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Procedure1 First,measure the weight of the object, After that adjust the position of the centripetal force indicator. Finally measure the radius distance and record it in Data Table 1. 2 Now attach the mass (M) to the spring and then add the calibration weight. Then line up the mass on the side post. After that level up the stretched indicator. 3. Remove the calibration weight before rotating, then try to spin the rotor between your thumb and fingers until the red mark level with the indicator. Keeb the red mark level with the indicator when you are measuring. 4.Then, at the same time, we will revolve the mass about 10 revolutions and measure the time using a stopwatch. Then, record it on table 1. 5.Step 4 will be repeated three times. Following that, we must compute the time per revolution of the mass for each trial and determine the time per 10 revolutions of the five trials. Data Table 1: to determine period of revolution for computation of centripetal force. Constants: Fc (N) 0.4905 M (kg) Trial 1 2 3 4 5 T(s per revolution) 1.1700 1.2000 1.2500 1.2500 1.3000 T^2 (r/s)^2 1.3689 1.4400 1.5625 1.5625 1.6900 r (m) 0.1550 0.1600 0.1700 0.1800 0.1900 0.108 Constants: M(g): 108 r (m): 0,205 Trial 1 2 3 4 5 T(s per revolution) 0,8000 0,9000 0,9200 1,0200 1,2000 T^2 (s^2) 0,6400 0,8100 0,8464 1,0404 1,4400 Fc (N) 1,2753 1,0791 0,8829 0,6867 0,4905 1/Fc (1/N) 0,7841 0,9267 1,1326 1,4562 2,0387 This is the data measured for lab 6 in PH214 by Gal Co 1,6000 1,4000 T^2 (s^2) 1,2000 1,0000 0,8000 0,6000 0,4000 0,2000 0,0000 0,5000 Slope Slope Uncertinty R Squared F Statistics Regression Sum of Squares 0,60745797 0,045286685 0,983599832 179,9249604 0,368418601 0,185293492 0,060871641 0,045250675 3 0,006142871 y-intercept x-intercept Error of Residual Degree of Freedom Residual Sum of Squares 0,7000 0,9000 0,7000 0,9000 1,1000 1,3000 1,5000 1/Fc (1/N) 1,7000 1,9000 2,1000 2,3000 Constants: Fc (N) 0,4905 r (m): Trial 1 2 3 4 5 T(s per revolution) 1,2000 1,5000 1,6000 1,8000 2,0000 T^2 (r/s)^2 1,4400 2,2500 2,5600 3,2400 4,0000 M (kg) 0,1800 0,2310 0,2820 0,3330 0,3840 0,17 This is the data measured for lab 6 in PH214 by Gal Co 4,5000 4,0000 3,5000 T^2 (s^2) 3,0000 2,5000 2,0000 1,5000 1,0000 0,5000 0,0000 0,1500 Slope Slope Uncertinty R Squared F Statistics Regression Sum of Squares 11,98039216 -0,68047059 y-intercept 0,862670823 0,251103902 x-intercept 0,984683273 0,139128238 Error of Residual 192,8643017 3 Degree of Freedom 3,73321 0,05807 Residual Sum of Squares 0,2000 0,2000 0,2500 0,3000 M (kg) 0,3500 0,4000 Constants: Fc (N) 0,4905 M (kg) Trial 1 2 3 4 5 T(s per revolution) 1,1700 1,2000 1,2500 1,2500 1,3000 T^2 (r/s)^2 1,3689 1,4400 1,5625 1,5625 1,6900 r (m) 0,1550 0,1600 0,1700 0,1800 0,1900 0,108 This is the data measured for lab 6 in PH214 by Gal Co 1,8000 T^2 (s^2) 1,7000 1,6000 1,5000 1,4000 1,3000 1,2000 0,1500 Slope Slope Uncertinty R Squared F Statistics Regression Sum of Squares 8,375121951 0,092634146 y-intercept 1,292957863 0,221714943 x-intercept 0,933270875 0,037024679 Error of Residual 41,95787993 3 Degree of Freedom 0,057516988 0,00411248 Residual Sum of Squares 0,1550 0,1600 0,1650 T^2 vs r 0,1650 0,1700 0,1750 r (m) 0,1800 0,1850 0,1900 0,1950 Your Name, Partner’s Name Room # & Table # Date of Experiment Instructor: Your Instructor Title of Lab – Example Template Introduction The introduction should demonstrate an understanding of what the experiment is trying to accomplish, the key concepts/theory being covered. A paragraph is generally sufficient for this section. Relevant equations should be included here. Be sure to use the equation editor whenever you include an equation that is typeset properly. Avoid having it inline in a sentence, and instead reserve a full line for the equation. For an Atwood machine, we would describe the acceleration in terms of the masses attached to the system, and Earth’s gravitational pull on those masses. This model is given by: |𝑎| = 𝛥𝑀 𝑔 𝑀1 + 𝑀2 Be sure to describe what each variable means. In this example we would declare that ΔM is the difference between the two masses, and M1 and M2 are the individual masses, and g is earth’s gravity. Procedure The procedure should show an understanding of how the experiment was done and be detailed enough that the results of the experiment could be reproduced. If appropriate, it should show a picture of your experimental setup. Be sure to include a diagram (or schematic) which helps to detail what the experiment is, and how it is performed. You may assume your reader is familiar with the lab equipment and software, so don’t include fine details like “open file ____”, or “press the ____ button”. The procedure must be written in your own words, and not copied from the lab manual! Depending on the number of pictures or diagrams, the length of this section is generally between