Lab 9 Rotational Dynamics L9-1 Name Date Partners Lab 9 - Rotational Dynamics L09-1 called the rotational inertia, or moment of inertia, of the body with respect to the particular axis of rotation. When the quadrant was introduced in the tank of water, the force that acted on the front rectangular surface exercised a moment with regard to the supporting axis. txt) or read online for free. • Moment of Inertia, I. Reports and assignments are due at the beginning of class on the due date. Here we learn how to find the exact metacenter or simply the metacentric height of a floating body, for example in ships or other similar floating vessels. FIRST YEAR PHYSICS LABORATORY (P141) MANUAL LIST OF EXPERIMENTS 2015-16 1. The Mass M S Applying A Torque To The Large Disk Via A Smaller Pulley With Radius R. All in all, the Moment of inertia is the resistance of an object to change its current state. Theory of Machines Lab Manual. The Moment of Inertia on an object is the quantity of that object that expresses the tendency to resist angular acceleration. Be able to explain inertia if given an example like the bowling ball/ basketball lab. References [1]Pasco CI-6538 [2]Pasco CI-6693 [3] www. So your lab report will have all the sections—Introduction, Methods, Results, Discussion, Conclusion—but with only a sentence or two in the sections that were not assigned. Find the moment of inertia of the disk and metal bar using equation (2). COMSOL Multiphysics - Official Site List of criteria used to write a lab report, such as hypothesis, data table, conclusions. Lab report:. e • Force Constant, k • Evidence of the Isotope Effect Use the infrared vibrational spectrum of HCl and DCl to obtain the following: Introduction. is the speed of light in a vacuum, and. The direction of these vectors are given by the right hand rule. As ( m ) falls, its gravitational potential energy (PE) is transferred into translational. A beautiful and engaging investigation of angular motion! Observe the angular acceleration of the apparatus, and investigate the effects of changes in torque and inertia. rotational motion. Introduction: In this lab, we got to experiment with rotational dynamics. 2314 mm = 0. If the mass fo the rigid body is close to the rotation axis, the Moment of Inertia is rather small. The theoretical background of a lab experiment is the ideas that support a research study or a theory. Moment of Inertia. The second part of the experiment involves a deter- mination of the ratio m BH. The Moment of Inertia on an object is the quantity of that object that expresses the tendency to resist angular acceleration. Measure the diameter of the masses. To study properties of the moment of inertia and its effect on rotational motion. The measured initial velocity of the projectile at the first click was 5. TTK4135 Optimization and Control Helicopter Lab Report 716120, 723987 Group 1 April 29, 2015 Department of Engineering Cybernetics 8 Conclusion 24 A MATLAB Scripts 25 e Moment of inertia for elevation 0:83 kgm2 J. Newton ¶s first law Questions: 1. Worked examples involving Bending Stess and Moments of Inertia. COMSOL Multiphysics - Official Site List of criteria used to write a lab report, such as hypothesis, data table, conclusions. They allow us to predict the outcome of an event, given information about the input. The moment of inertia I of the rotor can be calculated by using the method of superposition. Write a paragraph discussing your results. This section outlines the steps necessary to perform the Wood Flexural Strength lab experiment. acceleration will be determined using 2 methods in the beginner s physics lab class: a) if one knows the moment of inertia of a pendulum and b) if it is unknown. Research proposal on with conclusion for college essay. 3 To compare experimentally observed values of critical stress with the theoretical values. A bigger issue may be the moment of inertia of the pulley itself -- its rotation rate increases as the mass falls, so some of the. The old lab was 0. Experiment Carefully pay attention on the following points of the experiment: Observe the white mark on the pendulum with the telescope. Graphical solutions for the addition of vectors will be carried out. Lab 9 – Buckle Up 3. 3 Tawing Moment of Inertia 2. This is done by suspending two parallel cords of equal length through the object examined. This information will be needed to answer one of the questions. Two values for the shear modulus, G (tension and torsion) c. Lab 150 pts Special Needs and Accommodations: Please notify the instructor of any special problems or needs at the beginning of the semester. It is sufficient to observe. Effect of mass on the moment of inertia. You will observe the behavior of a system similar with the one in the scenario: a block will be allowed to fall pulling on a. Figure 1: The ballistic pendulum We have seen, in previous labs, that it is generally a good idea to perform multiple independent experiment. The moment of inertia of body is defined as the measure of object's resistance to the changes of its rotation. The unit of rotational inertia is (kg-m2) We can break down objects into pieces and analyze each piece mathematically. Assuming that m ij is a component in the i th direction caused by acceleration in direction j. Using experimental quantities, the moment of inertia was calculated to be 6. Title of the lab, names of lab partners (other than me), date 2. Simon Andersson December 1, 2011 Torque Lab Report. general physics lab. The video recording of the lab set up and data collection is on Moodle. Complete the first 5 columns of this table using the data collected during the torsion test. For example, the moment of inertia for a ring about its center of mass is given by M (Di Da) where M is the ring's mass, D1 is the ring's inner diameter, and D2 is the ring's outer diameter. Write a paragraph discussing your results. 99792458* 10 /sec 6. Please include all following in your report. This ring is fastened to the top of a heavy, solid disk, "a flywheel," and that disk is attached to a shaft. Diagram target in lab notebook 3. So the ball should roll on forever. Figure 1: The ballistic pendulum We have seen, in previous labs, that it is generally a good idea to perform multiple independent experiment. Moment Lab Report In: Science Submitted By chingching Words 626 Pages 3. Use the balance to determine the mass. This will include (a) (b) (c) (d) (a) i guess that to demonstrate law of conservation of energy, the K. Report: Each group will deliver one report that should include: • A brief description of the test procedure, and a sketch of the test setup • Sample calculations and answers to any questions. INERTIA LAB 1. Introduction: No new data will be taken in this short lab. This is followed by an analysis of the impacts of reduced inertia on power system stability in Section IV and power system operation in Section V. Lab Report Template 1 Title page Must include: The name of the lab your name, your group members names, and the TA’s name the course number and lab section (i. Title of the lab, names of lab partners (other than me), date 2. material (7 × 103 kg/m3). Angular Acceleration. Moments of Inertia Lab Report - Free download as Word Doc (. The goal of this experiment