Graph of Length versus Square Period (T2). While plotting the graphs, the length being the dependent variable was taken on the x-axis while the … Adopted a LibreTexts for your class? An investigation of the bifilar pendulum includes determining the accuracy of the experiment and understanding its exper imental process. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. A simple pendulum was set up consisting of a mass (m) and a negligible string of length (L) attached on a frictionless pivot. For small oscillations, how do length or gravity affect the period or frequency of the oscillation? Galileo Galilei was the first European to really study pendulums and he discovered that their regularity could be used for keeping time, leading to the first clocks 3. 2. The slope of the graph was 0.23 while a graphical value of the acceleration of gravity was g=9.0824. We repeated this measurement five times. Pendulum experiment variables What are the variables that you will need to manage during the investigation? Click here to let us know! The sources of error were estimations while reading of value meter values, calculation and plotting of the graph. . I wrote down practically Buddhism Paper Simple Pendulum lab report I acknowledge my fellow students for the support and discussions concerning the topic and the experiment. Lab 1 - This is a Lab report for a physics experiment on Simple Harmonic Motion Quiz 1 answers Principles of Supply Chain Chapter 19 Notes - The teacher gives a video lecture with a Powerpoint. You should not need or use the Guinness Book of World Records for this. 2 Rotational Motion. (Sample Lab Report) Joe Glotz (Partner: Al Thumbs) Physics 2048C Lab #12, Simple Pendulum November 12, 2007 Instructor: Dr. A. Einstein Purpose The purpose of this experiment was to determine whether length, mass and angle of displacement affect the period of a pendulum. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Inside this experiment, only different masses will be https://bellarmine.lmu.edu/yoga/ used n order to show that mass doesn’t have an impact on the time that it takes for a pendulum to experience a period. UTC Physics 1030L: Simple Pendulum 62 Lab Report Format: Your lab report for this experiment should contain: 1. Time Period:- The time period of the simple pendulum is defined as the. Lab 1: Simple Pendulum 3 2.3 Experiment 1: angle at which easy approximation breaks down The preceding discussion should give us an idea for finding the angular displacement at which a simple pendulum no longer behaves like a SHO, or in other words, the angle at which the approximation sinθ ≈ θ breaks down. The experiment was conducted by … We transcribed the measurements from the cell-phone into a Jupyter Notebook. This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. The mass of the pendulum should be kept constant while the length of the string is varied. We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. The apparatus for this experiment consists of a support stand with a string clamp, a small spherical ball with a 125 cm length of light string, a meter stick, a vernier caliper, and a timer. This This correspond to a relative difference of 22 % with the accepted value (9.8 m/s 2), and our result is not consistent with the accepted value. Ysics pendulum lab report. The oscillations of the mass were started, and the period of a complete oscillation recorded. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). Legal. Equipments (Apparatus): Simple pendulum – Metric Ruler – Stop watch – Theory: A simple pendulum consists of a mass " m" hanging on the end of light string of length “ L”. I acknowledge our tutor for teaching and guidance through the course. 27.8: Sample lab report (Measuring g using a pendulum), [ "article:topic", "license:ccbysa", "showtoc:no", "authorname:martinetal" ], https://phys.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fphys.libretexts.org%2FBookshelves%2FUniversity_Physics%2FBook%253A_Introductory_Physics_-_Building_Models_to_Describe_Our_World_(Martin_Neary_Rinaldo_and_Woodman)%2F27%253A_Guidelines_for_lab_related_activities%2F27.08%253A_Sample_lab_report_(Measuring_g_using_a_pendulum), 27.7: Sample proposal review (Measuring g using a pendulum), 27.9: Sample lab report review (Measuring g using a pendulum), information contact us at info@libretexts.org, status page at https://status.libretexts.org. The mass, string and stand were attached together with knots. You'll find the answersbelow. The results obtained were used for plotting a graph of L against T2 to determine the slope coefficient. I acknowledge the physics department and laboratory staff for availing the laboratory facilities. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. Procedure . Replacing the mass with a moment of inertia (I), then the equation becomes; The equation below gives the time period in terms of the angular frequency w. The acceleration of gravity should be small to ascertain the stability of the system during oscillation and also enable accurate determination of the period. The mass was made to hang freely at zero degree in respect to the clamp. The mass was made to oscillate and period recorded on smart timer. London: John Wiley & Sons, Limited. That is, they vibrate. Documents similar to "Simple Pendulum Lab Report" are suggested based on similar topic fingerprints from a variety of other Thinkswap Subjects PHYS1110 Final Report - Pendulum Document Title Research paper. In this experiment, we measured g by measuring the period of a pendulum of a known length. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of \(g\): \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. Period and length of a simple pendulum - measurement of g. The results of the first experiment, where we studied the effect of amplitude of. The apparatus is shown in Figure 2. One such example is a simple pendulum. We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. Using a photogate to measure the period, we varied the If we suspend a mass at the end of a piece of string, we Experiment with Conical Pendulum S.S. Tongaonkar † and V.R. The Coupled Pendulum Experiment _____ In this lab you will briefly study the motion of a simple pendulum, after which you will couple two pendulums and study the properties of this system. The w = 2Πf = ( ) equation was used to determine the acceleration of gravity (g). The simple pendulum method leads to an approximately accurate value of the acceleration of gravity (g) as compared to the ball drop method. The experiment was successful since the acceleration of gravity value obtained was close to the accepted value of 9.806. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). The simple pendulum setup can be used for the determination of acceleration of gravity value (g) (Cutnell, & Kenneth, 2013). Simple Pendulum Lab Report Procedure Features. CHECKLIST Your lab report should include the following four items: 1) the spreadsheet with your data The uncertainty is given by half of the smallest division of the ruler that we used. The independent variable is . 1. We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). _____ 1 1. For more information contact us at info@libretexts.org or check out our status page at https://status.libretexts.org. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. (2013). 3. You can vary friction and the strength of gravity. We built the pendulum with a length \(L=1.0000\pm 0.0005\text{m}\) that was measured with a ruler with \(1\text{mm}\) graduations (thus a negligible uncertainty in \(L\)). The acceleration of gravity from the calculation was g = 9.7744. Have questions or comments? Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). F = -kx, k is the spring constant and x is the displacement, Therefore, the back and forth motion can be expressed as. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. Consider a simple pendulum of mass m suspended by a light, inextensible string of length. The long pendulum arm and a small swing about a small angle help in the approximation of the simple harmonic motion. Lab Report February 9 2010 Max H. and Evie Z. This is consistent with the fact that our measured periods are systematically higher. The clamp was attached to the table in a stable position. Unless otherwise noted, LibreTexts content is licensed by CC BY-NC-SA 3.0. INDIA, 425002 † sst.mjc@gmail.com (Received 27.03.2011 Accepted 10.05.2011) Abstract Conical pendulum is similar to simple pendulum with the difference that the bob, instead of moving back and forth, A simple pendulum was set up consisting of a mass (m) and a negligible string of length (L) attached on a frictionless pivot. Table: 1. ...Laboratory Report: Experiment One Title: Determination of the acceleration due to gravity with a simple pendulum Introduction and Theory: A simple pendulum performs simple harmonic motion, i.e. The corresponding value of \(g\) for each of these trials was calculated. Cutnell, D. J., & Kenneth, W. J. [1] Background: There are three equations that will be used to calculate the period of motion of the simple pendulum. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). A small angle of oscillation should be used so that the system exhibits simple harmonic motion (Cutnell, & Kenneth, 2013). Purpose: the purpose of this experiment is to determine what factors affect the time of the pendulum swing Evie's Hypothesis: if the length, angle, and mass of the pendulum are changed, then the time of the swing will be effected. Pre-lab (objective, theory, sketch of the experimental set up, and procedure). 