logger pro slope uncertainty 2 cm – gives the “absolute” uncertainty. There is uncertainty in these measurements which are shown to be +/-. 10. Set up a low ramp made of angle molding on a table so that a ball can roll down the ramp, across a short section of table, and off the table edge as shown in Figure 1. Record the acceleration, which is the slope, in the data table. Auto-ID Sensors: With auto-ID sensors, such as the stainless steel thermometer, the Logger Pro software will identify your sensor when you start up. In Logger Pro, open up the file “Video Analysis Template. mp4. time graph below. Scale the movie: Click on the meter stick icon (Set scale) on the right. 1 logo. How does the constant c relate to the slope of the velocity vs. [3points]An experiment counts events at an average rate of 1000 events per second (or 1000 Hz). You see the collected data varies and can even use the stat button to get more information. 51. Also, there is the data analysis program Logger Pro that we will use in class. 5. In order to plot a graph of just Part 3 data, go to Axes Options, unclick Part 2 variables and click on the [G],[R],[B] variables for Part 3. 9. 11. 13. 2 for an uncertainty of +/- 0. 3. Logger Pro color pencil (to correct graphs) Procedure. 1. How does this compare with the value you obtained for the first 5 trials? Equipment: Vernier computer interface, Vernier Motion Detector, Computers, Logger Pro, table clamp, aluminum rod, right angle clamp, wooden blocks, balls In this experiment, you will measure the value of the acceleration due to gravity (g) using two different methods and compare them against the standard accepted value of 9. An example is shown below. t^2 graph is, and build the general kinematic equations. We used a segment of the line where the slope appeared constant and positive (see graph determine the position of the object. 1. With Logger Pro we were able to map out the rate and acceleration at which the coffee filter(s) fell. A new line appears on the graph, with a new The next step is to tell Logger Pro that you want to use the "error" column as the uncertainty for the y-column. After the players were recorded, the video was put into the Logger Pro software to be analyzed for velocity of the swing. Double-click on the “X” in the Data Set window. If you are using a PC, the following screen will be Thus, we entered our data into Logger Pro and graph it to obtain the slope which is the value of kinetic friction coefficient. Click the slope tool (it says 'R = ' on the Logger Pro toolbar, and is two icons to the left of the clock icon), and it will give you the slope and uncertainty of the line. This slope will be compared to the accepted value of the acceleration due to gravity (g=9. Connect the other probe tips to the signal output as shown in the figure. 11. Loggerpro recorded the slope of the lines on the raw data graphs to 6 decimal places, therefore the uncertainties are also specific to 6 decimal places. 4. Using the power fit we can see that A=k & n=b. The next step is to tell Logger Pro that you want to use the "error" column as the uncertainty for the y-column. It is simple to use and economical to deploy. Make sure the ramp switch on the power supply is set to reset. 2 m/s2. uncertainty to just one digit and round the average value to the same decimal place. By repeatedly analyzing this video, I have an idea of the uncertainty due to the human input. ultrasound motion detector. Ensure the graph should be a smooth curve with a slope that shows initial acceleration decreasing to zero. It will look like it is collecting points, but if you look at the data points in the columns. 8137 m/s/s We have a conflict in values for acceleration. An increased weight will mean a higher terminal velocity while an increased drag means a lower terminal velocity. 9 m/s2. We then averaged them in order to more easily work with the data and to compare it. volume data. The absolute value of the slope of the graph is equal to 1/RC. minutes of discharge. The horizontal axis has volume scaled from 0 to 20 mL. 8 ± 0. • find the average of your acceleration data and to understand its physical meaning. A label will pop up on your graph showing the slope (m) and the y-intercept (b): USING CURVED FIT TOOL 1. We repeated this test with varied parameters 6 times. The VW V-Logger is ideal for monitoring multilevel piezometers and multipoint extensometers. Record this value with its uncertainty as the acceleration of gravity. force acting graph. Next we ran our system through logger pro. Using the power fit we can see that A=k & n=b. With this program, you can effectively monitor experiments, test results, and share them through graphical representations. Fitting the line we found the slope (acceleration) to be 0. Determine the average value of ag for all 25 trials. 2 V Zener. Prepare the computer for data collection. 794 Run B: The gradient can be quoted as the gradient of the linear fit and the uncertainty from ½ (max gradient - min gradient) In this case ½ (5. With the slope of the acceleration and slope of the velocity, we were able to use mathematical models to describe accelerated motion. Enter and convert to kg. Analyze any Record current (ammeter output), voltage (Logger Pro graph), and magnetic field strength (Logger Pro graph) in the table below. • Mac: Logger Pro About Logger Pro What is the build date listed for this version of Logger Pro? 2. 2 Estimate the uncertainty in your slope measurements. Connect the smart pulley to the “Dig/Sonic 1” port of the computer interface. Logger Pro will perform this calculation for you. An “empty” distance vs. Which is how we came up with the position vs. Measure the value of the acceleration of gravity in Boston. Materials: spring, clamps, mass, motion sensor, force sensor, ruler, logger pro. Then you can drag over a small straight region just after the collision and get the slope there. Click Analyze then Linear Fit to perform a linear regression of the selected Logger&Pro&GraphingInstructions&! 1. Your intended use of the data determines which display method your group will use. Open the LoggerPro application from the Start menu or desktop. To start, try something simple like force or temperature1. Perform a "linear fit" on the data. 5 kPa. Click the slope tool (it says 'R = ' on the Logger Pro toolbar, and is two icons to the left of the clock icon), and it will give you the slope and uncertainty of the line. If you have a PC or Mac but are unable to install Logger Pro, contact Joon for help. constant slope on the velocity vs. CMBL file: Vernier Logger Pro Data. For example, measure the net charge created by rubbing your feet against carpet. You can click on the Y-axis labels to determine which one you want to view on the graph. (2) Procedure 2 – Graph (1/ aexp) versus (M c/M h) and obtain both the slope as well as the uncertainty in the slope. 1 or later, or Windows XP/Vista/7. Using Logger Pro, produce a graph of your motion when you walk away from the detector with constant velocity. From the Logger Pro menu, make the following selection. Theory A simple pendulum is an example of an oscillation device. We used the position graph to calculate the slope of a segment of the line. 5. Toassist you,labelthesepointsasseeninFig. time graph? The constant C represents the coefficient value for the x 2 value of the position vs. Logger-pro is able to make a graph by marking the distances after each time frame that the filter fell. 2 ± 0. Double click on the y-column in the data set (at the top). The software provides built-in functions to find the area under the curve and its slope. Click on the "options" tab. 9. 