was to determine the effect of mass and length on the period of oscillation of a simple pendulum. Conservation of. acceleration will be determined using 2 methods in the beginner s physics lab class: a) if one knows the moment of inertia of a pendulum and b) if it is unknown. g, Modulus of elasticity, Modulus of rigidity, Shear strength, shear strain and ductility in torsion. (9), the final angular. Now you can perform the classic momentum lab with all the same calculations, but without the inconvenient physical air track and photogates. The experimental moment of inertia will be compared with the theoretical moment of inertia for each. Conclusion: There is a very large percent difference in the geometric inertia and the calculated rotational inertia. This will include (a) (b) (c) (d) (a) i guess that to demonstrate law of conservation of energy, the K. Inertia lab report Essay A Rotational motion experiment is the simplest method of finding the Moment of Inertia. The purpose of this lab is to demonstrate conservation of linear momentum in one-dimensional collisions of objects, and to compare the properties of elastic and inelastic collisions. The first of these, momentum, was actually introduced by the French scientist and philosopher Descartes before Newton. Angular momentum. remains constant). Instantaneous means scientists measure your acceleration for a specific moment of time. Research proposal on with conclusion for college essay. 0 Aim Beam with high value of second moment of inertia or second moment of area will show less deflection and beam with low value of second moment of inertia will show larger deflection. 3 Momentof Inertia -Dependenceof I on R2 The moment of inertia for a mass point is mR2. Title of the lab, names of lab partners (other than me), date 2. However, partial correlation revealed that these correlations were no longer significant when corrected for covariance with moment arm ( Table 4 ). INERTIA LAB 1. You will also determine the torque exerted on the disk by friction at its axis. Before starting the lab, calculate the maximum load that can be applied to the rod, assuming a limit of 75MPa (safe shear stress in brass). Use the parallel axis theorem, , the moment of inertia of a thin rod about its center of mass, and the period of a physical pendulum given above to prove that the period of a physical pendulum that is pivoted a distance “D” away from its center of mass is given by:. Data and Calculations Part A: Moment of inertia of the apparatus (I 0). Keywords: bending moments, shear loads, torsional moment, open deck structures, finite element method, beam theory. NOTE: On the last page of the lab there is a chart that you can use to fill in your data. 3 rev/s , what is her angular speed (in rev/s) when her arms and one leg open outward?. Physics 2015- Lab 7 Rotational Motion Lab 7 - Rotational Motion Purpose: This Lab is intended as an introduction to the concepts of rotational inertia, rotational energy, and angular momentum. , 2012) Meanwhile, we performed an experiment for moment of inertia using the disk and ring. While load is moving downwards it’s potential energy converts to kinetic. Lab 11: Rotational Dynamics Objectives: • To understand the relationship between net torque and angular acceleration. by measuring the de°ection of a compass needle due to the combined eﬁects of the magnetic ﬂelds of the bar magnet and the horizontal component of the earth’s magnetic ﬂeld. Theory: For a system in the absence of any net external torque, the angular momentum, L, is conserved (i. By measuring the motion of the hanging mass, we can ﬁnd the moment of inertia of the rotating object. Now if a cylindrical mass is attached at the free end of the suspended wire, this forms a torsional pendulum and period of oscillation (T) of such a torsional pendulum is given as Where I am the moment of inertia of the cylindrical mass attached at the bottom end and is given by I = (1/2)MR2, with M being mass and R being the radius of the. Angular momentum. We will calculate these values through three "standard" setups that you may be familiar with from your lecture series. Conservation of Momentum. as the moment of inertia for the bar magnet and α as the angular acceleration of the bar magnet. Your lab report should describe your predictions, your experiences, your observations, your measurements, and conclusions. Objective: In this lab. Use wheels of known moment of inertia. Chapter 15 –Modulus of Elasticity page 79 15. 50 Experiment 9: Moments of Inertia Advance Reading Text: Torque, Rotational Motion, Moment of Inertia. This is especially true when you are looking at a new idea, when you can use what you have already found to be valid as a sort of check. Adjustments to Zatsiorsky-Seluyanov's segment inertia parameters. The mass moment of inertia with respect to an axis is also defined as the product of the mass times the distance from the axis squared. Inertia Laboratory Report The objective of this report is to find the Moment of Inertia of a disc by means of investigating the use of rotational motion. 13 Lab 2: Density Sep. By comparing the measured angles during the experiment with the calculated angles found, we discovered only a small percent difference in the comparison. An extended solid object that is free to swing on an axis is called a physical pendulum, whose period is now dependant on the mass moment of inertia about the rotational axis and it distance from the centre of mass. tional to maximum moment borne by the specimen. CONCLUSIONS AND RECOMMENDATIONS REFERENCES TABLE FIGURES DISTRIBUTION ill. • Moment of Inertia, I. For satellites in orbit, the force comes from gravity. time graph for the Friction Tray, the Hover Puck and the Cart. These values were ____% off the accepted value of 9. and angular momentum. An even smaller value is expected for the moment of inertia of a solid sphere with radius R (see Fig. A bigger issue may be the moment of inertia of the pulley itself -- its rotation rate increases as the mass falls, so some of the. 9 seconds (good) but the new one was 1. ) The crossover frequency decreases from 192 to 67. One end of a cord is loosely looped around the peg and its other end carries the weight-hanger. 1- For the disk with radius, r and mass, m. I am plying that, in aition to classroom instruction, employees acquire knowl ees need training or develop mcclellans need theory, in an ethical decision is ethical the practical purpose of the world. Now if a cylindrical mass is attached at the free end of the suspended wire, this forms a torsional pendulum and period of oscillation (T) of such a torsional pendulum is given as Where I am the moment of inertia of the cylindrical mass attached at the bottom end and is given by I = (1/2)MR2, with M being mass and R being the radius of the. After five days, the penalty will not increase from 20 points and late reports will be accepted up until the last class day of the semester. 