Lab 6 Physics (1)

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Siena College - General Physics 110 Circular Motion Lab NAME: David Rivera GROUP MEMBERS: Derek & Steven Learning Goals 1. In Section I, you will design an experiment to investigate the relationship between the speed of an object moving in a circle and the centripetal force exerted on the object. 2. In Section II, you will design an experiment to investigate the relationship between the speed of an object moving in a circle and the radius of the object’s circular path. 3. In Section III, you will design an experiment to investigate the relationship between the speed of an object moving in a circle and the mass of the object being swung in a circle. Section I - In this part of the lab, you will design an experiment to investigate the relationship between the speed of an object moving in a circle and the centripetal force exerted on the object. Equipment: Tube, string, mass hanger, various masses, rubber stopper, washers, stopwatch, scale, masking tape. Using the available equipment, work with your group to design a clear and specific experiment that will allow you to investigate the relationship between the physical quantities of speed and centripetal force for an object moving in a circular path at constant speed. Below are some important questions that you will want to discuss with your group when developing your experiment. 1. How can you use the available equipment to have an object move in a circle while… a. …changing the centripetal force exerted on the object? b. …maintaining the radius of the object’s circular path and the mass of the object? 2. How can you measure the object’s speed? What other physical quantities may help you indirectly measure the object’s speed? What mathematical representations can you use? 3. Which physical quantity do you want to purposefully vary from one trial to the next (the independent variable) and which physical quantity do you want to investigate (the dependent variable) based on the changes you make to the independent variable? 4. How can you change the centripetal force from one trial to the next? a. Where does this force come from? Sketch a force diagram for the object to help answer this question! b. How can you swing the object to ensure that you are maintaining a consistent centripetal force throughout the same trial ? 1
Siena College - General Physics 110 Circular Motion Lab 5. Which physical quantities do you want to keep constant from one trial to the next? a. How can you swing the object to ensure that these quantities stay (mostly) constant? b. What value will you choose for each quantity that you are trying to keep constant? c. Why are you choosing the constant values that you did over other constant values? 6. What data will you record in order to investigate the relationship between speed and centripetal force? a. How will you collect this data? b. How many times do you plan to repeat each trial in your experiment to ensure consistency in your data? c. How many trials will you need to run so that you can confidently determine whether or not changes in the centripetal force are responsible for changes in the speed of the object? d. How will you know if any of your data is compromised? If this is determined to be a strong possibility, what will your group do with the compromised data? 7. How will your group analyze and graph your data so that you can make a confident statement as to what type of relationship (if any) exists between the speed of the object and the centripetal force being exerted on the object? Section II - In this part of the lab, you will design an experiment to investigate the relationship between the speed of an object moving in a circle and the radius of the object’s circular path. Equipment: Same as Section I. Using the same available equipment and a line of questioning similar to that provided in Section I, work with your group to design a clear and specific experiment for Section II that will allow you to investigate the relationship between the physical quantities of speed and radius for an object moving in a circular path at constant speed. Section III - In this part of the lab, you will design an experiment to investigate the relationship between the speed of an object moving in a circle and the mass of the object being swung in a circle. Equipment: Same as Section I. 2
Siena College - General Physics 110 Circular Motion Lab Using the same available equipment and a line of questioning similar to that provided in Section I, work with your group to design a clear and specific experiment for Section III that will allow you to investigate the relationship between the physical quantities of speed and mass for an object moving in a circular path at constant speed. Purpose & Procedures Briefly summarize, in your own words, the objective(s) of your experiments. Describe your experimental procedures in enough detail that another group could recreate your experiments exactly -- not just do experiments similar to yours. State what you will measure in your experiments as well as the independent and dependent variable(s). Remember not to vary more than one quantity at a time. Include a detailed sketch of your experimental setup(s). Scientific Ability Missing Inadequate Needs Improvement Adequate B1 Is able to identify the phenomenon to be investigated No phenomenon is mentioned. The description of the phenomenon to be investigated is confusing, or it is not the phenomena of interest. The description of the phenomenon is vague or incomplete. The phenomenon to be investigated is clearly stated. B2 Is able to design a reliable experiment that investigates the phenomenon The experiment does not investigate the phenomenon. The experiment may not yield any interesting patterns. Some important aspects of the phenomenon will not be observable. The experiment might yield interesting patterns relevant to the investigation of the phenomenon. B3 Is able to decide what parameters are to be measured and identify independent and dependent variables The parameters are irrelevant. Only some of the parameters are relevant. The parameters are relevant. However, independent and dependent variables are not identified. The parameters are relevant and independent and dependent variables are identified. 3