258. 3. Have the Logger-Pro program installed on your personal laptop. • Place 200 grams on the hanger. Repeat Steps 4 – 8 for two, three, four, and five coffee filters – keep adding as many as you can for which they fall with terminal velocity. y Using the method appropriate for your computer, start the Logger Pro application. 0 and a max of 3. 5. I, then, entered the uncertainty for the position as 0. The slope of graph m=0. (Double-click on the Logger Pro icon, or select Logger Pro in the Start Menu. The vertical axis has pressure scaled from 0 to 2. Then type, "Logger," and select "LoggerPro. that are associated with the slope and intercept of the linear fit. Click Ok. 2. Do the same things you did to the graph in Part 2 so that you can determine the value of K for this set of data. Excel has a function that provides this statistical measure; it is called LINEST. How do you then determine the coefficient of friction? The uncertainty δ(Δt) = δti 1 + δti = 0. Logger Pro clamp or ring stand to secure Photogate PRELIMINARY QUESTIONS 1. Goals : To verify the following basic Physics Principles in 5 seconds of data collection Preparing Logger Pro for Measurements Connect the pressure sensor to Channel 1 of the LabProTM interface. You can consider the uncertainty to be the difference between your two measurements for each trial. The random uncertainty can be estimated as ½ of the full range of measured values. Below is an example of the graph of data we got using Logger Pro. Logger Pro - Untitled* [2 Show Uncertainty [Z] Show On Graph One of the advantages of using Logger Pro is that a student does not need calculus in order to find the ar- ea under the graph or its slope. 6. Excel what and how Logger Pro measures the data. Computer should be already turned on. time graph should appear on the screen. 12. To facilitate the evaluation of the data you have obtained for the 25 trials you have performed, disconnect the photogate from the interface and enter your values of slope into a new Logger Pro file. Use the “half width at halfmaximum”(HWHM)ofthepeakasameasureofthis. Connect the Motion Detector to PORT 2 of the Universal Lab Interface(ULI), and turn on the ULI switch in the back. How does this compare with the value you obtained for the first 5 trials? Logger Pro comes with the most advanced, useful, and efficient methods of analyzing, collecting, and monitoring data. 1. Logger Pro has an analytics video facility for creating and analyzing the visible graph of motion representation in the video so that it can be used in physics learning. Click Analyze then Linear Fit to perform a linear regression of the selected Logger-Pro program to display accurate graphs that convey meaning. A. Find the uncertainty in each peak wavelength. 8. e. 2. Detailed Use the Logger Pro software to select a range of data values which lie along a smooth curve, and fit the data with a curve of the "Inverse Exponential Function" type. Open Logger Pro. 941 -7. Labelwiththewavelength uncertainty, let‟s assume that I have determined that the uncertainty in my result is 0. 2. Calculate the slope of Using the logger pro file “Motion Tracker. With this program, you can effectively monitor experiments, test results, and share them through graphical representations. You may need to an adapter to connect the probe to the interface. time and measure the slope of the function both on the way up and on the way down. 2. 11. Convert to kg. 9. We performed another calculation to find the final temperature if 50g of water at 5 ° C is combined with 150g of water at 85 ° C. First indicate which portion is to be used by dragging across the graph to indicate the starting and ending times. 7. Use one of the following options. The type of motion occurring when the slope of a distance vs. Calculate the percent uncertainty in the diameter of the spheres using equation 7. 3. To determine the velocity of Cart 1 after the collision: Use the blue best fit line from Logger Pro between time 1. Record (on your Worksheet) the slope and uncertainty of the linear fit to your 9 points with all digits, just as they appear in the data box; for the time being you will keep all digits for subsequent calculations. Print your graph . Print your graph by following the directions on the following slide. a single reading, or the uncertainty from scatter. 9. Here δm*is the uncertainty in the slope, m max is the slope of the I do not think using percentage uncertainty would make sense here because you could measure the slope with however big or small numbers you wanted, depending on what two points you chose to use. I got Vernier Logger Pro to do the tangent and slope calculations for me which is why there are more decimal places than uncertainty. (2) Move the magnet and support stand so the magnet is 2 – 5 mm from the aluminum rod. b. Take your LabQuest to one of the lab computers. Record the slope and uncertainty in Table 5. is the slope of x(t), the quantity while the standard deviation is the uncertainty − the spread in In this case, the slope has a physical meaning. Spread of uncertainty There is some uncertainty associated with every measurement we take in the laboratory, simply because no measuring device is perfect. In other words, it explicitly tells you the amount by which the original measurement could be incorrect. This will bring up a menu that will allow you to try curves of best fit. Data Input Formatting Use the red best fit line from Logger Pro between time 1. Change the name to the name of the data you want on the X axis (probably your independent variable or time). 8. " Start a new "Logger Pro" document. Open Logger Pro on the Desktop. To find the uncertainty of velocity δv use the procedure described in section 0. Now you must use the maximum and minimum best-fit lines to determine the final uncertainty in the stated value of the slope of your best-fit line. 2. The main purpose of this lab is to become familiar with the Lab-Pro interface and be able to create and control graphs in the Logger-Pro program. It can then use the change in position to calculate the object’s velocity and acceleration. Collect the pressure vs. Measure the total mass of the hanger with the mass on it, M. 3 Basic Instructions – Logger Pro is capable of doing many things as far as data entry and analysis. LW 18! This is a method of finding the slope and intercept, with associated uncertainties, of the line giving the ``best fit'' to your data. Medical Interventions Logger Pro Resource Sheet – Page 3 How to perform a Linear Fit: The Linear Fit feature draws a linear regression line over the selected area of a graph and calculates the slope (m) and Include uncertainties, sources of uncertainty, and how to minimize uncertainty – 4 points Explore shortcomings of the experiment – 3 points Analyze the data with your mathematical model correctly in order to find a value for the spring constant of the spring – 4 points Switch to Logger Pro. Next, you will place a data point on each frame of the video corresponding to a point on the object whose motion you wish to analyze. . 