132 kg, and its radius R being 0. Lab 9 Rotational Dynamics L9-1 Name Date Partners Lab 9 - Rotational Dynamics L09-1 called the rotational inertia, or moment of inertia, of the body with respect to the particular axis of rotation. which become the important elements while calculating metacentric heights of. We found that, theoretically, it should equal 2. If net torque is zero then angular momentum is constant or conserved. Identify where the materials are used in your report. Lab 9 - Rotational Dynamics L09-3 University of Virginia Physics Department PHYS 1429, Spring 2012 shapes are given in Figure 2. = moment of inertia of beam (m4) Experiment 8: Deflection of beams (Macaulay's Method) 1. Read Good Reports On Accelerometer Experiment Lab and other exceptional papers on every subject and topic college can throw at you. Spring 2013 Lab Report Experiment # 3 Bending of Beams Section # ThTh12 Group # 1 Ömer Ege Çalışkan Serhat Karakuz Noyan Uğur Renda Turgut Soydan 20. • plot your data and analyze it using the Vernier Logger Pro™ software. DESCRIPTION OF SET UP : For conducting the experiment, a bar is supported by nylon thread into the hook. This is usually done tion (see Fig. 132 kg, and its radius R being 0. 64 x 10^-6 Finally we compared the two Moment of Inertia by finding the difference between them and dividing that number by their average. In this procedure, the R2 dependence of the moment of inertia will be investigated. Newton’s First Law, once the egg began moving, it didn’t want to stop. Torsion Test on Mild Steel and Cast Iron - Lab ReportTo perform a Torsion Test onMild steel specimenCast iron specimenPurpose:To study the shear stress ~ shear strain behavior of the material. MOMENT OF INERTIA TEST LAB OBJECTIVE: The objective of this test is to determine the mass moment of inertia of a test object utilizing an experimental method. • Third Law: Action-reaction – For every force there is an equal and opposite force. Attendance to lab session is compulsory. Study of Soft massive spring. The thin string used and a large mass reduces frictional effects and air drag. This study describe an experiment measuring the moment of inertia of an electric powered wheelchair (EPW) using a torsional pendulum method. where is the moment of inertia of the rotating system, I r is the spindle radius, and Tr is the torque applied by the string to the spindle. We did a lab in which we attracted a mass to a string that went over a pulley and then attached to a train (a small plastic thing) on an air track (frictionless surface). hi i will attach two files which have the requirements of my lab report, one is the lab template and the other one is the lab overview with the data. Inertia of the wheelchair is an important factor for. Additionally, you develop a qualitative "feeling" for moment of inertia. If you fail to do so, you will fail the course. The time taken by the flywheel to come to a stop is determined as t seconds. Read Good Reports On Accelerometer Experiment Lab and other exceptional papers on every subject and topic college can throw at you. 000262 kg-m2. is the moment of inertia, c. OBJECTIVES 1. In each case, to calculate the experimental value of the moment of inertia, remember to use the averaged angular acceleration α from 4 (or more, but an even number) sections of the plot. A complete lab write‐up includes a Title, a Purpose, a Data section, and a Conclusion/Discussion. 000292 kg-m2. Lab 20% Tests/Quiz 75% Labs There is a one to two hour lab every week. Be sure that you know which section or sections you were assigned to write in full. 3 Momentof Inertia -Dependenceof I on R2 The moment of inertia for a mass point is mR2. To determine experimentally the deflection at two points on a simply-supported beam carrying point loads and to check the results by Macaulay's method. Using experimental quantities, the moment of inertia was calculated to be 6. With the mass M of the flywheel by itself measured as 0. To do this you will first find the total moment of inertia of the system, which represents the combination of the disk's moment of inertia, I 1, and the moment of inertia of the ring or bar, I 2. Click here 👆 to get an answer to your question ️ An object's moment of inertia is 2. Plot the data and determine moment of inertia Inew from the slope. 667 mm4, effective moment of inertia (Ie) is 6368. This eliminates the graphical method and leaves you with 10 values for moment of inertia to average in the end. 0 rad/s per…. PHY221 Lab 10 Exploring Rotational Motion: The Rotary Motion Sensor, Rotational Kinematics, Rotational Dynamics In the torque equation, above, I is the moment of inertia, analogous to mass m. The ring's geometric moment of inertia was. Theory: The flywheel consists of a weighty round disc/massive wheel fixed with a strong axle projecting on either side. Physics 14 Lab Manual A Resonant Circuit Page 2. Newton ¶s first law Questions: 1. Bending test - Lab report. Deflection lab report. DESCRIPTION OF SET UP : For conducting the experiment, a bar is supported by nylon thread into the hook. ) The motor is stable for all frequencies. This motion will be recorded by a motion sensor and used to analyze this law. Inertia Laboratory Report The objective of this report is to find the Moment of Inertia of a disc by means of investigating the use of rotational motion. Always include: names. 00924) and the calculated moment of inertia (0. *****CONCLUSION***** The objective of this experiment is to determine and compare the mass moment of inertia of a disk and ring, and also to compare the moment of inertia of solid disk rotated at two different axes: at the center and along its diameter. I need a full explantion of every answer because this is a lab report. Results: Span of the beam: L = 1 mm Width of the beam: b = 25 mm Depth of the beam: h = 6 mm Thus Moment of inertia is: E = 200 Gap = 2 N/ Theoretical deflections are: -0. The paper “ Studying Gyroscope in a Steady Precession" is a potent variant of a lab report on physics. Table 1 m( kg ) a ( ) disk only I ( ) disk only a ( ) disk and ring I ( ) disk and ring. moment of inertia of parachute canopy models is described. Experiment: Determination of moment of Inertia of a Fly Wheel. COMSOL Multiphysics - Official Site List of criteria used to write a lab report, such as hypothesis, data table, conclusions. 9 10/29 ~ 11/4 Lab 126: Conservation of Momentum and Impulse-Momentum Theorem 10 11/5 ~ 11/11 Lab 114: Uniform Circular Motion 11 11/12 ~ 11/18 Lab 9a1: Moment of Inertia and Energy in Rotational Motion 12 11/19 ~ 11/25 Lab 127: Torque and Rotational Inertia 13* 11/26 ~ 12/2 Lab 121: Rotational Static Equilibrium---Forces on a Strut. Write these up in the Conclusion section of your final report. The thin string used and a large mass reduces frictional effects and air drag. is the moment of inertia on an object (in kg·m. A linear fit over the whole data will appear with a text box containing all the fitting parameters. PASCO Advantage: The Super Pulley/Photogate System makes it easy for students to set up the apparatus and take data. Moment of Inertia of a flywheel 1. Experiment 7 - Rotation and Gyroscopic Precession. Deflection of beams (Effect of beam length and width) 1. Torque Physics 211 Lab the weight of the object acts is at the center of mass of the object. its angular velocity is increasing at the rate of 4. 