Dec 20, 2014 track the speed, velocity and time of any object using auto tracker. Clicking on the answer button displays the acceleration due to gravity for the corresponding environment. Because the length of a pendulum l, and the square of the period of the pendulum. Use this html code to display a screenshot with the words click to run. The purpose of this experiment is to introduce you to the scientific method by investigating the behavior of a very familiar and apparently simple apparatus, the simple pendulum. Presence of uncertainties or errors makes it possible to draw. Tracker is a free video analysis and modeling tool built on the open source physics osp.
The variables we consider are mass, length of the pendulum, and angle of initial dislocation. Pasco capstone software, laptop computer, sw 850 interface, force sensor, photogate, mass balance, simple pendulum and stand. Our data consist of a series of combinations of different variables, weight, length, angle. The simple pendulum in this laboratory, you will investigate the effects of a few different physical variables on the period of a simple pendulum. Observe the energy in the system in realtime, and vary the amount of friction. Simple pendulum in this lab, students will use a photogate and pendulum to determine the physical properties of a simple pendulum that affect its period. The pendulum is modeled as a point mass at the end of a massless rod. Graph the period of the pendulum as a function of its length using the chart feature of excel. Iv if you arent comfortable with partial derivatives. This tracker experiment shows a double pendulum made of two wooden boards with different lengths.
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. 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, the. Tracker software is basically a computer based learning tool and is preferred. Using the simple pendulum lab as an example, students will time a simple pendulum under various conditions. Determine the period of oscillation from an analysis of the. Theory theory states that t and d are related by the equation. Under the chart tools layout tab, and the analysis tools, click trendline and more trendline options. You can change the width and height of the embedded simulation by changing the width and height attributes in the html. One of the most frequent uses of a pendulum is in a clock. Experimental data obtained over a large range of fixed conical pendulum lengths 0. Data analysis 5 evaluation in this lab, we were able to estimate the value of the acceleration due to gravity g on earth by means of a simple pendulum.
The length of the pendulum is the independent variable and should be plotted on the horizontal axis or abscissa x axis. Power macintosh or windows pc string labpro or universal lab interface two ring stands and pendulum clamp. Mar 14, 2016 use trackerc to measure the period and frequency of a pendulum. During the 17th century, it is developed by some physicist, especially by galileo.
Physics theories are tested and refined and are only retained when they are proven to be an accurate description of nature. The key concept that distinguishes experimental science from theoretical science is uncertainty. Now the real lab procedure from steps 12 to 18 can be followed to complete the observations for finding the acceleration due to gravity. This updated, mobileready phet simulation provides an array of tools for analyzing energy transformation in a pendulum system. Example of excel spreadsheet for recording and analyzing data. Logger pro mass bob vernier photogate meter stick protractor graphical analysis. A characteristic property of any pendulum is its period, p.
Examine the resulting data to check against their hypotheses. Construct a pendulum by hanging a mass on a piece of string. Experiment 3 the simple pendulum suggested reading for this lab read taylor chapter 5. In this lab we will establish the relationship between the period and the length of the pendulum by measuring the period for di ering lengths. Cnt90 basic frequency counteranalyzer pendulum instruments. A theoretical analysis is presented, showing the derivations of seven different linearization equations for the conical pendulum period t, as a function of radial and angular parameters. Pdf analysis of simple pendulum experiment using a pc.
A simple pendulum consists of a mass m swinging back and forth along a circular arc at the end of a string of negligible mass. Rev 01 january 31, 2007 the pendulum laboratory 1, physics 15c due friday, february 16, in front of sci cen 301 1 introduction most oscillating systems behave. Physics theories are tested and refined and are only retained when they are proven to be an. A pendulum is considered to be a simple harmonic motion. Physical pendulum experiment ex5518 products pasco. The length of the string is large compared to the dimensions of the bob. Our data consist of a series of combinations of different variables, weight, length, angle, and period of oscillation.
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, the strength of gravity, and the amplitude of the swing. Conclusion for this experiment data was collected and analyzed using charts and graphs. Click on the angle number from which to release the pendulum. First there is the fairly standard adjustment for nonlinearity, which means the period increases as the amplitude of the swing increases. Watch the pendulum swing as an ideal system or add friction.
Track the speed, velocity and time of any object using auto tracker. The mass swings backandforth in a predictable pattern. Central challenge in this investigation, students explore the motion of a pendulum in two parts. Then, using blocks with motion sensing capability, you analyze the. When then pendulum passes through zero from right to left for the 5th time, stop the stopwatch. In this tutorial, you explore the various forces and torques that you can add to a model. A torsional pendulum consists of a disk fixed to one end of a rod which is secured at the other end. Between trials, heshe will change the length of the teams pendulum. Pendulum lab data analysis data fig 1 string length. Using a photogate to measure the period, we varied the pendulum mass for a fixed length, and varied the pendulum length. Mathworks is the leading developer of mathematical computing software for engineers and scientists.
You can vary the mass of the pendulum bob, the length of the pendulum, the angle to which you pull the pendulum back, and the gravitational field strength. Simple pendulum introduction simple pendulum a simple pendulum consists of a large mass bob suspended by a light string from a rigid support figure 1. But when we look more closely, it is much more complex. For this lab we are trying to verify that gravity on earth is 9. A case in point is the changing angle of a pendulum experiment. One definition of simple harmonic motion is that it is. An interactive approach to teaching importance of errors in validating theoretical models. Presence of uncertainties or errors makes it possible to draw inference from the results obtained in experiments.