2. PHY191 Experiment 4: The Simple Pendulum 10/3/2014 Page 4 You can compute g from the period of the pendulum and the length of the string. The simple pendulum is composed of a small spherical ball suspended by a … The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty. 2.3 Measure the length L between the pivot of the pendulum and the center of mass of the bob as accurately as possible. the length of the pendulum. The LibreTexts libraries are Powered by MindTouch® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Lab Date: September 2, 2003 Lab Report Submittal Date: September 9, 2003 Lab 1: The Pendulum Abstract The goal of this experiment was to determine the effect of mass and length on the period of oscillation of a simple pendulum. The w= 2Πf = ( ) equation was used to determine the acceleration of gravity (g). In 1656, the Dutch inventor and mathematician, Huygens, was the first man to successfully build an accurate clock. PhET Explorations: Pendulum Lab. The pendulum method is the best for the determination of acceleration of gravity (g) as compared to the ball drop method because there is no transformation of energy (gravitational potential energy). The mass was made to oscillate and period recorded on smart timer. 3) Estimate the period of a pendulum, the length of which is that of the tallest a)tree b)building c)mountain in the world. Lab Manual: Appendix B. The smart timer was set on the pendulum. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The pendulum method is used for determination of the acceleration of gravity (g). The thin string used and a large mass reduces frictional effects and air drag. We measured g = 7.65 ± 0.378 m/s 2. Experiment: Simple Harmonic Motion Simple Pendulum PHYS 215, T 3pm Purpose The purpose of this experiment was to prove that the period of a simple pendulum is independent of both the mass of the hanging object and the angle of displacement of the pendulum. EXPERIMENT 2 Measurement of g: Use of a simple pendulum OBJECTIVE: To measure the acceleration due to gravity using a simple pendulum. What is the relationship between angular acceleration and angle? The results obtained were used for plotting a graph of L against T2 to determine the slope coefficient. In a pendulum motion, the restoring force is directly proportional to the displacement of the object directed opposite to the restoring force as shown in the formula: Therefore the motion of a simple pendulum is called a simple harmonic motion. This experiment uses the simple pendulum setup to measure the acceleration due to gravity from Newton’s second law of motion. It’s easy to measure the period using the photogate timer. Lecture 1: Compound pendulum. View The Simple Pendulum Experiment report.docx from CHEMISTRY 1110 at California State University Los Angeles. Throughout the whole experiment such as the pendulum stand, meter stick. The hypothesis was correct. In order to minimize the uncertainty in the period, we measured the time for the pendulum to make \(20\) oscillations, and divided that time by \(20\). The length is the manipulated variable, period (T) a responding variable while the mass of the pendulum a fixed variable. – Pendulum Lab Report The first thing that you need to do is to decide what kind of info you need to consist of in your good laboratory report sample. Additionally, the experiment also examines how the period of oscillation, T relates to angular displacement, θ. of the pendulum. report. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. Therefore, solving the 3 equations simultaneously, the 3 unknowns can be set. The time for one complete oscillation is called the period time of the simple pendulum. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. The lab report and an assessment of your performance in the lab count. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). I acknowledge the laboratory staff for providing directions on how to carry out the experiment. We also found that our measurement of \(g\) had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the \(1\)% relative uncertainty that we predicted. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. 3. I will be investigating the effect of the length of a pendulum’s string on the time for the period of that pendulum. Procedure 1. Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). The pendulum was set to oscillate with a small angle. How do mass, length, or gravity affect the relationship between angular acceleration and angle? The length of the string was increased in steps and the period for every oscillation recorded. Given my previous knowledge, I know that a pendulum behaves in an oscillating manner, meaning that the acceleration is always proportional to the negative distance. Khadse Department of Physics, Moolji Jaitha College, Jalgaon (M.S.) The simple pendulum equation is given as; Therefore, the slope coefficient from the graph was 0.23; the statistical acceleration of gravity was 9.0824. The Simple Pendulum Experiment Inference: When the length of a simple pendulum Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. 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