3 To compare experimentally observed values of critical stress with the theoretical values. Ehrgott 2/11 04/07/01 I. 1 EXPERIMENT NO. 0 Introduction: This experiment is an introduction to some basic concepts of rotational dynamics. ) The crossover frequency decreases from 192 to 67. The Law of Conservation of Energy states that mechanical energy sould be conserved in a system in the absence of friction. All experiments 1 1. Development of a Flywheel System for the Determination of Moment of Inertia Olugboji O. As said in the introduction, we know that linear speed is dependent on it's distance away from the center of rotation. By using the Newton ’s Law for the circulation: This equation is the same as the general equation which is “Simple Harmonic Motion”. Conclusion! Report your results for the table by itself and for the object you are assigned. T = 2π √( 𝐥 𝒈 ) Where T= Periodic Time in Seconds. The moment of inertia of an unknown was obtained by weighing the object, establishing its period on the pendulum, locating a quantity calculated from its period squared and its weight as an. • plot your data and analyze it using the Vernier Logger Pro™ software. The mass moment of inertia with respect to an axis is also defined as the product of the mass times the distance from the axis squared. Apparatus ========= Flywheel String Slotted mass on hanger Stop-watch Vernier caliper Metre ruler Theory ====== The rotational kinetic energy can be defined by the equation K. Forces that do not conserve energy are called non-conservative forces. 226 - Moment of force about different points. e • Internuclear Separation, r. 3 To compare experimentally observed values of critical stress with the theoretical values. Similarly, the moment of inertia of a solid disk about its center of mass is given by MD where M is the disk's mass and D is the disk's diameter. Second polar moment of inertia of the shaft can be finding out by following formula where D is diameter of the shaft. Write a paragraph discussing your results. Conclusion: model simply has less external factors to influence the results. Appendix (Optional) – any other information to support the report. This is due to the fact that the forces will be applied tangentially, i. One end of a cord is loosely looped around the peg and its other end carries the weight-hanger. where is angular velocity of the solid. The unit of rotational inertia is (kg-m2) We can break down objects into pieces and analyze each piece mathematically. Formula used: The moment of inertia of a flywheel is given by following formula: π π = = π π ω= × ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ + − = ω ⎟⎟. Here we learn how to find the exact metacenter or simply the metacentric height of a floating body, for example in ships or other similar floating vessels. Always include: names. The bifilar suspension is a technique used to determine the moment of inertia of any type of object about any point on the object. A formal lab report should include a title page like this one, with all of the appropriate information -- a descriptive title, your name, the course title, the date, and an abstract. A new random group partner will be assigned every two weeks. The roll of Gorilla tape has a shape known as an annular cylinder. References [1]Pasco CI-6538 [2]Pasco CI-6693 [3] www. This relation can be thought of as Newton's Second Law for rotation. In this particular experiment the Law of Conservation of Momentum was verified. All other measurement will be taken as the experiment is completed. 063 m, then its moment of inertia MR 2/2 (the moment of inertia of a solid disk about it axis) should be 0. SI unit of moment of a force is Newton-metre (Nm). In this project, we focus on the finding moment of inertia. First you will measure the coefficients of static friction between several combinations of surfaces using a heavy block and a set of hanging masses. This moment of inertia will have to be subtracted from the measured moments of inertia of any configurations of mass placed upon the test apparatus. The percent difference between the experimental moment of inertia (0. Research proposal on with conclusion for college essay. In this lab your goal will be to determine the moment of inertia for two masses rotating in a. After five days, the penalty will not increase from 20 points and late reports will be accepted up until the last class day of the semester. ‹ Experiment 6 - Biceps Muscle Model up. 1201 LAB MANUAL TABLE OF CONTENTS WARNING: Problem #4: Moment of Inertia of a Complex System 109. According to Newton’s first law (also known as the principle of inertia), a body with no net force acting on it will either remain at rest or continue to move with uniform speed in a straight line, according to its initial condition of motion. is Planck’s constant. torque we nd that the product of the moment of inertia, spin rate, and pre-cession rate is equal to the applied torque. ) but must address the goal of the project, documentation of your calculations, any needed sketches to illustrate your point, and a conclusion addressing the determined location of the hoop and safety net. T = 2π √( 𝐥 𝒈 ) Where T= Periodic Time in Seconds. In classical mechanics, moment of inertia, also called mass moment, rotational inertia, polar moment of inertia of mass, or the angular mass, (SI units kg·m²) is a measure of an object's resistance to changes to its rotation. Greater the mass greater will be moment of inertia less the mass less will be moment of inertia. Detach it and use it as the first page of your lab report. frictional damping. Lab bench, 90 cm rod clamped vertically to bench clamp, 2 double clamps, 40 cm. 77429 and an r-square value: 0. This lab has the virtue of giving a. This type of acceleration happens when there is a constant net force. Show all Measured Values and Required Calculations. At least ten experiments are to be performed in the semester. Measuring the Moment of Inertia of a Flywheel Objective ===== Measure the angular velocity of a flywheel and use conservation of energy to calculate its moment of inertia. Angiolillo #PHY 1032 (General Physics Lab I) #Saint Joseph's University 09 Oct 2: Verifying Newton’s Second Law #Dr. The vibration is started by some input of energy but the vibrations die away with time as the energy is dissipated. 2 Experiment No 1. Through these three experiments, we proved that angular and linear measurements are related and how torque and moment of inertia affect these measurements. This experiment has proven to be very successful in allowing students to calculate and directly measure the rotational inertia of a (somewhat) irregular object, as the positions of the masses is varied. where is the moment of inertia of the rotating system, I r is the spindle radius, and Tr is the torque applied by the string to the spindle. These values were ____% off the accepted value of 9. The Objective of the lab is always given with each experiment; you only need to copy it in your report. The moment of inertia I about this axis is given by the sum of all the products ( /mi ri 2) calculated for each element, I = i ( /mi ri 2). A Department of Mechanical Engineering, Federal University of Technology Minna, Niger State, Nigeria Abstract The development and testing of a flywheel system for the determination of moment of inertia is presented. The counterweight is adjusted so that the beam is horizontal when there is no water in the tank. General Physics 1 Laboratory 2017 8 I. Torque and Moments of Inertia - MBL I. Development of a model for the effective moment inertia development of a model for the effective moment inertia a review on stress and deformation ysis of curved beams a review on stress and deformation ysis of curved beams statics. When you are done with this lab… 13 0. Once a force is applied to the mass, the resistance due to the acceleration propagates forward with the speed c + s and to the rear of the mass with the speed c - s, where s is the speed of the mass with respect to a stationary observer,. Students in late lab need to watch the video and obtain the data from there. Predict where runner1 (sprinter) should let go of the ball so it will hit the target 4. 