5. First, it is important that the software and hardware are set up properly. Here is the max slope that ‘looks’ like it fits. Logger Pro can fit a straight line to a portion of your data. Collect Data with LabQuest and Logger Lite or Logger Pro • Connect a sensor to LabQuest. Click on the Logger Pro 2. Record your values in the data table Logger Pro masking tape . a. Disconnect the spectrometer from your computer. 5103 intercept 0. 1908 for n. Here we plotted our terminal Force vs time and use the power fit function on logger pro. 6. 01 s and is determined by the electronic unit controlling the Logger Pro acquisition system. ) The program should open with a table of X and Y columns. Uncertainties in your Slope The slope will have some meaning that will be used to determine a quantitative answer to the lab’s purpose (sometimes it’s the inverse of the slope that will answer the purpose) As with any measured or calculated value, we need to determine the uncertainty. 3. II. ) Graph Set 1 Situation: Cart along a frictionless track, set level, no incline. (4) Follow the instructions below to make a connection between your answer in (1) and in (3). Select the appropriate movie. Whiteboard a sketch of your plot. They should be different. The method is implemented as a function in the Excel spreadsheet and as an analysis tool in Logger Pro. Accuracy is a measure of how close an estimate is to an accepted value. Once the Windows NT desktop has appeared, click on the Start button in the lower left corner; then mouse-over Programs, Vernier Software, Logger Pro 2. 2 From the pull down menu, choose Insert Graph and do that again… you should now have 3 graphs on your screen. Velocity Vs. Select a region of the graph that encompasses at least 20 period measurements. Here’s how: 1. 2. c. Although the mass moves through air and thus has some damping, we consider this arrangement to be our “un-damped” oscillator. So, let me show you The students plot F c vs. To find Logger Pro on Your windows 7 or 8 computer, press the "windows" button until you see the tiles. After three revolutions make sure that the grooves on the pulleys are precisely aligned with the dark line on the masking tape. 80 m What is the uncertainty on your slope, the velocity? Record this in the data table on page 5 of the Logger Pro file. 55cm. Equipment: Computer with Logger Pro software, lab pro, motion detector, nine coffee filters, meter stick Introduction: When an object moves through a fluid, such as air, it experiences a drag force that opposes its motion. Use Logger Pro to analyze video and calculate position, velocity, and acceleration. The uncertainty is related to the width of the peak, since the wider the peak is, the more uncertain where the highest point is. time graph during the free motion of the glider. A label will pop up on your graph showing the slope (m) and the y-intercept (b): USING CURVED FIT TOOL 1. 3. 8137 m/s/s Calculated acceleration 0. Walk slowly away from the Motion Detector when you hear it begin to click. 2. LoggPro will join these points dot to dot but this is not what we want so first remove this by double clicking the graph and unchecking the box next to "connect points". 4. Double<clickonthe“X”intheDataSet !window. mass of cart 510 grams uncertainty in mass Further, the slope of this line should be r (the distance from the center to the accelerometer). This will give you the force constant, k, for the spring. Discuss your Start logger Pro Locate the Logger Pro icon and double-click on it. Part l Setting up the computer &Preliminary Experiments. walk back and forth in front of Motion Detector Part 2. Then connect the photogate to DIG1. To facilitate the evaluation of the data you have obtained for the 25 trials you have performed, disconnect the photogate from the interface and enter your values of slope into a new Logger Pro file. II. Apparatus: You will have a spring hanging down from a force sensor. Record the slope and y-intercept values for the Using Video and Logger Pro to Measure the Motion of Objects Page 2 of 3 9. Open Logger Pro . Thus, we entered our data into Logger Pro and graph it to obtain the slope which is the value of kinetic friction coefficient. Note that the path may a bit different than the one shown. A thermometer coupled with a Logger Pro graphical was placed into the liquid to measure the amount of time it took for the liquid to evaporate conpletely. Then I found the slope at the linear portion of this plot, which is the acceleration of the cart. 0 means that there is no linear relationship. In the box labeled “Name”, change the name to match the variable of the data column on your worksheet. 6. 1 - 2 Physics with Vernier PRE-LAB QUESTIONS 1. 65 -9. edu. To measure this difference, give the cart a push up the incline. 767 1. The flag should not strike anything as the glider travels down the air track. a. Which is how we came up with the position vs. This gives a min slope of 3. Watch the movie. Add a velocity graph. ) You will use this value of ρwater in Part II. 1. 12m/s)time 10. Data. To do so… 2. Transfer the Time and Gate data from logger pro into the six yellow cells under “SLOW CAR. Find the uncertainty in each peak wavelength. , changing its velocity by 4 m/s per second), then the slope of the line will be +4 m/s/s. Logger Pro requires a • Open the Logger Pro file ”NEWTON2” • Measure the mass of the cart, m and enter it into the data sheet. harvard. If we wish to report the slope within a chosen confidence interval (95% confidence interval, for example), we need the values of the variance of the slope, O à 6. Therefore, you have found a value of the slope that corresponds to some physical quantity. We can get Logger Pro to display all three graphs simultaneously. Step 5. Plot the dependence of velocity vs median time. Sensor Dialog: Clicking the LabPro box shows your sensor information, the units, and current readings. R and get a numerical value for the slope with uncertainty. Determining a Spring Constant Introduction Logger Pro graph, and then smoothly rotate the three-step pulley counterclockwise through three revolutions with your finger tips. A. Inspect your Picket Fence. All of this information can be displayed either as a table or a graph. Use increments of 0. Cart pushed to make it travel fast. Resolution uncertainty is an important influence for estimating uncertainty in measurement. If Logger Pro® is running with someone else’s data, click File, New. Instead of drawing in the line by “eye”, Excel or Logger Pro can find the best-fit line There are at most two significant digits in the slope, based on the uncertainty. 6. This should start the Logger Pro program with the appropriate settings selected. If the Logger Pro program is not running on the computer, start it by double clicking on the appropriate icon on the desktop. 5. It consists of a point mass suspended to a pivot by an inextensible weightless cord. Keep a sample copy of the lab pro graph for your report. Most video file types are accepted, including: *. We took linear fits of the data for when the mass was moving up and down. The uncertainty is related to the width of the peak, since the wider the peak is, the more uncertain where the highest point is. As said, the sensor of known uncertainty measured the position of the cart as it slided down a ramp and a plot of Velocity vs Time was automatically generated by the program on the computer. There is of course Open Office, Excel, Google Docs and other spreadsheets. Determine the average value of ag for all 25 trials. 