Mathematically, the quotient of the rotary moment and the angular acceleration is the mass moment of inertia. Moment of inertia of flywheel here students will learn how to determine the moment of inertia using the formula along with its full derivation. Moment of inertia of a flywheel by falling weight method. Flywheel, a few masses, a strong and thin string, stop watch, vernier callipers. List of indepth experiments university of aberdeen. 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. A mass is attached by a string to the axle which has a radius of 37. Unfortunately most rotating bodies do not have the mass concentrated at one radius and the moment of inertia is not calculated as easily as this.
The moment of inertia of a flywheel is given by following formula. Then we will calculate the theoretical inertia using the moment of inertia equations for a disk and a ring. The axle is mounted on ball bearings on two fixed supports. Moment of inertia of a flywheel aim the aim of this experiment is to measure the moment of inertia of a flywheel. For moments of inertia of different symmetrical solids see this list. To do this you will first find the total moment of inertia of the system, which represents the combination of the disks moment of inertia, i 1, and the moment of inertia of the ring or bar, i 2. To determine the moi of flywheel by falling object. The experiment is repeated by changing the value of n and m. The resistance with which a rigid body opposes a change to its rotation is indicated by the mass moment of inertia. In this experiment, the moment of inertia of flywheel is being studied by variating the point of mass of flywheel. Measurement of rotational inertia ring and disc with.
Greater the mass greater will be moment of inertia. Hi i m uzair i would like to get questions and answers related to experiment moment of inertia of fly wheel. The amount of energy stored in a flywheel is proportional to the square of its rotational speed and its mass. Task a moment acts on a body which can be rotated about a bearing without friction. For instance, a simple physical interpretation of moment of inertia. The flywheel consists of a weighty round discmassive wheel fixed with a strong axle projecting on either side. Backgroundsetup the moment of inertia, i, of a body is a measure of how hard it is to get it rotating about some axis. Mass moment of inertia of flywheel free download as word doc. Objective to determine the moment of inertia of a rotating system, alter the system, and accurately predict the new moment of inertia. The moment of inertia apparatus materials 1 table clamp 1 weight hanger mass 50g 1 long metal rod 1 length of. The mass is adjusted until its weight is just sufficient to overcome frictional resistance and rotate the. The moment of inertia of body is defined as the measure of objects resistance to the changes of its rotation. Perform the following analysis to determine the moment of inertia of the platter. Moment of inertia of flywheel free download as word doc.
A heavy flywheel mounted on an axle on suitable bearings. Theory considering a falling mass, net forcemgf accelerationa hence mamgma fmga provided that a is much greater than g. Find the moment of inertia of the table with the iron ring. After taking data for each run, click the velocity graph this is the. Measurement of moment of inertia of different bodies and proof of parallel axis theorem. International journal of advances in science engineering and technology, issn. The experiment is conducted by recording the time taken for the respective point of mass to being rotated by a fixed load until the. Here, the behaviour of the body depends on its mass and the distribution of this mass relative to the axis of rotation. The atoms comprising the wheel can be regarded as being in concentric circular layers. Mass moment of inertia of flywheel torque rotation around a. International journal of advances in science engineering. It depends on the bodys mass distribution and the axis chosen, with larger moments. This second moment is commonly called the moment of inertia and has a symbol i. Find the moment of inertia of the table with the iron disk.
To determine the moment of inertia of a flywheel about its own axis of rotation. A flywheel with axle mounted some height above floor level, slotted mass on hanger, a cord, a 2m rule and a stop watch. A method for quick estimation of engine moment of inertia based on an experimental analysis of transient working process. The moment of inertia then is calculated by substituting the data obtained from the experiment and the experimental value is calculate and compared to the. Theoretically, the rotational inertia, i, of a point mass is given by i mr2, where m is the mass, r. The flywheel18the moment of inertia, i, is determined by imagining that the body is divided into a number of infinitesimal elements of mass mi each at a distance ri from the axis of rotation. Please also fill in the missing equations 5, 7 and 9. First a steel and aluminium flywheel was wounded by a cord. The contribution to the overall moment of inertia of the flywheel is dominated by the outer cylinder, whose mass is 3 kg. Flywheels resist changes in rotational speed by their moment of inertia. Pdf a method for quick estimation of engine moment of. A hook was attached to a cord and mass was putted on.