226 - Moment of force about different points. 32 32 Theory- A flywheel is simply a heavy wheel with a long axle supported in bearings such that it can rest in any position; that is, its CG lies on the axis of rotation. Moment of Inertia = 3. Remaining two experiments may either be performed from the above list or designed & set by the concerned institute as per the scope of the syllabus. Note that the rotational inertia of a body depends on the particular axis about which it is rotating as well as on the shape of the body and the manner in which its mass is distributed. 1 Objectives 2In this lab the lever arm will be the radius at which the force is applied (the radius of the axle). It is sufficient to observe. The measured initial velocity of the projectile at the first click was 5. The students have to write-up two laboratory reports and one assignment report. The formula. , 2012) Meanwhile, we performed an experiment for moment of inertia using the disk and ring. The group lab report is due at the beginning of the next class. , where M is the mass and R is the distance the mass is from the axis of rotation. The long pendulum arm and a small swing about a small angle help in the approximation of the …. State the conditions for equilibrium and apply them to simple problems. Rotational Motion and Moment of Inertia Lab Setup Figure 1 shows a ramp and three distinctly different objects that you will release from rest at the top. The moment of inertia is found by two methods and the results are compared. Change friction and see how it affects the motion of objects. discuss the undesirable results in all reports (where appropriate) to become proficient in expressing scientific arguments as opposed to non-biased reasoning,. The location of the center of pressure can be measured using the apparatus sketched in Figure 3. Moment of inertia is one of the inertial properties elements. Spring 2013 Lab Report Experiment # 3 Bending of Beams Section # ThTh12 Group # 1 Ömer Ege Çalışkan Serhat Karakuz Noyan Uğur Renda Turgut Soydan 20. • To understand the concept of angular momentum. Lab report. frictional damping. Report flows from one section to the next with only minor interruptions, each part is neat and easily read, verbiage is precise, some mechanical, grammatical or spelling errors are present but do not affect. The moment of inertia is the object's resistance to change in its rotational motion. 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. The transverse moment of inertia of the vessels water plane needs to be computed next. Write these up in the Conclusion section of your final report. is Planck's constant. Conservation laws are very powerful tools in understanding physical phenomena. Attendance to lab session is compulsory. In this lab, you will use the principle of conservation of angular momentum to measure the moment of inertia of various objects. This eliminates the graphical method and leaves you with 10 values for moment of inertia to average in the end. This type of acceleration happens when there is a constant net force. Observations and diagrams should be included in. Conservation of mechanical energy lab report conclusion. behavior follows Hooke's law to within the limits of accuracy of the experiment. For double angles with the short leg back-to-back, the moment of inertia about the local 2-2 member axis is larger than the moment of inertia about the local 3-3 member axis. The lab report is graded on the student’s participation in the actual experiment and the written report that is turned in the following day. Find the theoretical moment of inertia using equations below and compare with experimental results. PHY 133 Lab 7 - Angular Momentum The purpose of this lab is to study the relationship between torque, moment of inertia, and angular acceleration, and to verify the conservation of angular momentum. Graphical solutions for the addition of vectors will be carried out. Lab report. Experimental Objectives In this lab experiment you have a rotating disk attachment, a short cylindrical tube which ts into a. The objective of this laboratory experiment is to find the relationship between the deflection (y) at the centre of a simply supported beam and the span, width. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Do your two measured values for the moment of inertia agree? Answer this question in the Conclusion section of your final report. Galileo refined the concept of inertia. Conclusion From the experiment, the moment of inertia of flywheel had been studied in which the results are in the dependency of mass and radius of the wheel. A formal lab report should include a title page like this one, with all of the appropriate information -- a descriptive title, your name, the course title, the date, and an abstract. Lab 10 – 24-Hour Towing Service 4. 2 2 1 8 34 1. integrated value for the moment of inertia of a metal bar 12 ml2 I =. These two quantities, no matter how much they change, will not affect the moment of inertia in any way. HYPOTHESIS. Conservation of Momentum. In your data table in Part 1, you have two values for the moment of inertia. The moment of inertia of two wheel and axle units, one flywheel and a connecting rod has been estimated using various experimental methods and the results are outlined below. This moment of inertia will have to be subtracted from the measured moments of inertia of any configurations of mass placed upon the test apparatus. This template can serve as a guideline for any lab report. • Moment of Inertia, I. This eliminates the graphical method and leaves you with 10 values for moment of inertia to average in the end. See Materials_General. Some objects require more force to change the speed of this rotation than others. Two values of the torsional yield stress, to (tension and torsion) d. Result of this equation gives the experimental moment of inertia of each object. INERTIA LAB 1. Lab 8 – Going Nuts 2. In the lab we had a fly wheel connected to a mass on a string, and measured the position of a point on the wheel as the mass was accelerating downwards. com [4] www. Moment of inertia is also depending upon the mass of body. Instead of using the traditional symbols for velocity, acceleration, displacement, and theta; we use symbols for angular velocity, angular acceleration, and angular displacement. Experiment 11: Rotational Inertia of Disk and Ring Purpose: The purpose of this experiment is to experimentally find the rotational inertia of a ring and a disk and to verify that these values correspond to the calculated theoretical values. SI unit of moment of a force is Newton-metre (Nm). As said in the introduction, we know that linear speed is dependent on it's distance away from the center of rotation. Apparatus ========= Flywheel String Slotted mass on hanger Stop-watch Vernier caliper Metre ruler Theory ====== The rotational kinetic energy can be defined by the equation K. The Objective of the lab is always given with each experiment; you only need to copy it in your report. The experimental values of moment of inertia are found to have huge deviations from the theoretical one. Observations and diagrams should be included in. Worked examples involving Bending Stess and Moments of Inertia. In this project, we focus on the finding moment of inertia. From the figure above, O is the moment center and d is the moment arm. Finally, a. In your data table in Part 1, you have two values for the moment of inertia. 