Moment Of Inertia - Lab Report Example

PROJECT ON MOMENT OF INERTIA INTRODUCTION This experimental project is aimed at applying analytical and experimental techniques to develop an understanding of moments 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.EQUIPMENT The exercise has been based on three experimental rigs:An inclined plateKnife-edge pendulum supportsA geared flywheelThe following instruments are used:Digital weighing scales.

A steel ruleA stop watchA set of vernier callipersRESULTSWHEEL AND AXLE: PENDULUM METHOD Using the pendulum method of measuring the moment of inertia of a wheel and axle assembly, the equation is developed for moment of Inertia to beI = Mk2 INCLINED PLANE METHOD Using the inclined plane method of measuring the moment of inertia for the assembly, the equation is developed to be as follows:I = Mr2((2gl/v2)-1) GEOMETRICAL CALCULATION METHOD Using this method, the moment of inertia is equated as follows:I = 0.

5 MR2FLYWHEEL FALLING WEIGHT METHODThe moment of Inertia according to this method is found out to be I = (2/w2)(-mgDy-(1/2)mv2)CONNECTING ROD COMPOUND PENDULUM METHOD The Moment of Inertia according to the compound pendulum method for a connecting rod is found out to be as follows:I = m k2 = m (0.2483 h2 TB2 - h2)CONCLUSION Thus the moments of inertia for all the given components are found out by experimentation and by measuring all the required variables, by using the apparatus and procedures specified in the questions.

The equations for the moments of inertia are derived from the observations and presented here.WORKS CITEDBolton, William.Mechanical Science. Malden:Blackwell Publishing,2006