Moment of inertia is also depending upon the mass of body. The way to change a flywheels stored energy without changing its mass is by increasing or decreasing. What are some of the viva questions on the moment of inertia of a flywheel physics. One end of a cord is loosely looped around the peg and its other end carries the weighthanger. The flywheel, weight box, thread, stopwatch, metre scale and vernier calipers. You will need a heavy flywheel mounted on an axle on suitable bearings a ruler vernier calipers access to a balance set of slotted masses thin cord stopwatch what to do set up the apparatus as shown in the diagram and allow the weight to fall a height h onto the floor. Experiment 10 moment of inertia advanced reading moment of inertia section of text equipment becks inertia thing rotational apparatus vernier caliper masses meter stick stopwatch plastic mass hanger objective the objective of this experiment is to dynamically measure the moment of inertia of a. The result of this experiment provides high percentage accuracy in the measurement of rotational inertia. Find the moment of inertia of the empty rotating table. You will also determine the torque exerted on the disk by friction at its axis. The aim of this experiment is to measure the moment of inertia of a flywheel. Physics 2107 moments of inertia experiment 1 read the following backgroundsetup and ensure you are familiar with the theory required for the experiment. Set up the apparatus as shown in the diagram and allow the weight to fall a height h.
Moment of inertia of flywheel formula and experiment. Development of a flywheel system for the determination of moment. In this experiment we will measure the inertia of a disk and a ring by dividing an applied torque by the resulting acceleration. Moment of inertia of flywheel objective the objective of this experiment is to determine the relationship between the angular acceleration of flywheel and the torque producing the acceleration. In the second part, you will determine the torsion constant of a rod from measurements of t, using a solid disk as a torsion mass. In this experiment, the flywheel rotates freely about a horizontal axis.
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. There is an 11% difference between our experimental value for i and the theoretical value. With the mass m of the flywheel by itself measured as 0. Repeat the experiment by attaching the small disk and the. Development of a flywheel system for the determination of moment of inertia olugboji o. In this experiment you will use a disk of nearly uniform mass and apply a torque by adding weight to a string attached to a step pulley at the center of the disk.
Experimental apparatus for the moment of inertia experiment. 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. An experiment is performed to find the moment of inertia of a flywheel as follows. Experiment 8 moment of inertia and angular acceleration related topics angular velocity, rotary motion, moment, moment of inertia of a disc, moment of inertia of a bar, moment of inertia of a mass point.
The moment of inertia, otherwise known as the mass moment of inertia, angular mass or rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis. Development of a flywheel system for the determination of. Using your results, you will determine the moment of inertia of the disk. 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. So, this is the setup for this experiment to find out the moment of inertia of a flywheel. The greater the moment of inertia, the greater the kinetic energy of a rigid body rotating with a given angular speed. The wheel can be rotated in a vertical plane about the horizontal axle. In this experiment a flywheel at rest with a mass m hanging in a gravitational field of constant g on the end of a cord and also the mass is. A flywheel is a mechanical device specifically designed to efficiently store rotational energy kinetic energy. Experiment in this first part of this experiment, you will compute the moments of inertia of a disk and an annulus from measurements of the masses and dimensions. Measurement of youngs modulus by bending of beam method. To determine moment intertie of flywheel apparatus and diagram.
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. The flywheel consists of a heavy circular disc or wheel with a strong axle mounted on ball bearings on two fixed supports. Download as docx, pdf, txt or read online from scribd. From the definition of moment of inertia i, 11 imiri i. Moment of inertia of flywheel torque kinetic energy scribd. Experiment 8 moment of inertia and angular acceleration. Measurement of rotational inertia ring and disc with high percentage accuracy. Theory momentofinertiai can be understood as the rotational analog of mass. Moment inertia of a flywheel lab report slideshare. If the length of the outer cylinder is 10 cm, its inner and outer radii are 9. Moment of inertia of flywheel objective the objective of this experiment is to determine the. The procedure to perform the experiment is also explained.
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