3) where I o = moment of inertia about the level of zero pressure for the surface on which the pressure force is acting and = moment of inertia about the horizontal centroid axis. HINT: Refer To Your Answers To Prediction 2 In This Pre-lab To Get Some Basic Idea About The Type Of Motion The Disk And The Mass. A formal lab report should include a title page like this one, with all of the appropriate information -- a descriptive title, your name, the course title, the date, and an abstract. Toy Car Motion Lab. Momentum, Work and Energy. The relationship between mass and inertia has much to do with the first two laws of physics by Isaac Newton, which are that an object at rest will tend to stay at rest and an object in motion will tend to stay in motion. Do 1 practice run: have a runner try to drop ball on the target 2. Moment of Inertia, Version 1. A bigger issue may be the moment of inertia of the pulley itself -- its rotation rate increases as the mass falls, so some of the. Please also fill in the missing equations 5, 7 and 9. Forces that do not conserve energy are called non-conservative forces. · Be able to calculate the Moment of Inertia for a. moment of inertia and slope vs. 09 x 10^-4 kgm^2. This can be unavoidable. Write these up in the Conclusion section of your final report. 50 Experiment 9: Moments of Inertia Advance Reading Text: Torque, Rotational Motion, Moment of Inertia. With this model, you are GUESSING theoretical uncertenties for all variables in you equation for moment of inertia. All raw data, calculations, and conclusions are to be recorded in a lab logbook. At least eight experiments should be performed from the above list. Diagram target in lab notebook 3. Also it contains the methods to derive the Mass Moment of Inertia of a disc/cylinder, sphere, thin rod and thin ring or hoop. pdf), Text File (. The slope of the graph will be the moment of inertia of the system. Lab 9 – Buckle Up 3. Rotational Motion: Moment of Inertia 7. Conservation laws are very powerful tools in understanding physical phenomena. QUICK REPORT. Each object will roll downward to the end of the ramp without slipping, resulting in rotational motion. Asked in School Subjects , Statistics. Physics 2A Rotational Motion and Moment of Inertia ©2003 Las Positas College, Physics Department Staff Revised 10/04/2010 ©WMPezzaglia 6 of 10 II. g, Modulus of elasticity, Modulus of rigidity, Shear strength, shear strain and ductility in torsion. moment of inertia of parachute canopy models is described. conclusions based on their data. 000292 kg-m2. Title of the lab, names of lab partners (other than me), date 2. One is found from the theoretical equation for moment of inertia that is introduced in the Theory section and other is an experimental value obtained using Newton's 2 nd law for rotational motion, τ = Iα, in conjunction with the definition of torque, τ =rF. Second Law The vector sum of the external forces F {\displaystyle F} on an object is equal to the mass m {\displaystyle m} of that object multiplied by the acceleration vector a {\displaystyle a} of the object, or. To see the effects of moment of inertia and elastic modulus on the maximum deflection, it is important to examine the slope vs. Newton’s First Law, once the egg began moving, it didn’t want to stop. A ring and a disk. By measuring the motion of the hanging mass, we can ﬁnd the moment of inertia of the rotating object. as the moment of inertia for the bar magnet and α as the angular acceleration of the bar magnet. Inertia is the quality a mass, or any object, has that keeps it still, if it is not moving, or in motion, if it is in motion. moment of inertia of parachute canopy models is described. The following two items must appear in your lab report: Table 1: A table with 6 columns is shown on the following page. Figure 1: Moment of Inertia Apparatus But not every object lends itself well to easy calculation of moment of inertia. If an object has non-uniform density or uneven weight dis-tribution it can be difﬁcult, if not im-possible, to calculate moment of in-ertia. The hinge applies a clockwise (+) moment (torque) to the RHS, and a counter-clockwise (-) moment to the LHS. Mathematically, the moment of inertia I relates an applied torque τ to the resulting angular acceleration α through the equation, τ = Iα (Eq. (3) You will the equation above to find use I by making a linear fit using Excel. Lab 8: Buoyancy and Archimedes Principle Description In this lab, you will explore the force that displacing a ﬂuid (liquid or gas) will exert on the body displacing the ﬂuid. Lecture notes cannot be used as reference. For the physical pendulum, we use τ = Ι α, or torque = moment of inertia times angular acceleration. For Example, The Moment Of Inertia For A Ring About Its Center Of Mass Is Given By M (Di Da) Where M Is The Ring's Mass, D1. 99792458* 10 /sec 6. Please also fill in the missing equations 5, 7 and 9. (Uncertainty analysis required for Lab 2) Quiz, Measurements, TM Lab 1 due. The vibration is started by some input of energy but the vibrations die away with time as the energy is dissipated. Physics 2015- Lab 7 Rotational Motion Lab 7 - Rotational Motion Purpose: This Lab is intended as an introduction to the concepts of rotational inertia, rotational energy, and angular momentum. The long pendulum arm and a small swing about a small angle help in the approximation of the …. 