0 cm. 75cm and measuring the actual distance to be 81. cmbl” find a way to measure the natural angular frequency, w 0, of the oscillator. Its vertical axis has distance scaled from 0 to 5. Time Graph Linear Fit Parameters Y-intercept Acceleration (m/s) 18. this may have been the result of slight changes with the incline of the ramp or not dropping the ball from the exact spot every time. 3. Period will, of course, be plotted on the vertical axis, since Period is the dependent variable. 4 ± 0. Logger Pro comes with the most advanced, useful, and efficient methods of analyzing, collecting, and monitoring data. the Logger Pro file to your partner at this point. r with an equation of the form Fcoul = A/r2. A photogate is an optical device that is used to accurately time events. Connect the LabQuest Mini interface to the computer. Turn off your power supply and clean up your apparatus before beginning your analysis. If you don't have a PC or a Mac of your own, you can use Logger Pro on a computer in the Science Center computer lab to complete this part. Develop your own experiment files to match your curriculum. 2 seconds which reads 10,000 samples per second. Figure 8: The normal force vs. Plug in the cable from the Motion Detector into Digital/Sonic Port 1 on the Lab Pro Interface Box. If not, you can select the variable for each axis by double-clicking on the axis name and selecting the appropriate variable. 2s. Silver Fox is running around trying to catch a troublemaker. Includes over 1,000 experiment files supported by our library of lab books. The slope value should be y-intercept. measured value, the uncertainty value, and % uncertainty = 100 £ measurement uncertainty smallest measured value: (7) 5. #1 Connect the motion sensor to the LabQuest mini, and connect the LabQuest mini to the computer and open LoggerPro #2 Place the motion sensor at the bottom of the track #3 Let the cart run for a very short amount of time on the track and then tart the motion sensor on Logger Pro 9. A = ± (l) Draw conclusions. Write down those values, and write down the equation it used to fit the data. Find the slope of your position vs time graph by clicking Analyze then Linear Fit. His email address is pahk@fas. Stop recording the data around two seconds after the filters have reached the ground and save the data on Logger Pro. INCLUDE UNITS. The uncertainty of the measured acceleration was taken equal to the uncertainty in the slope of the best linear fit of the velocity vs. (Use Logger Pro To Calculate Mean Time And Uncertainty From The Time Given) Mean Time (5) Uncertainty (5) 3. 95) = 1. These uncertainties are given by the curve fit used in the picture above. Figure 8: The normal force vs. We also used a curve fit to find the slope which will help us to eventually find the acceleration since we now know the velocity. The Lab Pro will beep when the power is connected. Flag Length Setting-You will be using one of the cylinders as the flag. Disconnect the LabPro. a) Thepointofpeakintensity 4. This will bring up a menu that will allow you to try curves of best fit. Learn to use the Logger Pro software to collect and analyze data using histograms and Gaussians distributions IV. 2. 247426 mm Hg slope 387. The horizontal axis has time scaled from 0 to 2 seconds. Perform a motion analysis for the fall. Record the dV/dt values and uncertainty in Table 1. 2. 84 m/s2, express your result as g = 9. Continue to move masses from m2 to m1 in 5 or 10 g increments, changing the difference between the masses, but keeping the total constant. 9 ---- V I. 1 amps, repeat the experiment 15 times until you reach a maximum of 1. Equipment Air track (with air supply), glider, Vernier Motion Detector (with clamp), Vernier LabPro™ system (includes computer and Logger Pro™), small stand, and a ruler. If not, you can select the variable for each axis by double-clicking on the axis name and selecting the appropriate variable. 005 + 0. cmbl. Logger-Pro collected data: Measure something that should be constant. Logger-pro is able to make a graph by marking the distances after each time frame that the filter fell. Supports over 80 Vernier sensors for real-time graphing and analysis. Open a blank file (double click the Logger Pro shortcut. 3. Open Logger Pro 3. Because of the crazy large number of digits provided by the photogate, we do not need to worry about the uncertainty in our times and we The FFT graph on Logger Pro is set at 0. Remember to use an equation ’ ! Slope resistance rises sharply below 6 V, and more gradually above 6 V, but is typically ≈10 Ω at 5 mA for a 6. To set up your X and Y data sets: Double click on the “X” in your data set column. The videos were scaled to the size of a regulation racquet (0. Arrange windows. Enter your data from Data Table 2 into Data Set 2. Mass. 2 m/s2, it is absolutely clear to the reader both what I have measured and how well I have measured it. These instructions will serve as a basis for presenting data in a graphical format and analyzing it using Logger Pro’s tools. 6. file. Using the LoggerPro Software. 65s and 2. 4. • Launch Logger Pro or Logger Lite. time graph. Logger Pro software Plastic "Picket Fence" on glider Elevating blocks Vernier Caliper 2-meterstick INTRODUCTION: Acceleration is defined as t v Lim t ∆ ∆ ∆→0, where ∆v is the change in speed that occurs during the elapsed time ∆t. That being said, you should always manually calculate a few results to convince yourself that the program is working the way it should be. ) In words, briefly describe what the motion is for each one of these graphs. In our data set "Y" is our acceleration whereas "W^2" is omega squared. While we pulled the sensor, logger pro was recording the entire motion of the block. How can you reasonably estimate the uncertainty based on your measurements. 930 Slope Table 7. 1 Click on View on the main menu. However, in lab, sometimes you need another method. Logger Pro. Calculating Uncertainty Using Random uncertainties [Click on Logger Pro and open file Changing Velocity 2 ]. 1. Getting the Data. (Note that 1 cm 3 = 1 mL. Thus, we entered our data into Logger Pro and graph it to obtain the slope which is the value of kinetic friction coefficient. Take your LabQuest®2 to one of the lab computers. Logger Pro will automatically construct a graph of position vs time in both the horizontal (x) and vertical (y) directions. 681 Table 8. Using logger pro allowed us to see the change graphically. constant slope on the velocity vs. Figure 8: The normal force vs. Copy and paste the F vs x graph into your lab along with the linear fit information. 681 -9. So, I would say the graph shows mA slope = 7. Time Graph Curve Fit Parameters A B C Acceleration (m/s) -4. In a new column in Excel, or Vernier’s Logger Pro or Graphical Analysis calculate a new column ln (V t /V 0) and plot ln(V t /V 0) versus t on linear graph paper (linear graph in Excel, Logger Pro or Graphical Analysis). Toassist you,labelthesepointsasseeninFig. 