Physics 2a rotational motion and moment of inertia 2003 las positas college, physics department staff revised 10042010 wmpezzaglia 6 of 10 ii. Oct 26, 2017 this physics video tutorial provides a basic introduction into rotational motion. Here, you will use a rotary motion sensor to measure the rotational angular variables. 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. The goal of this experiment is to implement two closed loop control systems for the rover. The physics classroom serves students, teachers and classrooms by providing classroomready resources that utilize an easytounderstand language that makes learning interactive and multidimensional. Written by teachers for teachers and students, the physics classroom provides a wealth of resources that meets the varied needs of both students and teachers.
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. The following table shows the analogous quantities in rotational motion to translational motion used in this lab. During this lab we will study what rotational inertia is and how different shapes of masses and different masses behave inertially when compared to each other. Investigate how changing the moment of inertia of a body a ects its rotational motion. 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. This week you will do two experiments involving rolling objects for which friction can. This science experiment video has been created by science teacher trainers from regional teacher training centres in cambodia with support from vvob, open institute and eeqp adb. Instead of using the traditional symbols for velocity, acceleration, displacement, and theta.
We will calculate these values through three standard setups that you may be familiar with from your lecture series. This resource manual outlines the basic expectations for each lab, the use of some but not all of the important equipment and software, and other miscellaneous information that may prove useful. To explore the use of leastsquares fitting procedures in analyzing a dynamical system. Systems of particles and rotational motion 143 axis, every particle of the body moves in a circle, which lies in a plane perpendicular to the axis and has its centre on the axis. Rotational dynamics advanced placement lab experiments pasco. It describes the difference between linear motion or translational motion and rotational motion. If the relative distance between the particles of a system do not changes on applying force, then it called a rigtd body. Place the knifeedge clamp at the 50 cm position of the meter stick with the screw pointing down. The laboratory portion of physics 14011501 requires considerable creative input. Rotational motion and the moment of inertia ud physics. The equations for rotational motion with constant angular acceleration have the same form as those for linear motion with constant acceleration. Now we will focus on the dynamics of rotational motion about a.
This lab is intended as an introduction to the concepts of rotational inertia, rotational energy, and angular momentum. For rotational motion, we will find direct analogs to force and mass that behave just as we would expect from our earlier experiences. Rotational inertia and moment of inertia before we can consider the rotation of anything other than a point mass like the one in figure 2, we must extend the idea of rotational inertia to all types of objects. Uniform circular motion experiment setup and procedure. An object weighing 10 n swings at the end of a rope that is 0. Rotational kinematicsdynamics mit opencourseware free. Repeat the procedure from part a for finding the angular acceleration of the apparatus alone. Feb 01, 2012 this science experiment video has been created by science teacher trainers from regional teacher training centres in cambodia with support from vvob, open institute and eeqp adb.
We describe a study of velocitydependent drag in rotational motion that is suitable for an undergraduate laboratory experiment. Rotational inertia of a point mass 8 experiment guide b. The motion of a rigid body which takes place in such a way that all of its particles move in circles about an axis with a common angular velocity. Perform the following analysis to determine the moment of inertia of the platter. Make sure no other sensor is connected to the interface box. Dynamics is concerned with force and mass and their effects on motion. Objective to determine the moment of inertia of a rotating system, alter the system, and accurately predict the new moment of inertia.
To determine this equation, we recall a familiar kinematic equation for translational, or straightline, motion. If some percent of mechanical energy has been lost, where did it get transferred to. A rigid body performs a pure rotational motion, if each particle of the body moves in a circle, and the centre of all the circles lie on a straight line called the axes of rotation. Tornadoes blow houses away as if they were made of paper and have been known to. The natural motion for the penny is to move in a straight line. Rotational motions of a rigid body mechanics physics. Theory momentofinertiai can be understood as the rotational analog of mass. In this lab, students use rotary motion sensors to determine the mathematical relationship between torque, rotational inertia, and angular acceleration of a rotating object. Moment of inertia the rotational analogue of mass is called moment of inertia, or rotational inertia. You will also determine the torque exerted on the disk by friction at its axis. Rotational motion article about rotational motion by the.