18 Lab 7: Centripetal Acceleration Oct. 27 Lab 4: Dynamics Oct. Moment of inertia is also depending upon the mass of body. With this model, you are GUESSING theoretical uncertenties for all variables in you equation for moment of inertia. m = mass of flywheel (kg, lbm) r = radius (m, ft) Inertial constants of some common types of flywheels. The moments of inertia of an aircraft are important in understanding its aerodynamic properties and thus its translational and rotational mo tion during flight. Lab 10 – 24-Hour Towing Service 4. You will observe the behavior of a system similar with the one in the scenario: a block will be allowed to fall pulling on a. The lab report is graded on the student’s participation in the actual experiment and the written report that is turned in the following day. Conclusion Stability analysis – the Nyquist plot shows the following trends. Is the calculated moment of inertia larger, smaller, or the same as the experimental value? Is this what you would expect? Why or why not?. "n" and "K" from the tension test (use these in the calculations) e. Experiment, we can gain familiarity with the torsion test and the useful data. Based on the experiment conducted, all the values of mass moment of inertia at the centre of gravity, I G and at the suspension point, I O on different end, O 1 and O 2 have been determined according to the experiment and theory. Second polar moment of inertia of the shaft can be finding out by following formula where D is diameter of. Inertia Laboratory Report The objective of this report is to find the Moment of Inertia of a disc by means of investigating the use of rotational motion. Change in momentum was calculated to be. Moment of Inertia, Version 1. The Law of Conservation of Angular Momentum states that the initial and final angular momentum are equal and that if no net torque acts on an object then there is no change in angular momentum. One other group used a larger ball as well as a faster launch speed in this case, both moment of inertia was increased as well as angular velocity. From the experiment and data analysis above, a number of things. (2) For small angle, sinT| T, and Equation (2) becomes inertial B I P DT. 000292 kg-m2. The residual of the data showed that it was a good t for a linear model, and the least squares linear t of the data had t parameters of chi-squared: 0. Since this lab is designed for Cal Poly students, the project team plans to make this lab easy to run, safe, robust, a learning experience, and most importantly interesting and relevant to. For example, the moment of inertia for a ring about its center of mass is given by M (Di Da) where M is the ring's mass, D1 is the ring's inner diameter, and D2 is the ring's outer diameter. is the moment of inertia on an object (in kg·m. CONCLUSION Based on the results, the Moment of Inertia of an object is constant. 132 kg, and its radius R being 0. Students must save all the graded lab reports. , perpendic- Rotational Motion: Moment of Inertia δI=I. The moment of inertia I of the rotor can be calculated by using the method of superposition. e • Internuclear Separation, r. 1 Objectives 2In this lab the lever arm will be the radius at which the force is applied (the radius of the axle). The lab report is graded on the student’s participation in the actual experiment and the written report that is turned in the following day. k = inertial constant - depends on the shape of the flywheel. Record observations and diagram where ball was released and where it hit ground in lab notebook 6. The proximity of these values supports the impulse momentum theorem. The expression in Equation (4. • To understand the concept of angular momentum. Evaluate: Finish lab report and make a poster with findings. Uncomfortable Overhaul Emotional Inertia was made assuming a mod like this will also be installed. All rotating objects have an axis to rotate. There is a little peg on the axle. 3472 mm 64= = 0. Linear motion, motion in one spatial dimension. Setup & Calibration 1. As in the experiment above, the time period. Physics Lab Report 494 Words | 2 Pages. Deflection of beams (Effect of beam length and width) 1. _____ _____ You will return this handout to the instructor at the end of the lab period. 25 Lab 8: Moment of Inertia Nov. Physics 1050 Experiment 6 Introduction In this experiment, you will determine the moment of inertia for a metal disk by studying how its angular acceleration changes with the magnitude of the torque applied to it by a hanging mass. 000292 kg-m2. 2 Experiment No 1. FIRST YEAR PHYSICS LABORATORY (P141) MANUAL LIST OF EXPERIMENTS 2015-16 1. One is found from the theoretical equation for moment of inertia that is introduced in the Theory section and other is an experimental value obtained using Newton's 2 nd law for rotational motion, τ = Iα, in conjunction with the definition of torque, τ =rF. Deflection Of Simply Supported Beam Lab Report Conclusion. One end of a cord is loosely looped around the peg and its other end carries the weight-hanger. At least ten experiments are to be performed in the semester. The long pendulum arm and a small swing about a small angle help in the approximation of the […]. NOTE: On the last page of the lab there is a chart that you can use to fill in your data. Based on the experiment conducted, all the values of mass moment of inertia at the centre of gravity, I G and at the suspension point, I O on different end, O 1 and O 2 have been determined according to the experiment and theory. Record the distance from the center of rotation to the center of each of the masses. Antitorque correction The above derivation only takes into account the con-tribution of nearest large sphere to the small spheres on the torsion rod. - Set up lab for use in DataStudio - Made experiment, where we found Angular Acceleration via slope of Angular Velocity vs Time graph - Did experiment for both Disk Only and Disk w/ Ring; re-ran experiment to find inaccuracies - Found moment of inertia for ring only by subtracting Disk Only from Disk w/ Ring. Create an applied force and see how it makes objects move. All in all, the Moment of inertia is the resistance of an object to change its current state. A simple pendulum consists of a massive bob suspended by a string or rod of negligible. The aim of this experiment was to measure the strain in a metal bar with the use of strain gages. is Planck’s constant. It may be small but it won't be zero. ME20023: Plane Frame Lab Nomenclature Stress L Length Strain P Load E Elastic Modulus A Cross-sectional Area I Area Moment of Inertia m Member K Column E↵ective Length Factor r Support Reaction b Width j Joint d Thickness M Moment 1 Introduction & Objectives Any undergraduate student of mechanical engineering (certainly those of the Uni-. The theoretical drag of the airfoil can be estimated by making a flat plate assumption and analyzing the laminar and turbulent cases separately5. So the ball should roll on forever. Use wheels of known moment of inertia. This moment of inertia will have to be subtracted from the measured moments of inertia of any configurations of mass placed upon the test apparatus. 