3 +/- 1. measured value, the uncertainty value, and % uncertainty = 100 £ measurement uncertainty smallest measured value: (7) 5. Record and interpret data. Note there are three lines drawn on the graph – the best-fit line, the line of maximum slope, and the line of minimum slope. Use the “half width at halfmaximum”(HWHM)ofthepeakasameasureofthis. Displacement Example #2. Based on the dimensions of the object I didn't calculate the derivative by hand, I just made Logger Pro do a numerical derivative from the data given with respect to time. " Then select "Logger Pro" from the list that pops up on the right. You will be dropping it through a Photogate to measure g. 80665 m/s2. Discard your solutions down the drain. ” 3. A qualitative analysis of the graphs of Propagating Uncertainty: Multiplication and Division; Propagating Uncertainty: Powers and Roots; Propagating Uncertainty in IB Physics Problems; Measurement Uncertainty; Data Tables (explains statistical uncertainty) Logger Pro in IB Physics; The Average Line of Best Fit Equation (Includes Uncertainty of Gradients and Intercepts) This causes a net force of zero and the object stops accelerating. interface, 12. 005 = 0. There is uncertainty in these measurements which are shown to be +/-. Turn on the computer by pressing the space bar. The object had You might need to change the values along the axis. While you can also share the collected data in the form of a video, the lack of filters can be a deterrent. time graph during the free motion of the glider. Time Graph; Repeat steps 3 and 4 for 9 different system masses. Double click on the y-column in the data set (at the top). Double click the pop up box and check Show Uncertainty. To make the points stand out you can check the box next to "point protectors". 2. You can see that Logger Pro calculates the uncertainty of the y-intercept in the two fits very differently. Disconnect the photogate from the interface. We then proceeded to graph an omega squared vs acceleration graph to find their relationship. Compare this new value with the value of the resistance set in the simulation by calculating a Many of these are available in programs like Mathematica, Logger Pro, Excel, and exist in python libraries, so it is no necessary to do them by hand. force acting graph. 65 -9. The program will tell you the values of three parameters, which it calls A, B, C. 16. Set up the apparatus as shown in Figure 1. 2. Experimental Procedure. 2. Was the velocity ever zero? Was acceleration ever zero? What does the slope of the distance vs time graph represent? What does the slope of the velocity vs time graph represent? PART 5: Cart on an Incline the average deviation between them. Period will, of course, be plotted on the vertical axis, since Period is the dependent variable. Double-click the name. He starts on the 5m mark, goes out to 9 meters, then back to 2 meters, and finally catches them at the 4m mark. ! *Uncertainty is due to the values presented by loggerpro. Do not interrupt Setting up the Logger Pro interface. Logger Pro 3. Log on to your NCSSM account. She then asks you to analyze her Logger Pro data and: (1) derive the equations needed to determine how much charge is on each ball as a function of their separation; (2) use the Logger Pro New Column features to calculate the charge, q, on each ball as a function of time to Logger Pro software is used for generating scatter plots, curve fits, and regression statistics that include the uncertainty of the slope. - Logger Pro - 2 Vernier Photogates - Ping Pong Ball - Masking Tape - Plumb Bob - 2 ring stands and 2 clamps - Target - Ramp. Determining the Densities of Lucite, Lead, and Wood 1) Screw down a clamp to the support bracket then fasten the handle of the force sensor to the clamp. 2. The uncertainty of the theoretical value for the acceleration was calculated Computer, LabPro interface box, Logger Pro software, Vernier Motion Detector, PASCO low-friction track with leveling screw, PASCO collision cart with specially designed low-friction wheels, 1-cm and 2-cm spacers, Meterstick, Triple-beam balance (on back tables) . We can use the value of the slope as the density of the metal (Equation 3) which will allow us to identify it later by comparing it with known values of the densities of various metals. time, where slope is ½ (C), or 0. The calculated slope from the fit represents the gravitational constant, and the program also gives a value for the uncertainty in the slope. 2s. In this video, we look at another Here, I am going to manually fit two lines in Logger Pro. The uncertainty of the measurements, m 1 and m 2, were determined by the scale used. New window opens with two blank graphs (position versus time and velocity versus time) and a blank table (time, position, velocity) as shown below. 0 m. Smail into Desmos to find the the point where Buggy 9 and Buggy 8 would collide. To summarize: an experimental measurement should always be recorded along with its uncertainty. 3. If the desired value can be determined directly from one measurement, the uncertainty of the quantity is completely determined by the accuracy of the measurement. We only got the graphs created. Open the Logger Pro program. 7. In Logger Pro, choose Insert/Movie . Explain the significance of the slope of a the slope which equals the density of water ρwater in g/cm 3. 001262 for k and +/-. Chances are, Logger Pro has already plotted a graph of Period vs. These uncertainties are given by the curve fit used in the picture above. 3 cm we found our prediction was off by 2. The data collected from the probes can be displayed in three ways – as a graph, a spreadsheet, or as a single real-time readout. Check your probe to see whether it is labeled “Pressure Sensor” or “Gas Pressure A correlation coefficient is a number between -1 and 1 that measures to what extent two variables are linearly related. To do this, stand about 1 m from the Motion Detector and have your lab partner click . 04 g). It was learned earlier in Lesson 4 that the slope of the line on a velocity versus time graph is equal to the acceleration of the object. Overview: Since the slope and the y-intercept found by the least square method are normally important quantities the value of which we need to determine experimentally, we need a way to estimate the uncertainty (error) inherent to each of them. The VW V-Logger is a compact data logger designed to monitor four or eight (model dependant) vibrating wire sensors. Logger pro developed for us a velocity vs. Add a velocity graph. 8 Use Logger Pro's Analyze-Examine Tool with the data collected by Logger Pro to Quoting your uncertainty in the units of the original measurement – for example, 1. time graph below. 3. Using video capture on the Macbook Pro we were able to record the fall of the coffee filter(s). Using the values obtained for percent uncertainty in mass and diameter, determine the largest percent uncertainty in the experiment. To do this, stand about 1 m from the Motion Detector and have your lab partner click . Write in the correct variable name, INCLUDING A SHORT NAME AND INCLUDING UNITS. Click to begin data collection. I tried to verify it by using my formula and plugging in values. • From the graphs find the acceleration and Calculate the slope of the line. Theory and the examine button to determine the slope at several points: on the way up, at the top, on the way down, and at the bottom. Data: Buggy 9: P= (0. It will appear in a new window within Logger pro. If you have a PC, open a second copy of Logger Pro and open your template graph file you S ometimes Logger Pro will skip data points. Another way of saying that is that the y-intercept is not well determined by Data Set 1. Plot the applied force (the added weights) vs the displacement and do a linear fit to find the slope of the line. mov and *. Configure Logger Pro for your experiment. 