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Siena College - General Physics 110 Circular Motion Lab A7 Sketch No representation is constructed. The sketch is drawn, but it is incomplete with no physical quantities labeled, or important information is missing, or it contains wrong information, or coordinate axes are missing. The sketch has no incorrect information, but has either no or very few labels of given quantities. Subscripts are missing or inconsistent. The majority of key items are drawn. The sketch contains all key items with correct labeling of all physical quantities that have consistent subscripts; axes are drawn and labeled correctly. In section 1 experiment, the purpose of the is to investigate the relationship between the speed of an object moving in a circle and the centripetal force exerted on the object. In the experiment you will use a string, a weight, a plastic tube, mass holder, and a timer. First you will be cutting a piece of the string and tying it to the weight. To keep the radius the same you will measure the string and cut it at 42.5cm. Next you will pull the string through the tube and tie the mass holder onto the other end of the string. Then you will be using the timer to measure the amount of time it takes for the weight to do one full revolution. You will spin the mass by holding the tube and spinning the tube. Throughout the experiment the mass and radius will be kept the same. For the different speeds we will be measuring revolutions per second. Then you will calculate the revolutions per second and record it in the data table. You will be repeating these same steps for faster speeds, at the same time you will be adding more weight onto the mass holder, in order to have proper counterweight. In section 2 experiment, the purpose of the experiment is to investigate the relationship between the physical quantities of speed and radius for an object moving in a circular path at constant speed. In the experiment you will use a string, a weight, a plastic tube, mass holder, and a timer. First you will be cutting a piece of the string and tying it to the weight. Then mark 5 different points on the string in order to signify the different radii to test at. Next you will pull the string through the tube and tie the mass holder onto the other end of the string. You will start at the mark closest to the weight, then you will record the time it takes for it to do 10 revolutions, once that radius is complete move on to next radius marking. Repeat the last step until all the markings have been tested. They calculate the revolution per second and the speed of the weight and record onto a table. In section 3 experiment the purpose of the experiment is to investigate the relationship between the physical quantities of speed and mass for an object moving in a circular path at constant speed. In the experiment you will use a string, a weight, a plastic tube, mass holder, and a timer. First you will be cutting a piece of the string at the 40 cm mark and tying it to the weight. Next you will pull the string through the tube and tie the mass holder onto the other end of the string, with a set amount of weight on it. Then you will be using the timer to measure the amount of time it takes for the weight to do one full revolution. You will spin the mass by holding the tube and spinning the tube. Once you start recording count 20 revolutions then record the data. The next 4
Siena College - General Physics 110 Circular Motion Lab trial add a washer to the string on top of the weight at the end of the string for added mass. Repeat the previous steps and repeat them for a total of 5 trials. Force Diagram Sketch a force diagram for the object when the object is being swung around in a circle. Remember to label each force properly. Briefly describe what the force diagram represents about the motion of the object. What is the direction of the net force if the object is being swung in a circle at a constant speed and constant radius? How are the values of the centripetal force and tension force in the string related to one another? Scientific Ability Missing Inadequate Needs Improvement Adequate A5 Force Diagram No representation is constructed. Force diagram is constructed, but contains major errors such as incorrect, mislabeled or not labeled force vectors, incorrect length of vectors, incorrect direction, extra incorrect vectors are added, or vectors are missing. Force diagram contains no errors in vectors, but lacks a key feature such as labels of forces with two subscripts or vectors are not drawn from a single point, or axes are missing. The force diagram contains no errors and each force is labeled so that it is clearly understood what each force represents. The force diagram shows that there’s a force present pulling the object down past the tube, which is caused by the mass holder. This prevents the object from going flying. There is a force present pointing away from the tube which is caused by the object tied at the other end of the tube. Then there’s also the direction in which the object is moving in. The direction of the net force is that it would be heading in the direction towards the center, from the object to the tube. The values of the centripetal force and tension force in the string are related to each other because the magnitude of the centripetal force of the object is equal to the tension. Data Tables 5
