State University 4 Part F: Wrap Up Make sure your tables are organized, and your graphs have chart and axis titles. PDF-print your data tables and your charts showing your data and trendlines, and upload your tables and charts to one group member’s Canvas’ Lab 6 “Assignment” dropbox. You should include one data table for each experimental run and one scatter plot for each experimental run of the linear portion of your data, plus the plot of weight vs terminal velocity.
Lab 6: Air Resistance Physics 112 © 2021 San Francisco State University 5 Lab Notes Part B Step 2: Frames per second: _______________ Part D Step 7: Time to start “high velocity limit” Trial 1: No added mass: ______________ seconds Trial 2: 2g added mass: _________________ seconds Trial 3: 5g added mass: ________________ seconds Part D Step 10: Trendline equation (in the form of y = m * x + b) Trial 1: No added mass: ______________ Trial 2: 2g added mass: _________________ Trial 3: 5g added mass: ________________ Part D Step 11: Terminal velocity (slope (“m”) in trendline above, converted to m/s ) Trial 1: No added mass: ________________ m/s Trial 2: 2g added mass: _________________ m/s Trial 3: 5g added mass: _________________ m/s Challenge Part E Step 2: Weight Forces (N) Trial 1: Coffee filter: __________________ Newtons Trial 2: Coffee filter + 2g: _________________ Newtons Trial 3: Coffee filter + 5g: ________________ Newtons Challenge Part E Step 3: Slope of Weight vs Terminal Velocity trendline (the drag coefficient for coffee filter) __________ N * s / m