MOMENT OF INERTIA Chua‚ Richard Janssen J.‚ PHY11L/A3 chardsenchua77@yahoo.com Abstract The moment of inertia‚ or also known as the rotational inertia‚ is the rotational analog of a rigid body to a linear or an angular motion. It is one of the fundamentals of the dynamics of rotational motion. The moment of inertia must always be in a specified chosen axis of rotation. The point of motion is basically defined as the relationship between mass and the perpendicular distance to the rotational
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Moment of Inertia Formula The Moment of inertia is the property by the virtue of which the body resists angular acceleration. In simple words we can say it is the measure of the amount of moment given to the body to overcome its own inertia. It’s all about the body offering resistance to speed up or slow down its own motion. Moment of inertia is given by the formula Where R = Distance between the axis and rotation in m M = Mass of the object in Kg. Hence the Moment of Inertia is given in Kgm2
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Moment of Inertia Academic Resource Center What is a Moment of Inertia? • It is a measure of an object’s resistance to changes to its rotation. • Also defined as the capacity of a cross-section to resist bending. • It must be specified with respect to a chosen axis of rotation. • It is usually quantified in m4 or kgm2 Quick Note about Centroids…. • The centroid‚ or center of gravity‚ of any object is the point within that object from which the force of gravity appears to act. •
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Sadie D. Hood Lab 8: Moment of Inertia Partner: Florence Doval Due 16 November 2011 Aims: To use a centripetal force apparatus to calculate the moment of inertia of rotating weights‚ using theories derived from ideas of energy transfer (Im = MR2 (g/2h)(t2-t02)) and point mass appoximation (m1r12 + m2r22). Set Up Procedure First we measured the weights of two masses and wingnuts that secure them. Then we placed one of the masses on the very end of a horizontal rod on the centripetal force apparatus
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Moment of Inertia 1. Abstract The goal of this study is to understand the transfer of potential energy to kinetic energy of rotation and kinetic energy of translation. The moment of inertia of the cross arm my group measured with the conservation of energy equation is: 0.01044 kg/m2 (with the mass of 15g)‚ 0.01055 kg/m2 (with the mass of 30g)‚ which is kind of similar to the standard magnitude of the moment of inertia of the cross arm: 0.0095 kg/m2 (Gotten by measuring the radius and the mass
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Title: Mass Moment of Inertia Objective: To determine mass moment of inertia of a part using experimental method. Theory: If a part has been designed and built‚ its mass moment of inertia can be determined approximately by a simple experiment. This requires that the part be swung about any axis (other than one that passes through its CG) parallel to that about which the moment is sought and its period of pendular oscillation measured. Figure 1 shows a part of connecting rod suspended on a knife-edge
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Moment of inertia of a flywheel Jonathan Prevett 13/11/14 Uday Ravish Aim: To determine the moment of inertia of a flywheel. Apparatus: Fly wheel and axel‚ weight hanger‚ slotted weights‚ stop watch‚ metre ruler. Definitions: Moment of Inertia- a quantity expressing a body’s tendency to resist angular acceleration Radius of Gyration- the distribution of the components of an object around an axis. Method: The weights were suspended from the axel by the cord‚ then we used a meter ruler to make
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Thermodynamics Inertia Laboratory Report Summary The objective of this report is to find the Moment of Inertia of a disc by means of investigating the use of rotational motion. We then used the results of the experiments to plot a graph showing the relationship between the mass of the weight with the time taken by load to pass the distance of length of the string. Three different size discs were used in these experiments to determine the influence the size of a disc will have on its Moment of inertia
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The meaning of inertia Inertia is the property of an object which resists a change in its motion. If it is at rest it tends to remain at rest ‚ if it is moving it tends to continue moving. Or Inertia is the reluctance of an object to move once it is at rest or the reluctance of an object to stop once it is in uniform velocity. Explanation of inertia by Newton’s First Law of Motion Newton’s First Law of Motion states that “an object will remain at rest or continue with a constant
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[pic] The flywheel of an engine has moment of inertia 2.5 kg•m2 about its rotation axis. What constant torque is required to bring it up to an angular speed of 400 rev/min in 8s‚ starting from at rest? [pic] A solid‚ uniform cylinder with mass 8.25kg and diameter 15cm is spinning at 200 rpm on a thin‚ frictionless axle that stop the cylinder axis. You design a simple friction brake to stop the cylinder by pressing the brake against the outer rim with a normal force. The coefficient of kinetic
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