Error Analysis

2588 WordsFeb 24, 201311 Pages
Determination of Unknown Block Material and Uncertainty Analysis Xuan Wang TA: Saurabh Chawdhary ME4031W Lab Section 014 4:40PM Wednesday 2/10/2013 Abstract People discovered many methods to determine the properties of unknown materials (harness, density, or elastic modulus etc.). In this lab, the task is to find the density of an unknown block. If the dimensions and mass of unknown block can be obtained, the density can be calculated by block mass over block volume. After comparing the result density value to a reference chart, the specific material category can be determined. Dimensions can be measured by using a caliper and a micrometer and mass can be determined by putting the block onto an electronic balance. All equipments are calibrated using gage blocks and gage masses with given uncertainties. This allows us to convert the bias error of unknown block to the known uncertainty. After calculating the calibrated data, the density is found out to be 0.1003±0.000234 [lb/in³]. From online source Matweb.com, the material is aluminum alloy. In order to get more precise result in future experiments, more data should be taken and more precise measuring instruments should be employed. Table of Content 1. Introduction………………………………………………………………………………………..……..4 2. Experimental Methods……………………………………………………………………………...…....4 2.1 Governing Equations……………………………………………………………………..……4 2.2 Apparatus Sketch & Explanation………………………………………………………………5 2.3 Table of Equipment and Uncertainties…………………………………………………………6 2.4 Detailed Experimental Procedure…………………………………………………………...…7 3. Results and Discussion……………………………………………………………………….…………. 8 3.1 Calibration of Measurement Equipment…………………………………….…………………7 3.2 Density Calculation…………………………………………………………………………...11 3.3Estimation of Material Type Based on Density………………………….……………………14 4.

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