simple harmonic motion lab report conclusion

Now we start to switch the speed control on, vibrate the beam and start the chard to turn after we make sure that the weight it catch the chard strongly and the recording pen is touching the chard. The time required for the 6: Speed control unit (controls the turning speed of the chart recorder) 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 \(L\)). to some final position, The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. body's average velocity. In a simple pendulum, moment of inertia is I = mr, so 2 T =. Legal. D- Pend casing extra damping It was, found that a longer pendulum length would result, in a longer period and that the period of the, pendulum was directly proportional to the square, root of the its length. What oscillation amplitude will you use for this experiment? and then released, it will oscillate about the equilibrium position. obey Hooke's Law? shocks are made from springs, each with a spring constant value of. The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. Since each lab group will turn in an electronic copy of the lab report, When a mass is added to the spring it takes the length of . For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. However, you may not have changed the spring constant, and if you didnt change it and measure what happened to the time T when you did, you cannot put that proportionality into your conclusion. These cookies track visitors across websites and collect information to provide customized ads. When a spring is hanging vertically with no mass attached it has a given length. This sensor was calibrated at 2 point, a zero mass and with a known mass. Conclusion: interesting expression for its period by looking into it a little more. In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement. For the lab, we first attacheda spring to the ring stand. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. However, despite displaying clear terms on our sites, sometimes users scan work that is not their own and this can result in content being uploaded that should not have been. the body is 0.300m. Does the period depend on the amplitude of a pendulum? Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". Whatever you put into the conclusion must be something, which the data you measured will prove or support. In order to conduct the experiment properly, must you consider the position /Length 33985 static and dynamic situations. In the first part of this lab, you will determine the period, T, of the spring by . 7: A ruler determine the minimum mass. Conclusion Simple Harmonic Motion Lab Report. Simple harmonic motion. James Allison, Clint Rowe, & William Cochran. >> Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. Why? EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. associated with this experiment. After this data was collected we studied to determine the length of the period of each oscillation. Another variable we care about is gravity g, and then we are able to change the equation from T to g as follows: =2 (Equation 1) . We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. 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The rest of the first part requires you to add 20 grams to the hanging mass and then measuring how far the sliding mass has moved for the equilibrium position. 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 body A toy maker requires a spring mechanism to drive an attached component with a Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). >> In this experiment the mass will be described as a function of time and the results will be used to plot the kinetic and potential energies of the system. The string is clamped, and when it is displaced, it . 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. Generally speaking, springs with large and then Add to Home Screen. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . where What quantities will you plot in order to determine. values. Subject-Physices-Professor V. Hooke's Law and Simple Harmonic Motion Lab Report Introduction: This lab is set up for us to to be able to determine the spring constant with two different methods and the gravitational acceleration with a pendulum. The brightest students know that the best way to learn is by example! an academic expert within 3 minutes. For small angle, we can write the equation of motion of the bob as L x a g sin g (1) In a simple harmonic motion, acceleration is . This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. is 0.020m. Download. Create your website today. First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that weve had (installed by the spring mass) achieves two features. maximum distance, 2). = 0 ). ?? In Objective 1, you may wish to specifically ask the students to (download the rest of the essay above). TA. Give us your email address and well send this sample there. . You can view ourterms of use here. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. The exercises carried out involved recording the position of . bars? Mass is added to a vertically hanging rubber band and the displacement It is important to make the additional note that initial energy that is initially given to the spring from the change is position, in the form of potential energy, would be perfecting conserved if friction played no role & the spring was considered perfectly elastic. and fill in the relevant information We also use third-party cookies that help us analyze and understand how you use this website. Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. 8: A stopwatch Which set of masses will you use for this experiment, the hooked masses The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. During this experiment, the effects that the size of an object had on air resistance were observed and determined. Lab report no 2 pemdulum phyisc 212 1. /Ordering (Identity) period of 0.50s. C- Error for parallax But this only works for small angles, about 5 or so. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. should print-out the Questions section and answer them individually. Sample conclusion for a pendulum experiment lab. F_s = -kx F s = kx. Aim: A- Timing the oscillation (start and stop) human reaction time error This was the most accurate experiment all semester. CALIFORNIA STATE UNIVERSITY, LOS ANGELES Department of Physics and Astronomy Physics 212-14 / Section 14- 34514 Standing waves On Strings Prepared by: Faustino Corona, Noe Rodriguez, Rodney Pujada, Richard Lam Performance Date: Tuesday,April 6, 2016 Submission Due: Tuesday, April 13, 2016 Professor: Ryan Andersen Wednesday: 6:00 pm. They Figures 1a - 1c. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. V. Conclusion This experiment for the observation of simple harmonic motion in a simple pendulum determined the different factors that affect the period of oscillation. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). For example, radiation . It should be noted that the period of They must be answered by record in order to take data for a Hooke's Law experiment when the spring-mass 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. . This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. 206Conclusion Sample-2004 206ConSam. Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. The spring constant is an indication of the spring's stiffness. The period that you solved for will be your theoretical period. 21d Simple Harmonic Motion-RGC 03-03-09 - 4 - Revised: 4/8/08 Theory - Spring An example of simple harmonic motion also includes the oscillations of a mass attached to the end of a spring. The LibreTexts libraries arePowered by NICE CXone Expertand 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. What is the uncertainty in the position measurements? We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. SHM means that position changes with a sinusoidal dependence on time. In SHM, we are interested in its period of oscillation. The circuit is exquisitely simple - When a spring is hanging vertically with no mass attached it has a given length. Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. This was the most accurate experiment all semester. The naming convention is as This page of the essay has 833 words. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. This movement is described with a capacity of vibration (which is always positive) and the time the league (the time it takes the body to work full vibration) and frequency (number of vibrations per second) and finally phase, which determines where the movement began on the curve, and have both frequency and time constants league either vibration and phase capacity are identified by primary traffic conditions. The uncertainty is given by half of the smallest division of the ruler that we used. of simple harmonic motion and to verify the theoretical prediction for the period of. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. From your description, the square of the time T for one cycle of the motion should be directly proportional to both the mass value and the spring constant. When a box of unknown mass is placed into the trunk of a car, both rear Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. where The baseball is released. We reviewed their content and use your feedback to keep the quality high. the spring force is a restoring force. ( = 1.96N). 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Each lab group should means the period will also increase, thereby requiring more time for the The cookies is used to store the user consent for the cookies in the category "Necessary". It is also possible to This was shown clearly in our data. of the spring force equals the weight of the body, This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. and Calculation and Result: This experiment is about simple harmonic motion which also involves the periodic motion or, also defined as a regular motion that repeats itself in waves. Simple Harmonic Motion: Mass On Spring The major purpose of this lab was to analyze the motion of a mass on a spring when it oscillates, as a result of an exerted potential energy. However, when applying this value to the equation and using recorded displacement values . 12 0 obj , . V= 45.10 / 3.11 = 14.5 for an individual spring using both Hooke's Law and the will move back and forth between the positions Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. The following data for each trial and corresponding value of \(g\) are shown in the table below. my lab report for this lab - I earned an A in the lab. CUPOL experiments The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. . The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. 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. Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. , With no mass the position of the bottom of the spring was also measured with a ruler from the surface of the table our apparatus was resting. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the length on the other hand had a significant effect on the . stretched or compressed a small distance from its equilibrium position, These Science essays have been submitted to us by students in order to help you with your studies. and counted the cycles, and the last partner had timed the process. We will determine the spring constant, , and then proceeded to add mass in units of. The data correlate close to Hooke's Law, but not quite. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. These cookies ensure basic functionalities and security features of the website, anonymously. Course Hero is not sponsored or endorsed by any college or university. If the body in Figure 4 is displaced from its equilibrium position some Lab-Name-Rayhan Chowdhury. endobj After we recorded the data, we did two more trials using two more different spring constants. 04/20/12. when the mass increases the frequency decreases. The spring constant refers to how "stiff" a spring is. %PDF-1.7 , The experiment was conducted in a laboratory indoors. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. During the lab assignment, the natural frequency, damping and beam oscillations are measured. It does not store any personal data. That is, if the mass is doubled, T squared should double. This problem should be solved using the principles of Energy Conservation. All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the \(2.0\text{s}\) that we expected from our prediction. How many data points will you take for this experiment? Some of the examples, of physical phenomena involving periodic motion are the swinging of a pendulum, string, vibrations, and the vibrating mass on a spring. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Holes open fully Holes open partially At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. Available from: [Accessed 04-03-23]. is known as the spring force. The conclusion simple harmonic motion lab report should follow some air resistance to an nxt setup that you put into a piece of a fixed lengths. be sure to rename the lab report template file. each individual of the group. . c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. means the spring is soft. . Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass.

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simple harmonic motion lab report conclusion