The equation for the motion of the pendulum was xt 0. The position sensor measure hole on the right end and the hook on the left. Halliday, resnick, walker ch 8, 14 as needed pendulum. You should have read, and should have available for reference, the document entitled making graphs and best fit lines in excel as you work through this experiment. Use the pendulum to find the value of g on planet x. The aerodynamic drag on the ball tends to make the. Gravity is the pull that two bodies of mass exert on one another. Then, students will use their data to support a mathematical model that relates period to pendulum arm length. To conduct a lab experiment for the oscillations of a pendulum with a yielding support 2. The team member working with the pendulums must initially measure the length of each pendulum using 10 washers as the bob. Fast speed and high resolution the cnt90 is a highperformance frequency counter with a fast.
Physics pendulum lab report the best essay writing service. This data is investigated the leastsquares linear regression analysis. The independent variable in this lab was the string length, which was measured in. Determining the acceleration due to gravity with a simple. Measure the period of a pendulum as a function of length. The length of a pendulum is defined as the distance from the pendulum s point of suspension its pivoting position to the center of mass of its bob the mass hanging from its end. In this lab, students will use a photogate and pendulum to determine the physical properties of a simple pendulum that affect its period. Using a photogate to measure the period, we varied the pendulum mass for a fixed length, and varied the pendulum length for a fixed mass. Pendulum lap investigating the relationship between the length of the. Pendulum experiments with three modern electronic devices and a. A simple pendulum is a mass attached to a string that is attached to a fixed point. We applied the regression analysis techniques to the data obtained from a simple pendulum experiment. Then, students will use their data to support a mathematical model that relates period to pendulum.
View lab report pendulum lab conclusion from science ap biology at abington high. In the first part, students experimentally determine what factors affect the period of a pendulum. Presence of uncertainties or errors makes it possible to draw inference from. For small oscillations the simple pendulum has linear behavior meaning that its equation of motion can be characterized by a linear equation no squared terms or sine or cosine terms, but for larger oscillations the it becomes very non. A pendulum is a weight suspended from a pivot so that it can swing freely. Hypothesis procedure materials constants hypothesis materials constants materials hypothesis materials procedure constants works cited chetvorno. The pendulum 1 introduction instructional physics lab. Experiment 3 the simple pendulum michigan state university. Pendulum lab conclusion conclusion for this experiment. The software development company and the individuals the scientific method the simple pendulum lab report on this project risk. In this lab we will investigate conservation of energy for a swinging pendulum. Based on these suggestions, kaleida labs was founded. Equipment and setup for this experiment you will need a ti calculator with the vernier physics program loaded, a cbl unit, a motion detector, and a pendulum. The team member working with the pendulum must initially measure the length of his assigned pendulum.
The complete solution for determining the period of a physical pendulum. The science workshop software was used to record these variables and analyze the data. View lab report pendulum lab data analysis from science ap biology at abington high. Errors, video analysis, tracker software, simple pendulum. Harmonic motion what factors affect the motion of a pendulum. Halliday, resnick, walker ch 8, 14 as needed pendulum, and definitions of period, amplitude. This lab will allow you to test different variables to see how they affect the period of a pendulum. Computerization of experiments increases the accuracy and precision of the results. Determining the acceleration due to gravity with a simple pendulum your name advanced undergraduate lab, department of physics and astronomy, university of utah, salt lake city, utah 84112 this is an example of a lab report associated with obtaining the acceleration due to gravity g and applying mathematical models. A stationary pendulum has its string in a vertical position with the bob hanging straight down. Use this html to embed a running copy of this simulation. A motion sensor is used to determine the position of the bob and calculate velocity.
Measure the period using the stopwatch or period timer. The goal of this experiment was to determine the effect of mass and length on the period of oscillation of a simple pendulum. Pendulum lab data analysis data fig 1 string length trial. To conduct an experiment to prove the yielding support distance is directly proportional to the period. Tracker is a free video analysis and modeling tool built on the open source physics osp java framework. A body with mass m and speed v has energy by virtue of its motion. Pendulum lab conclusion conclusion for this experiment data.
Determining the acceleration due to gravity with a simple pendulum your name advanced undergraduate lab, department of physics and astronomy, university of utah, salt lake city, utah 84112 this is an example of a lab. Experiment 1 the simple pendulum and computer data analysis. Record this value in a table in your lab notebook in pen. Gravity tends to make the pendulum ball return to the vertical position. When a force, f, is applied tangentially at a radius, r, a torque is applied and the rod. Simple pendulum advanced placement lab experiments pasco. The simple pendulum is a favorite introductory exercise because galileos experiments on pendulums in the early 1600s are usually regarded as the beginning of experimental physics. The purpose of this lab was to develop an equation for the motion of the pendulum and calculate the period experimentally and theoretically. A student researched lab analysis exploring the ballistic pendulum.
Select the power regression type and check the options for display equation on chart and display rsquared value on chart. This complete solution is designed for use with pasco capstone software. The length of a pendulum is from its point of suspension in this case, the top knot on the. The length of a pendulum is from its point of suspension in this case, the top knot on the beam from which is pivots to the center of mass of its bob the mass hanging from its end. The simple pendulum and computer data analysis in this experiment you investigate the behavior of a simple physical system called a pendulum, consisting of a mass swinging on string. Our experiment may be similar to one you have done in high school, however, the mathematical analysis.
Experimental data obtained over a large range of fixed conical pendulum. Measure the period of a pendulum as a function of bob mass. From the recorded position and velocity you will use a spreadsheet to calculate kinetic and potential energy. Use trackerc to measure the period and frequency of a pendulum. The simple pendulum lab report write my custom paper. Functions experiment pendulum introduction equipment and setup. Overview the cnt90 frequency timercounteranalyzer is excellent for measurement, analysis and calibration of frequency, time, or phase. Our experiment may be similar to one you have done in high school, however, the mathematical analysis will be more.
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