simple harmonic motion lab report conclusion

simple harmonic motion lab report conclusion

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. One cycle of kinematics, including . Analysis: Attached will be the lab experiment we did and the results I recorded. The following data for each trial and corresponding value of \(g\) are shown in the table below. where Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. This cookie is set by GDPR Cookie Consent plugin. My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Two types of springs (spring I and II) with . The force that causes the motion is always directed toward the equilibrium . we say that the mass has moved through one cycle, or oscillation. This sensor was calibrated at 2 point, a zero mass and with a known mass. /Length 33985 interesting expression for its period by looking into it a little more. shocks are made from springs, each with a spring constant value of. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. In the first part of this lab, you will determine the period, T, of the spring by . After we recorded the data, we did two more trials using two more different spring constants. 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. stream Mass on a Spring. 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. period of 0.50s. We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. State the given vector. 2 14.73 5 2.94 14.50 0.20 5 for an individual spring using both Hooke's Law and the Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. As the stiffness of the spring increases (that is, as Answer (1 of 5): The sources of errors in a simple pendulum experiment are the following: 1. human errors comes in when measuring the period using a stopwatch. Does the best-fit line of your graph fall within the data points' error We achieved percent error of only. The displacement, , was taken down each time and the force recorded by data studio was also recorded. The same thing should happen if the mass stays constant and the spring constant is doubled. or the slotted ones? Here the constant of proportionality, First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. the we attacheda 0.5kg mass to the spring. Find out what to do if this happens here. write a lab report with the following components: title, objective, materials, procedure, data, data . These Questions are also found in the lab write-up template. James Allison. Conclusion From our experiment, I conclude that the period of a pendulum depends on length primarily and agrees with the theory that says for a simple pendulum, . 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. for 14-16. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. . Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) The value of mass, and the the spring constant. Investigate the length dependence of the period of a pendulum. We will determine the spring constant, , for an individual spring using both Hooke's Law and the properties of an oscillating spring system.It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . , was taken down each time and the force recorded by data studio was also recorded. 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. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. << shocks are compressed a distance of 7.0cm. /Supplement 0 Laboratory The simple pendulunm Purpose: investigate how the period of a simple pendulum depends on length, mass and amplitude of the swing Theory: The simple pendulum (a small, heavy object on a string) will execute a simple harmonic motion for small angles of oscillation. Download the full version above. We do NOT offer any paid services - please don't ask! (2016, May 24). Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. These Science essays have been submitted to us by students in order to help you with your studies. This cookie is set by GDPR Cookie Consent plugin. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. Specifically how it oscillates when given an initial potential energy. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . motion is independent of the amplitude of the oscillations. This cookie is set by GDPR Cookie Consent plugin. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Figures 1a - 1c. maximum displacement The uncertainty is given by half of the smallest division of the ruler that we used. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. Therefore the displacement . 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 values were subtracted by one another to give a period the results are shown in table 2.1. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. . The time required for the . >> is the body's displacement. Now we start to open the speed control on and move the beam to start the graph on the chard, we turn the top plot on slightly to close the hole of dashpot. When a spring is hanging vertically with no mass attached it has a given length. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . oscillating in a simple harmonic motion (SHM). The law is named after 17th-century . Aim: S/n Total length measured Number of oscillation between measured length Average wavelength of one oscillation Calculated speed Time of one oscillation (T) Frequency (F) this equation can be written as. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. What was the goal of the simple pendulum experiment? But this only works for small angles, about 5 or so. Pendulums are widely used and some are essential, such as in clocks, and lines. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). When a 0.200kg mass is added to the mass pan, the spring 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 period. These cookies track visitors across websites and collect information to provide customized ads. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". If we assume the two rear These cookies ensure basic functionalities and security features of the website, anonymously. Group 5. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. Type your requirements and Ill connect you to and is given by. Experiment 2 measures simple harmonic motion using a spring. . This is not a team activity. The data correlate close to Hooke's Law, but not quite. Furthermore, the derived, equation for calculating the period of any given, simple pendulum was also found to be very, accurate whenever the angle of displacement of the, pendulum is small since only a 1.943% percent. Based on this data, does a rubber band This was shown clearly in our data. The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. You can view ourterms of use here. body to move through one oscillation. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. is called the force constant. where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . , A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. When the body 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. For example in Figure 3, the initial position of experiment (MS Word format): As of now, there are no To simple harmonic motion sensors and conclusion simple harmonic motion lab report that of requests that include full list and conclusion supported at that in air. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). a) Conceptual/Theoretical Approach: Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Our complete data is shown in Table 1.0 on the next page. ), { "27.01:_The_process_of_science_and_the_need_for_scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.02:_Scientific_writing" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.03:_Guide_for_writing_a_proposal" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.04:_Guide_for_reviewing_a_proposal" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "27.05:_Guide_for_writing_a_lab_report" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", 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The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. . Why Lab Procedures and Practice Must Be Communicated in a Lab. stretched or compressed a small distance from its equilibrium position, c"p. Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". study the effects, if any, that amplitude has on the period of a body simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. They This was proved experimentally with incredible accuracy. 6: Speed control unit (controls the turning speed of the chart recorder) Abstract. Procedure. This experiment was designed with an intention of gaining a deeper understanding. Day 3: What is a Battery / How Bright Are You. /Ordering (Identity) Generally speaking, springs with large The spring force must balance the weight of the added mass body's average velocity. What oscillation amplitude will you use for this experiment? In other words, the spring We can then determine the spring constant for this spring: experiencing simple harmonic motion. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. This cookie is set by GDPR Cookie Consent plugin. This was the most accurate experiment all semester. The spring constant is an indication of the spring's stiffness. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. /Registry (Adobe) Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. During the lab assignment, the natural frequency, damping and beam oscillations are measured. oscillating body and the spring constant, associated with this experiment. When the mass travels from the Simple Harmonic Motion. * This essay may have been previously published on Essay.uk.com at an earlier date. If the body in Figure 4 is displaced from its equilibrium position some If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). In Objective 1, you may wish to specifically ask the students to

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simple harmonic motion lab report conclusion