half a page and one and a half pages. This section could always be written in bullet points. When including figures, be sure to discuss what is in the image, and reference it. Figures should appear after you describe it. For example, you may have constructed an Atwood machine which consists of a pulley and two weights. These two weights experience the force of gravity based on the equation given in the introduction (See Figure 1). Figure 1. Diagram of the Atwood machine showing two weights under the influence of gravity. Data & Analysis This section is typically the longest part of your report and requires the most work. Begin with discussing any qualitative observations made during that lab that demonstrate understanding of the experiment. Data tables with all measurements should be included. An example of a good data table is shown in Table 1. These need to be clearly labeled with proper units and a reasonable number of significant figures. Issues with significant figures typically occur when a calculation is done in a spreadsheet application. Table 1. Example of data for an Atwood machine from an experiment described in the procedure. M1 (g) 100 200 300 400 450 M2 (g) 900 800 700 600 550 Acceleration (m/s2) 7.5 6 3.7 1.9 0.81 Uncertainty (m/s2) 0.1 0.1 0.05 0.05 0.02 Include graphs with axis labels that have the correct units. Scale the x- and y-axis to maximize the display of the data. Include the best-fit line’s equation. The data from Table 1 is then shown graphically in Figure 2. Discuss the meaning of the results and particularly how it corresponds with equations presented in the lab. In this case, we want to see that the experimental results compare well with the accepted value for g, which is 9.81 m/s2. Figure 2. Example of Atwood machine results which has tabulated results listed in the previous table. By identifying the connection between the fundamental equation presented in the introduction and our best-fit line, and using the linest function to obtain a slope uncertainty, we report our measured value for g as (9.7 ±0.4) m/s2. This is approximately 1% from the accepted value and falls within our range of uncertainty. If you perform a calculation multiple times (such as if you had multiple measurements of g), add at least 1 example calculation using an equation editor. This would look like this: 𝑚 𝑚 |97 2 − 9.8 2 | 𝑠 𝑠 100% ≈ 1% 𝑚 9.8 2 𝑠 With the results of the experiment discussed, this section finishes with a discussion of uncertainty, and the sources of error that impacted the validity of your results. Be specific, avoid using vague terms like “human error.” It may be that you somehow did the experiment incorrectly and did not notice until it was time to leave. In any case, you should explain what the mistake was, and why it led to the results you obtained. Conclusion The conclusion should summarize the goals of the lab, and the work you did to achieve those goals. In your conclusion, be sure to avoid vague language and overly general statements. Avoid statements like “We proved the conservation of momentum!” or “our data was very good!”. More appropriate statements are “We demonstrated that conservation of momentum holds for elastic and inelastic collisions” or “Our data came within 5 percent error of theoretical values, which is in the bounds of our uncertainty.” This should be about one paragraph. In addition, the conclusion should include changes you would make to the experiment, and two questions you have not answered in the lab. The point of the questions is that scientific research does not end at the conclusion of an experiment: researchers continue to look for new applications and questions raised by their results. Notes on using this template Feel free to use this template to write out your report. Be sure to erase the contents of each section and rename the file. It must be your own document in the end! In the event you find an equation or mathematical expression fits better inline with a sentence, be sure to use exponential formats, and always use proper scripts. Never use computational exponents for scientific writing. An example of what not to do is f = 7.4e-8. Instead, you should type out f = 7.4 x 10-8. Instead of a x b/c, type out a·b·c-1. An easy way to make superscripts and subscripts in google docs is to use the keyboard shortcuts. To superscript use ctrl+. (control/cmd + period). To subscript used ctrl+, (control/cmd + comma). zuar F re T- (41²m T: ) (47²rml/ F m T: (41) T² r m F examp! 1 Tral E F T? VF ĦF 1 2 3 4 21 22 23 24 Slope 0.6074579705 0.1852934918 y-intercept Slope Uncertinty 0.0452866845. 0.06087164071 x-intercept R Squared 0.9835998325 0.04525067549 Error of Residual F Statistics 179.9249604 3 Degree of Freedom Regression Sum of Squares 0.3684186011 0.006142870898 Residual Sum of Squares 25 26 27 28 29 + Fc M

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