2. Its about a ten percent difference. The resulting final temperature in our calculation was 75 ° C. 10. 2541 is the result we wanted. What is the uncertainty in the slope we found? What is the uncertainty in the y-intercept? Logger Pro or Logger Lite, or you can retrieve previously collected data from the LabQuest to either program. The dots represents the approximate location of the coffee filter(s) at some time. Arrange windows. In this Distance vs. ) experimental data. If the Lab Pro power cord is not plugged in do so now. Calculate the resistance value by taking the slope of the graph and multiplying by 1000. Record the slope in the data table (a velocity in m/s). In the new window that appears, select mx+b Linear on the left. Detailed instructions for using them are given below. 5 amps. sketched in response to questions Q 2 and Q 3 with the corresponding plots drawn by Logger Pro. com Logger Pro calculates the uncertainty of the parameters in fitted lines and curves using all of the data points by means of standard curve fitting algorithms. Repeat steps 10 and 11 for test tubes 2, 3, and 4 i. If you are using the slope to determine some physical quantity (eg, the acceleration from a graph of velocity vs time) then the standard deviation of the slope is a reasonable 67% confidence level uncertainty. 2. 20. Collect the data for 200 seconds while agitating the tube during collection. 005m and uncertainty for the time as 1/60s, yet the uncertainty of the slope didn't change. When asked “Do you want to save the changes you made slope and intercept in your hand written data table of the best-fit line to the velocity-time graph for each trial. We also used a curve fit to find the slope which will help us to eventually find the acceleration since we now know the velocity. We had to store and analyze each run in order to get the average force exerted. Change the “Short Name” to the symbol for that variable. Press Start/Stop to initiate data collection. To get max and min lines on the graph: On the toolbar, select Analyze>Model. [4points]Linear equations have the general Using Logger Pro, prepare a graph (Graph 1) and obtain the linear density, , of the string from a linear regression. Insert the video into LoggerPro. Save this file and be able to access it at school. Actually, I did this analysis 5 times before I realized a mistake I was making. Wait for at least 1 hour before collecting data to allow for the sensor “warm-up”. A perfect correlation with positive slope is shown by a +1 correlation, while a negative slope is shown by a -1 correction. The plan was to create instantaneous velocity graphs that we could use to define acceleration, figure out what the slope of the x vs. Graph 5: Processed Data Bar Graph Graph 6: Processed Data Line Graph Include uncertainties, sources of uncertainty, and how to minimize uncertainty – 4 points Explore shortcomings of the experiment – 3 points Analyze the data with your mathematical model correctly in order to find a value for the spring constant of the spring – 4 points sure you paste the data into the Logger Pro file into the correct columns. This will be the uncertainty in your k. A glider released from rest on a sloping air track accelerates at a nearly uniform rate. The data out past 100 have a very fuzzy (large uncertainty) y-intercept value because a little change in the data will change the intercept a lot. Write down the value of A and its uncertainty with units to 3 significant figures. I just made a guess at the values. 9 ± 0. Finding the Order With Respect to Crystal Violet: 1. Sketch graphs = label units on axes, sketch in data points or trends (you do not need #’s on axes, points don’t need to be exact) Write the equation of the line (curve) with Connect the Logger Pro unit via USB to the Mac. I. On the Mac start the Logger Pro program. 2. The slope for this graph is approximately 20cm/seconds (says 0. Perform a motion analysis for the fall. Use the analyze menu or (R= button) to find the slope of the velocity time graph. 2. If you are using the slope to determine some physical quantity (eg, the acceleration from a graph of velocity vs time) then the standard deviation of the slope is a reasonable 67% confidence level uncertainty. 0 III. Recorded with https://screencast-o-matic. Enter the slope and its uncertainty in Table 2in your laboratory workbook The velocity of a falling object is given by the following kinematics equation: >=−B?+> = The equation of a straight line is: <=FG+H Compare these two equations and answer the following QUESTION 8:What is the value of g and its uncertainty from the velocity vs time graph? (uncertainty. Move the pointer to the origin’s position in the video. Using the values obtained for percent uncertainty in mass and diameter, determine the largest percent uncertainty in the experiment. The method is implemented as a function in the Excel spreadsheet and as an analysis tool in Logger Pro. Set up motion sensor with logger pro; Release the hanger and the cart and record the data of its motion; Record the acceleration by calculating the slope of the resulting Velocity vs. Save your Graph 1 to a pdf file. Our graph shows four different lines because the experiment was ran four times each time with different blocks. In this experiment, the trigger that initiates the taking of data will be provided by the ramp power supply to CH 1 on the Lab Pro as the reset/ramp switch is set to the ramp position. Open Logger Pro 2. Here is a plot for the iPhone accelerating in both the y direction and x direction. 1. If the object is moving with an acceleration of +4 m/s/s (i. of its slope and vertical intercept. Do the same for your Y column for your dependent variable. or 10. This force generally increases with velocity of the object. 3. The distance, measured from one edge of a black band to the same edge of the next band, is 5. 1. Logger Pro found the linear fit which provided us with all the variables required and also displayed us with the correlation rate of the data. ! 2. 379 which is approximately ±1 So the gradient is 4 ± 1 °Ckg Logger Pro Modeling, Fitting and Linearization LivePhoto Physics with Video Analysis C - 4 be described by an analytic function. The way we generate the graphs is by a little Logger Pro magic. Constant accelerating force Measure the mass of the glider and record this value, m g, on your spreadsheet clearly labeled with appropriate units. What additional information will you need to Logger Pro Graphing Instructions Follow these instructions to enter data into Logger Pro 1. All slopes are negative as the temperature is a function of time, decreasing steadily. 33 and our proprogated uncertainty for d is 0. 