Moment of inertia of flywheel lab manual pdf

Moment of inertia of a flywheel aim the aim of this experiment is to measure the moment of inertia of a flywheel. The axle is mounted on ball bearings on two fixed supports. Moment of inertia illinois institute of technology. The flywheel consists of a heavy circular disc or wheel with a strong axle mounted on ball bearings on two fixed supports. 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. Measurement of moment of inertia for flywheel of bicycles. Moment of inertia of a flywheel by falling weight method. As with part 2, do several trials with different values of m. 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. Flywheel mounted on axle and supported by bearing, pan, weights, and stop watch. Driving torque moment of inertia of flywheel x angular accelaration so if we assume a constantly increasing torque, the higher the mi. The flywheel of a stationary exercise bicycle is made of a solid iron disk of radius 0.

If the length of the outer cylinder is 10 cm, its inner and outer radii are 9. The radius of gyration is the radius at which we consider the mass to rotate such that the moment of inertia is given by i m k2. After taking data for each run, click the velocity graph this is the. A linear fit over the whole data will appear with a. Moment of inertia quantifies the rotational inertia of a rigid body and can be expressed as. Moment of inertia is the property of the body by virtue of which it resists the change in the state of its angular motion about any axis. The moment of inertia of an object depends on the shape of the object and the. The flywheel 18the 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. 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. The moment of inertia mi of a plane area about an axis normal to the plane is equal to the sum of the moments of inertia about any two mutually perpendicular axes lying in the plane and passing through the given axis.

Flywheels can be used to store energy and used to produce very high electric power pulses for experiments. Moment of inertia apparatus but not every object lends itself well to easy calculation of moment of inertia. Apparatus flywheel string slotted mass on hanger stopwatch vernier caliper metre ruler theory the rotational kinetic energy can be defined by the equation k12. It depends on the bodys mass distribution and the axis chosen, with larger moments. By using formulae calculate the radius of gyration and moment of inertia.

Measurement of moment of inertia of different bodies and proof of parallel axis theorem. You will also determine the torque exerted on the disk by friction at its axis. Moment of inertia of flywheel objective the objective of this. Moment of inertia of a flywheel flywheel is a device for storing large quantities of energy. Measuring the moment of inertia of a flywheel 740 words. The radius of the axie of the flywheel can be measured with a caliper. Fly wheel, weight hanger, slotted weights, stop watch, metre scale. In this video, we are going to learn practical of moment of inertia of flywheel written method in practical file. 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. Then, when you let the car go, the flywheel continues to spin because of rotational inertia, and so turns the wheels. In this experiment, the flywheel rotates freely about a horizontal axis. In the following experiments, you will investigate how a. Determination of mass moment of inertia of fly wheel and axle system.

Set up the apparatus as shown in the diagram and allow the weight to fall a height h. Flywheels resist changes in rotational speed by their moment of inertia. The moment of inertia of body is defined as the measure of objects resistance to the changes of its rotation. Hence, the flywheel sizingdesign calculation for the above example shows that the required mass moment of inertia for this application should be 3. Ive seen a method for experimentally determining the moment of inertia of a flywheel and im not sure whats the reasoning behind it. Measurement of youngs modulus by bending of beam method. Theory momentofinertiai can be understood as the rotational analog of mass. When flywheel is in nonrotating state, initial angular momentum is 0. Note the distance of centre of gravity from the support. To determine the moi of flywheel by falling object. The procedure to perform the experiment is also explained. Again dependent on the designer therefore, mass moment of inertia as per eq. 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.

An equation derived from what we know before conducting the experiment should be able to give us an answer that should be the same as the answer. Moment of inertia of flywheel free download as word doc. In these cases, moment of inertia can be experimentally determined. To determine the moment of inertia of a fly wheel revolving about a fixed axis.

Startup screen for rotational inertia lab 6 use the balance to determine the mass m 1 of the hanger and record this value on the worksheet. A flywheel is used to even out the fluctuations from a rotating shaft output. The wheel can be rotated in a vertical plane about the horizontal axle. The amount of energy stored in a flywheel is proportional to the square of its rotational speed and its mass. Perform the following analysis to determine the moment of inertia of the platter. Moment of inertia of flywheel written method in practical. Flywheel, a few masses, a strong and thin string, stop watch, vernier callipers. Moment inertia of a flywheel lab report slideshare.

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. The flywheel of a motor has a mass of 300kg and a moment of inertia of 580kg x m2. Purpose of this experiment is to understand torque and angular momentum, and to observe the. How much work is done by the motor during the first 4. The moment of inertia of the cross arm my group measured with the conservation of energy equation is. The feasibility of this testing system has been verified by practices.

This is due to the fact that the forces will be applied tangentially, i. Maxwells needle experiment written method in practical file. The origin and substance of the flywheel moment calculation method of inertia moment of crane mechanism are set forth comprehensively and systematically in this paper, that is, the nucleus or the focus of moment of inertia calculation is the problem of calculating convertible flywheel moment. To determine the moment of inertia of a flywheel about its own axis of rotation. The motor develops a constant torque of 2000n and the flywheel starts from rest.

The experiment is conducted by recording the time taken for the respective point of mass to being rotated by a fixed load until the. Moment of inertia of flywheel torque kinetic energy scribd. M, m being the mass of the flywheel, so we can approximate that the small mass does not change the moi of the flywheel. The torsional pendulum and moment of inertia introduction a torsional pendulum, or torsional oscillator, consists of a disklike mass suspended from a thin rod or wire.

Repeat the above steps by changing the weights and their location on the horizontal arm. Torque, also known as the moment of force, is the rotational analog of force. Objective to determine the moment of inertia of a rotating system, alter the system, and accurately predict the new moment of inertia. Development of a flywheel system for the determination of moment. The moment of inertia of a flywheel is given by following formula. A flywheel is a mechanical device specifically designed to efficiently store rotational energy kinetic energy. The way to change a flywheels stored energy without changing its mass is by increasing or decreasing. Solved moment of inertia homework statement the flywheel of a gasoline engine is required to give up 750 j of kinetic energy while its angular velocity decreases from 870 revmin to 410 revmin.

If an object has nonuniform density or uneven weight distribution it can be dif. In this experiment, the moment of inertia of flywheel is being studied by variating the point of mass of flywheel. An energy storage system based on a flywheel a rotating disk can store a maximum of 4. The contribution to the overall moment of inertia of the flywheel is dominated by the outer cylinder, whose mass is 3 kg. It is much better for the calculation of flywheel moment of loading move mass of lifting, traveling.

A heavy flywheel mounted on an axle on suitable bearings. Measuring the moment of inertia of a flywheel using simple. You attach a small weight m1 to the flywheels edge, its important that m1. The flywheel consists of a heavy circular discmassive wheel fitted with a strong axle projecting on either side. 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. When the mass is twisted about the axis of the wire, the wire exerts a torque on the mass, tending to rotate it back to its original position. Hooked mass for measuring the moment of inertia of disk. The aim of this experiment is to measure the moment of inertia of a flywheel. To determine the moment of inertia for the flywheel of the exercise bicycles, its example model and testing method are introduced, and also a testing system according with the international standard and having the ability to test the moment of inertia for the flywheel of the exercise bicycles is designed. This video shows testing the inertia of the dyno to confirm physical measurements, and to accurately determine the gear ratio between the cvt secondary. The theory of the lab is that the moment of inertia calculated from the equations we know will be the same as the moment of inertia measured from the data collected from the rod and its point masses. In this experiment one end of the shaft is gripped in the chuck and heavy flywheel free to rotate.