Siena College - General Physics 110 Circular Motion Lab Record all of the data you collected in your experiments in neat, easy to understand tables with units included . A separate table should be produced for each of the relationships between physical quantities that you are investigating. Take into consideration the number of trials that your group thinks should be run. How did you calculate the speed of the swinging object by using the data you collected? Include at least one step-by-step example of your calculations (if the same calculation was repeated throughout the entire experiment). Scientific Ability Missing Inadequate Needs Improvement Adequate G4 Is able to record and represent data in a meaningful way Data are either absent or incomprehensible. Some important data are absent or incomprehensible. All important data are present, but recorded in a way that requires some effort to comprehend. All important data are present, organized, and recorded clearly. A9 Mathematical No representation is constructed. The mathematical representation lacks the algebraic part (the student plugged in the numbers right away), has the wrong concepts being applied, signs are incorrect, or progression is unclear. No error is found in the reasoning. However, there may not be fully completed steps to solve the problem or one needs considerable effort to comprehend the progression. No evaluation of the math in the problem is present. The mathematical representation contains no errors and it is easy to see the progression from the first step to the last step in solving the equation. The solver evaluated the mathematical representation. Section 1: Radius(m) Counterweight(g)Time(s) Rev per sec Speed(m/s) Centripetal Force(N) 0.425 150 16.56 1.208 3.19 1.47 0.425 250 14.43 1.386 3.98 2.45 0.425 350 10.90 1.835 4.89 3.43 0.425 450 9.58 2.088 5.56 4.41 0.425 550 7.53 2.656 7.12 5.39 Section 2: Radius(m) Counterweight(g)Time(s) Rev per sec Speed(m/s) .10 100 4.78 2.09 1.28 .20 100 6.62 1.51 1.90 .30 100 7.65 1.31 2.45 .40 100 8.23 1.22 3.07 .50 100 9.77 1.02 3.24 Section 3: Radius(m) Counterweight(g)Time(s) Rev per sec Speed(m/s) .40 57 14.57 1.37 3.44 .40 109 17.00 1.18 2.96 6
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Siena College - General Physics 110 Circular Motion Lab .40 170 22.07 0.91 2.27 .40 215 23.85 0.84 2.10 .40 259 28.17 0.71 1.78 Graphical Representations Include separate graphs to further represent and analyze the relationship between each pair of physical quantities that you are investigating (ex: speed vs. centripetal force, etc.) . Remember to include a trendline to fit your data as this is an important step towards being able to analyze your data and finding a relationship between the quantities being graphed. Scientific Ability Missing Inadequate Needs Improvement Adequate A11 Graph No graph is present. A graph is present, but the axes are not labeled. There is no scale on the axes. The data points are incorrectly connected to each other instead of using an appropriate trendline. The graph is present and the axes are labeled, but the axes do not correspond to the independent and dependent variable OR the scale is not accurate. The data points are not connected to each other, but there is no trendline either. The graph has correctly labeled axes, the independent variable is along the horizontal axis and the scale is accurate. The trendline is correct. Section 1: Section 2: 7
Siena College - General Physics 110 Circular Motion Lab Section 3: Data Analysis What patterns did you notice between each of the independent variables and the dependent variable in the experiments you performed? Reference your data tables, graphs, and trendlines. How can you represent the patterns from your data in the form of a mathematical representation? How well does the equation agree with your data? What may have contributed to uncertainties in your measurements? Identify as many sources of experimental uncertainty as you can. 8
Siena College - General Physics 110 Circular Motion Lab Scientific Ability Missing Inadequate Needs Improvement Adequate B7 Is able to identify a pattern in the data No attempt is made to search for a pattern. The pattern described is irrelevant or inconsistent with the data. The pattern has minor errors or omissions. The pattern represents the relevant trend in the data. B8 Is able to represent a pattern mathematically (if applicable) No attempt is made to represent a pattern mathematically. The mathematical expression does not represent the trend. The mathematical expression represents the trend. However, an analysis of how well the expression agrees with the data is not included, or some features of the pattern are missing. The mathematical expression represents the trend completely and an analysis of how well it agrees with the data is included. G1 Is able to identify sources of experimental uncertainty No attempt is made to identify experimental uncertainties. An attempt is made to identify experimental uncertainties, but most are missing, described vaguely, and/or incorrect. Most experimental uncertainties are correctly identified. However, there is no distinction between random and experimental uncertainty. All experimental uncertainties are correctly identified. There is a distinction between experimental uncertainty and random uncertainty. For section 1 the pattern present was the greater the amount of force pulling on the string the faster the object moved. In the graph you see a linear correlation going upwards showing that the speed is increasing. In section 2 the pattern present was the longer the radius of the object to the tube, the faster the object moved, but the revolutions were slower. In the graph for section 2, the graph also shows a positive correlation between the increasing radius between the object and the tube, and the speed at which the object was going. In section 3 the pattern present was the greater the weight present, the slower the object moved in circular motion. In the graph for section 3, we see that there is a negative correlation between the weight being added and the speed of the object. Some uncertainties that could contribute to our measurements is the fact that the string would get tangled up in the tube at times causing us to restart the timer. Another issue was that there were times where the weights would fall off the mass holder causing us to restart the timer. Another factor could be human error where there would be a slight delay when starting and stopping the timer. Section 1 Formula: y=mx + b Y= speed m=avg. speed over force x= centripetal force Section 2 Formula: y=mx + b Y= speed m=avg. speed over radius x= radius of the object Section 3 Formula: y=mx + b 9
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Siena College - General Physics 110 Circular Motion Lab Y= speed m=avg. speed over weight x= weight added 10