12. We'll leave that for now. Logger Pro 3 This computer program is used with LabQuest 2, LabQuest, LabQuest Mini, LabPro, or Go!Link. Using your algebraic expression for the slope from step 1 and your numerical value from Logger Pro for the slope in step 2, get +Ato correct significant figures. Read here what the CMBL file is, and what application you need to open or convert it. Each click places a point locating the x and y coordinates of your object (relative to the origin), and advances the video by one frame. The slope and y-intercept of the best-fit line Using the position of each plot, Logger Pro generates two separate graphs, each with the x and y positions of each ball. 129, and the derivative of the Cx 2 is related to the slope of velocity vs. The slope of graph m=0. 5 coffee filters. Add one drop of catalase solution to test tube 1 and put the stopper into the test tube and hit collect on the Logger Pro Software. Logger Pro is a program by Vernier Software to take measurements via electronic probes connected to an analog-to-digital interface box, described in last week’s column. Click on the "options" However, even without entering the uncertainties for position and time in the columns, logger pro generated an uncertainty on the slope of the graph. 14. $\endgroup$ – Ryuky Mar 25 '13 at 15:01 Write labs in Logger Pro or export data to Word or Excel. Begin by locating or creating a video of a projectile (or any moving object). In order to later solve the kinetic energy lost, we analyze, in Logger Pro, the slope of each ball before and after the collision. 68 meters), and the tool to make points in video analysis was used to determine slope and therefore velocity of the swing. 2541 is the result we wanted. Describe the position from 0s-1s. To do this, stand about 1 m from the Motion Detector and have your lab partner click. Copying data and graphs from Logger Pro; Experiment Examples; Appendix: Inserting Pictures, Graphs, and Data in AppleWorks; Built-In Experiment Files. Logger Pro Best-Fit Instructions with Uncertainty 1. Step 5. Logger Pro is the software that controls the interface and displays the results of the temperature sensor measurements. If the Logger Pro® program is not running on the computer, start it by double clicking on the appropriate icon on the desktop. The finite difference approximation to the dW/dt is ##\Delta W/\Delta t##. Procedure: 1. Change the short name to the first letter of what you typed in name. If a student wants to count an average of 50 events per sample, how long should the sample time be? 3. Double click the graph in the white space and add a Title. If the point mass (a bob) is pulled off the equilibrium position and released, the pendulum bob swings around this Prepare the computer for data collection by opening “Average Velocity Lab” from the experiment files of Logger Pro. Record the slope of the graph below Data Table 2. Then you can drag over a small straight region just after the collision and get the slope there. Measure the Average Period using the graph on the computer screen and the Logger Pro Statistics functions. Connect motion sensor to the Lab Pro interface and computer. State the algebraic expression for the (slope). You should notice two meter sticks in the video end to end on the floor at the right of the person. Expand the video window to fit most of the screen. Calculate the percent uncertainty in the diameter of the spheres using equation 7. 15. also appears with slope and intercept values. 641 17. Mac OS X users can fi nd the icon in the Logger Pro folder created in Applications during installation. In the lower right-hand corner of the video window, click on the button with the red dots to enable video analysis. Calculate the concentrations of NaOH after dilution. 65s and 2. Chances are, Logger Pro has already plotted a graph of Period vs. Design a procedure to drop one coffee filter and combinations of coffee filters below the motion sensor in order to determine the terminal velocity of the falling filter. Click on this icon: 2. filters respectively. ** [NOTE: By examining the setup of the system (see comments above), we can see Because we used logger pro for this, raw data was not collected Graphical Representation for the motion sensor portion of this experiment. ” 3) Using the data in Excel, create a formula in the blue cell E6 to calculate the time the car spent in the gate. a) Thepointofpeakintensity. 93768 m/s/s Logger pro acceleration 0. Observe how repeated physics measurements follow a Gaussian distribution III. In the end we concluded that by using Logger Pro, Lab Pro, and motion detector, we were able to figure out the acceleration and velocity by using graphs found from Logger Pro. (The software is not free, although a free trial version can be used for 30 days. Enter the abbreviation for the units. 1995 because the motion sensor records distance in meters). Using the provided data and Logger Pro, plot V vs. You can use position vs time if you want and use a quadratic fit. The Experiments folder will appear, select the Probes & Sensors folder, then the Photogates folder and finally the “One Gate Timer” file. Objectives At the end of this activity, you should: 1. In this lab, the cupcake is falling in free fall towards the motion detector, in which the data of position and the time will be recorded in the logger pro. First indicate which portion is to be used by dragging across the graph to indicate the starting and ending times. atm slope 0. If Logger Pro is running with someone else’s data, click FILE, “New”. Position Vs. Uncertainty in the gradient: minimum and maximum fit lines; Applications and skills: Linear fit in Logger Pro; Fitting maximum and minimum fit lines manually in Logger Pro; Download the falling volley ball video and import it to Logger Pro. The slope of graph m=0. Printing Graph With Logger Pro® 1. Methods Logger pro, laptops, camera, tripod, the trajectory in the form of an inclined plane, the balance of o'haus, hollow cylinder material in the form of iron. Start the Logger Pro program and open file: Probes & Sensors\Photogates\Pulley Detailed instructions for video analysis using Logger Pro. The remaining instructions will teach you to work with Logger Pro. Save it to your computer. Sonic ranger and logger pro software created graphs. Logger Pro can fit a straight line to a portion of your data. time graph. Call airport for barometric reading before and after experiment to get measure of environmental pressure drift. 5. While you can also share the collected data in the form of a video, the lack of filters can be a deterrent. (SKIP TO 8 FIRST AND COME BACK) Close Logger Pro file. For example, if your minimum, average and maximum values are 9. Print graph with Logger Pro 1. time graph. The relative uncertainty gives the uncertainty as a percentage of the original value. Calibrate the force sensor. Prepare the computer for data collection by opening ”Boyle’s Law” from the Chemistry with Computers experiment files of Logger Pro. You will now have a (k) Analyze your data using the Logger Pro Curve Fit tool in the Analyze menu to fit your plot of Fcoul vs. Open “Logger Pro” program from desktop. There will almost certainly be a question on the midterm or final exam in which you need to make a graph and find the slope. If I then write down my result as 9. We strongly recommend that you save all the work you do during the lab in case you need to review it later. 