Rotational dynamics, moment of inertia, torque and. Rotational motion january 26, 2003 up until now we have dealt with mostly translational motion in one dimension. An experiment in rotational motion with linear and quadratic. Conclusion provide a clear statement as to whether or not the objective of the lab rotational motion is met. From the top menu, click analyzethen linear fitto determine the slope of the line. This physics video tutorial provides a basic introduction into rotational motion. An experiment in rotational motion with linear and. You do not need uncertainty for the acceleration values. In this lab, we got to experiment with rotational dynamics. For rotational motion, we will find direct analogs to force and mass that behave just. Angular kinematic variables, angular momentum, newtons 2nd law for rotational motion, torque, and moments of inertia will be explored. Rotational motion an overview sciencedirect topics. Centre of mass of a system is the point that behaves as whole mass of the system is concentrated at it and all external forces are acting on it. Place the knifeedge clamp at the 50 cm position of.
Dynamics for rotational motion is completely analogous to linear or translational dynamics. Openended overview in this experiment, students will determine the moment of inertia or called rotational inertia of an object about an axis of rotation using two methods. A known torque is applied to the threestep pulley on the rotary motion sensor, causing a disk and ring to rotate. To study properties of the moment of inertia and its effect on rotational motion. Analogous to the translational motion, a quantity called angular momentum is defined in rotational motion, so is the conservation law of angular momentum. Students should be keeping artifacts lab notebook, portfolio, etc. Rotational motion with a photogate muhammad sabieh anwar and waseem ashraf lums school of science and engineering may 22, 2019 version 20191 the purpose of this experiment is to get familiarized with rotational motion. To understand the rotational motion of a rigid body. The merrygoround written mayjune 1993 by melissa wafer 95 in this laboratory period, you will use something that should be familiar to you to explain something that is new and mysterious. Lab 9 rotational dynamics l093 university of virginia physics department phys 1429, spring 2012 shapes are given in figure 2. In this lab, students use rotary motion sensors to determine the mathematical relationship between torque, rotational inertia, and angular acceleration of a. After taking data for each run, click the velocity graph this is the. Angular position, velocity, and acceleration in previous labs, you used a motion sensor to measure the translational linear variables x, v, a.
Rotational inertia of a point mass 6 experiment guide equipment setup 1. Rotational motion is different from linear motion in ways that can be confusing and counterintuitive. Using standard teachinglaboratory equipment to obtain the data, we. Rotary motion sensor rms rotational motion accessory. Closedloop control for linear and rotational motion. The experiment is conducted by recording the time taken for the respective point of mass to being rotated by a fixed load until the. If the body has a uniform density as is the case in this experiment the integral can be rewritten as i.
In this experiment, the moment of inertia of flywheel is being studied by variating the point of mass of flywheel. Enter the acceleration value of the hanging mass in table 2. Isaac newton 1642 1727 formalized the relationship between force and motion in his. Principia published in 1687 in which he proposed that the acceleration. For the linear control, write an arduino program to implement closedloop proportional control for linear motion. Physics 2015 lab 7 rotational motion lab 7 rotational motion purpose. The exercises and questions in this lab will help you get a feel for rotational motion and angular momentum. In this experiment, you will measure the moment of inertia for two different systems. Physics 1050 experiment 6 data acquisition in logger pro highlight the region of constant accelerationon the velocity vs.
For this experiment, you will write a complete formal lab report and. The development of conceptual and mathematical skills through the study of linear motion provides essential. 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. Do your experimental results confirm the validity of newtons second law for rotation motion. You will rely on your knowledge of translational dynamics to develop an understanding of rotational. The rotational inertia depends not only on the mass of an object but also on the way its mass is distributed around the axis of rotation. Rotational motion physics, basic introduction, angular. Conservation of angular momentum mercer university. To study properties of the moment of inertia and its effect on. The heart of any experiment is making observations and measurements. Rotational dynamics advanced placement lab experiments. Furthermore, we will discuss torque as it applies to our experiment.
Pdf experiment u4 moment of inertia of flywheels mohdfuad. The kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time. Tanner, in physics for students of science and engineering, 1985. This chapter explains the way in which rotational motion may be described analytically for bodies undergoing pure rotation.
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