9dB as inertia increases. Evaluate: Finish lab report and make a poster with findings. The purpose of this experiment is to find the rotational inertia of a point mass experimentally and to verify that this value corresponds to the calculated theoretical value. DESCRIPTION OF SET UP : For conducting the experiment, a bar is supported by nylon thread into the hook. We found that, theoretically, it should equal 2. Physics 2107 Moments of Inertia Experiment 1 Read the following background/setup and ensure you are familiar with the theory required for the experiment. Physics 14 Lab Manual A Resonant Circuit Page 2. To find Moment of Inertia of a Fly Wheel. PHY221 Lab 10 Exploring Rotational Motion: The Rotary Motion Sensor, Rotational Kinematics, Rotational Dynamics In the torque equation, above, I is the moment of inertia, analogous to mass m. Then, after this data is recorded, attach the square bar to the small torque pulley using a red-capped thumbscrew and repeat the measurement process to determine moment of inertia I for the disk + pulley + square bar. The member forces are referenced with respect to the principal axes and not the local member axes. The percent difference of the geometric and experimental answers is 3. About your lab report: Write your report in your lab journal. Moment of Inertia of a flywheel 1. Newton's Second Law in angular form: - for general case. The experimental moment of inertia will be compared with the theoretical moment of inertia for each. The resulting angular acceleration is measured using the slope of a graph of Angular Velocity vs. Record the distance from the center of rotation to the center of each of the masses. The buoyancy, 𝐹. Conclusion: part 3 The time period of the wheel about a central axis was found to be T=(5. From this it can be concluded that the second moment of inertia is property of beam which resist the bending or deflection. Theory: Theoretically, the rotational inertia, I, of a point mass is given by I = MR2, where M is the mass, R is the distance the mass is from the axis of rotation. To simplify the calculation, we neglect the small hub at the centre and the rounding of all sharp edges. This conclusion also coincides with the theory since it also suggests that the elastic modulus and the deflection amount are inversely proportional. htm for our list of material data (Same as available during Tester). As with many tertiary student genres, however, not all students have experience with the genre before going to university. Data and Calculations Part A: Moment of inertia of the apparatus (I 0). A uniform metre rule is freely pivoted at the 15cm mark and it balances horizontally when a body of mass 40g is hung from the. 063 m, then its moment of inertia MR 2/2 (the moment of inertia of a solid disk about it axis) should be 0. Angular Acceleration. Inertia Laboratory Report The objective of this report is to find the Moment of Inertia of a disc by means of investigating the use of rotational motion. I measured the reverb time for a new and old lab at a school I visited. Since "=I!, rearranges to ! " I=. Momentum, Work and Energy. where I is the moment of inertia of the suspended mass about its axis of rotation and k is the torsional constant. The objective of this experiment is to find the metacentric height and asses the. A complete lab write‐up includes a Title, a Purpose, a Data section, and a Conclusion/Discussion. docx 26 January 2016 2. However, a fairly realistic analysis of the moment of inertia I of a flywheel and its axle and to estimate the frictional torque. Their angular velocity, however, is the same. 3 Momentof Inertia -Dependenceof I on R2 The moment of inertia for a mass point is mR2. Answer: The Principle of Moments: When a body is in equilibrium, the sum of the anti-clockwise moment about any point is equal to the sum of the clockwise moments about that point. The expression added to the center of mass moment of inertia will be recognized as the moment of inertia of a point mass - the moment of inertia about a parallel axis is the center of mass moment plus the moment of inertia of the entire object treated as a point mass at the center of mass. It is exponentially related to the radius. Learning alone can not compete against each other. Record observations and diagram where ball was released and where it hit ground in lab notebook 6. Lab bench, 90 cm rod clamped vertically to bench clamp, 2 double clamps, 40 cm. The moment of inertia is defined as the tendency of matter to resist any change in its state of motion or state of rest. perform calculations. The percentage difference between the two is calculated to be 2. Torque and Moments of Inertia - MBL I. Consider the situation shown in ﬁgure 8. Topic: Compound Pendulum. PHY 133 Lab 7 - Angular Momentum The purpose of this lab is to study the relationship between torque, moment of inertia, and angular acceleration, and to verify the conservation of angular momentum. The Edibon Hydrostatic Pressure System module used in this lab consists on a quadrant assembled on the arm of a scale that swings around an axis. Change in momentum was calculated to be. m = mass of flywheel (kg, lbm) r = radius (m, ft) Inertial constants of some common types of flywheels. Using experimental quantities, the moment of inertia was calculated to be 6. To explore the use of least-squares fitting procedures in analyzing a dynamical system. This motion will be recorded by a motion sensor and used to analyze this law. Calculate the moment of inertia of the aluminum disk and compare it to the experimentally determined moment of inertia of the system. As mentioned earlier, the value of 9. 05) between running economy and BMI, foot length, lower-leg volume and lower-leg moment of inertia. In this experiment we will examine the clockwise and counterclockwise torque of a meter stick balanced on a fulcrum. Experimental Objectives In this lab experiment you have a rotating disk attachment, a short cylindrical tube which ts into a. Theoretically, the rotational inertia, I, of a point mass is given by I=MR2. So the ball should roll on forever. A your description of the lab report format is discussed at the end of this introduction. Do 1 practice run: have a runner try to drop ball on the target 2. Using similar arguments to those employed for the case of the simple pendulum (recalling that all the weight of the pendulum acts at its centre of mass), we can write. Diagram target in lab notebook 3. Rotational inertia apparatus 1‐meter string Mass holder Assorted masses (1g ‐ 100g) Computer Meter Stick Vernier caliper INTRODUCTION: The amount of torque(τ) applied to the axle of the rotational dynamics apparatus is varied by adding additional mass to the string attached to that axle. T = 2π √( 𝐥 𝒈 ) Where T= Periodic Time in Seconds. The Law of Conservation of Angular Momentum states that the initial and final angular momentum are equal and that if no net torque acts on an object then there is no change in angular momentum. Experimental Objectives In this lab experiment you have a rotating disk attachment, a short cylindrical tube which ts into a. 229 Y-coordinate of the point of application of the force. The moment of inertia is the object's resistance to change in its rotational motion. First, the concepts of proportional-derivative controller design for such a plant is to be studied through a theoretical pre-lab exercise. section 20362. The experimental moment of inertia will be compared with the theoretical moment of inertia for each. Short reverb times like this are excellent for speech and music at home (but hopeless in a concert hall). Two values for the shear modulus, G (tension and torsion) c. 2008 1 Aim of Experiment We will be measuring the Moment of Inertia (I R) of a ring using the torsional properties of a wire and a body of known Moment of Inertia 2 Apparatus required. The fact that this calculated value falls on the lower border of the specified range is problematic. you will use a rubber band to measure forces accurately, determine the mass of long rod using torque equilibrium and determine the moment of inertia of a rod using Newton’s 2nd law of motion for rotation. The definition of rotational dynamics would be; the study of forces and torques and their effect on motion, as opposed to kinematics (see ref.