1. We found the above data values by using Logger Pro. These angular velocities are those of the sensor and not of the disc. II. 2 V, but internal amplifiers may increase this to 10 V or more. Open!Logger!Pro!in!the!Logger!Pro!3!folder!found!in!Applications. Draw arrows to complete the sentences below: The X direction is … The Y direction is … Horizontal motion analysis These CMBL files are also called Logger Pro data files but are generally Only special conversion software can change a file from one file type to another. Connect the probe tips of channel 1 to the output that is proportional to \(V_{acc}\) as show in Fig. I used the “Cut and Paste” technique to get this graph from Logger Pro© to Here we plotted our terminal Force vs time and use the power fit function on logger pro. Note: The fi rst time that you run Logger Pro with your LabPro interface, a message may appear notifying you of an update to the LabPro operating system. Once we found the slope for both buggys, we plugged the formula with the position given to us by Mr. Bandgap references are often actually a complex integrated circuit and usually have an output voltage of 1. This coefficient is equal to 0. 1908 for n. 2). To launch "Logger Pro," press the windows button and begin to type, "Logger. each Logger Pro “40_Match” file (all three) and try to reproduce the graphs with the appropriate motion as shown below. Are the slopes the same? Slope for ring _____ Slope for disk _____ Investigation 3. • Click “collect” and release the cart. Mass. 2. Remember to use an equation ’ ! Logger Pro Instructions. Also include an estimate of the uncertainty in your measurement. When an object obstructs the beam of a photogate the timer starts, when the obstruction is removed, the timer stops. Logger Pro software ~10 F non-polarized capacitor. Uncertainty in the gradient: minimum and maximum fit lines; Applications and skills: Linear fit in Logger Pro; Fitting maximum and minimum fit lines manually in Logger Pro; Download the falling volley ball video and import it to Logger Pro. Repeat steps 4 and 5 nine more times, for a total of 10 trials. 8. The spring will hang at some height (H) and the end of the spring will have some height (y) to the motion sensor below. This becomes especially helpful when teach- ing algebra-based physics courses (see Fig. By increasing the current by 0. time graph is zero is the object being measured was held at a single position away from the sensor. 93, and 10. 2. force acting graph. Step 5. Note: If you know how to do modeling (or manual fitting) you can select values. 2541 is the result we wanted. mω 2 r in Logger Pro and check if a linear fit with a unity slope is consistent with the data by counting the data points that don't fit on We took the recorded data and used logger pro to try and find a relationship between the centripetal acceleration and the angular frequency omega. Open movie from file => open => sample movies => basketball shot => basketball shot. 07 g, the uncertainty is 0. 8 So far LoggerPro has been used to plot the points from an experiment, the next step is to plot the curve that fits these points. Record this Average Period in the Pendulum Data Table. Drawing a best-fit line to graphical data and determining the slope of the best-fit line The deliverable for this practical is an abbreviated write-up including the following sections: DATA, ANALYSIS, UNCERTAINTY, and CONCLUSIONS. Compare your result ( 1/Slope Value) with the accepted value for the acceleration due to gravity (g=9. Enter your data into the X column. To take the data, one partner holds the microphone above the wine glass while the other partner rotates his/her finger around the rim of the wine glass to achieve the “singing wine glass sound”. The Lab Pro was connected to Logger Pro on the laptop and it helped measure the position of the buggys by using ultrasound. 8. Logger Pro File – Under the File menu select Open. 8 m/s 2). Copy and paste your best attempts (one each) into your lab report (a word document. 5. Using Logger Pro, produce a graph of your motion when you walk away from the detector with constant velocity. . The masses of different volumes of alcohol were measured and then plotted (using Logger Pro). Have Logger Pro plot velocity vs. In Logger Pro, you'll need to open an experiment file that will collect the data you need. Make sure that the pulley is stable and well aligned by using the rubber stoppers. This order MUST be followed to ensure all the data can be recorded. Understand the different types of uncertainty involved in a measurement II. The velocity of each cart can be measured directly using Logger Pro and photogates. Go to File in the menu and click on Open. Conclusion: after calculating our predicted distance to be 78. 12, 9. How to use Logger Pro in high school (especially International Baccalaureate) sciences to make good graphs for lab reports. Solution. 2. PC with Logger Pro software, 11. grounding wires & wrist strap ground plate Logger Pro software Technical details Before attempting to measure the charge on a metal ball, familiarize yourself with the Vernier equipment and Logger Pro software. 1 g or 3. With the correlation rate students attempted to fix their correlation data to be at least 5% correct by changing the made up mass of the tray to increase the correlation rate. Gas Sensor is connected to the Vernier Lab Pro interface and that Lab Pro is connected to the computer. Click on the Statistics button and pick the Mean or Average option. With advancements in technology and reduction in tolerances, knowing how to determine and evaluate the resolution of measurement equipment is becoming increasingly more important. Print out the graph. Click on this icon: 2. Logger Pro will calculate the velocity and acceleration of the ball and the elastic potential energy of the spring and the kinetic energy of the ball, all in real-time. Using the left button on the mouse, click on the Mass & Volume Post-Lab Using Logger Pro, Excel or a graphing calculator, plot class data for your metal type (orange or shiny). 709 - 2. These angular velocities are those of the sensor and not of the disc. 001262 for k and +/-. Collecting Data. The reasons for this assertion are outlined in the following tables where we describe how Logger Pro software can be used for mathematical data analysis. Determine the slope of the line for the ring and the disk. Shutdown and save the Logger Pro exp. On the right, enter slope and intercept values that are close to (but not exactly) the best fit values. Practice how to use the computer software. Rename the X column to your independent variable. 2MeasurementandUncertainties of the lab manual (steps shown method of finding the slope and intercept, with associated uncertainties, of the line giving the ``best fit'' to your data. our propagated uncertainty for x is +/-0. Copy and paste a sample plot of one of your Logger Pro fits into your lab report. The slopes were then recorded: a steeper (greater) slope means it evaporated faster. Connect the two voltage probes to channel 1 and 2. The computer will detect the LabQuest and Open "Linear Fit Options" from the Logger Pro menu, and then select "5 significant figures" and "Show Uncertainties". logger pro slope uncertainty


Logger pro slope uncertainty