Experiment 1
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Mt San Antonio College *
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MAE300
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Aerospace Engineering
Date
Dec 6, 2023
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9
Uploaded by JusticeHawk12920
1 MAE 300 Engineering Instrumentation and Measurement Experiment #1
Use of Descriptive Statistics in Physical Measurements
Lab 1 Submitted By:
Samantha Villines
Performing Experiment 22
nd
February Submitting Experiment 8
th
of March
2 Abstract: (A) The experiment involves measuring 30 washers accurately with calipers and recording the results in Excel. The experiment's goal is to develop good caliper use skills so that you can measure the washers precisely and document your findings in a clear and orderly manner. (B) The task was completed by manually measuring the diameter and thickness of each of the 30 washers using calipers. The 30 washers, calipers, and an Excel spreadsheet were all used in the experiment. The data was gathered by entering each washer's measurements into an Excel spreadsheet. We organized and analyzed the data more effectively by entering it into a table in Excel. (C)The measurements of the 30 washers were the main findings. The readings varied from.996 at the highest point to.9755 at the lowest. (D) Overall, the experiment was successful in teaching us how to use calipers to measure the washers accurately and enter the information in Excel. Using Excel made it simple to organize and analyze the data, which made it easier to make judgments about the measurements. Theory: Engineering, manufacturing, and scientific research frequently use calipers as measuring instruments. They are employed to gauge an object's diameter or the separation between two opposing sides. There are several different types of calipers, including Vernier, Digital, and Dial calipers, each with specific benefits and drawbacks. The resolution of calipers, which is the smallest measurement increment possible, is often used to describe their accuracy. The caliper's scale, which can be either metric or imperial, determines the resolution. Here are some equations that can be useful during this experiment.
3 Experimental procedure The approach used to accomplish an experiment that involved using calipers to measure the diameter of 30 washers will be described in full. The experiment had numerous unique components and was carried out over the course of one afternoon. Setting up the apparatus was the first step of the experiment. This involved removing the calipers from their case and making sure they were calibrated correctly. Together with setting up the workspace, we also had to arrange the 30 washers into a nice row on a clean, flat surface. The washers were little and delicate, so we took care when handling them. We set everything up before starting the measurement process. We laid each washer on the level table and used the calipers to measure its breadth before measuring its diameter. To achieve precise measurements, we made sure the calipers' jaws were perpendicular to the washer's surface and that we applied even pressure. Also, we were careful to record the readings in an Excel file. All 30 washers were measured, and the results were collected into a table. The measurements for each washer were listed in this table together with the average diameter and the range of diameters for the entire group.
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4 Part I: take 32 measurements in inches of Outside diameter of Washers Part II: highlight sample of 5 measurement in inches of the population Instrument Used: Calipers Excel Raw Data 1 0.9925 2 0.9815 3 0.9875 4 0.982 5 0.9775 6 0.996 7 0.994 8 0.9815 9 0.9925 10 0.9775 11 0.9945 12 0.9885 13 0.9815 14 0.9895 15 0.989 16 0.989 17 0.9815 18 0.981 19 0.989 20 0.997 21 0.9955 22 0.9935 23 0.9885 24 0.981 25 0.9965 26 0.9965 27 0.995 28 0.9875 29 0.9975 30 0.9815 31 0.9955 32 0.994
5 Part I: Calculations for all 30 washers
6 Most probable error of a single measurement:
Most probable error of the mean:
Histogram for Part I
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7 Calculations for sample of 5 washers Most probable error of a single measurement:
8 Most probable error of the mean:
Histogram for Part II Summary According to the raw data section, the experiment's data was gathered in two stages. The information in Part I consists of the various measures from all 32 washers in the population. Five people from the entire population were chosen as the sample population for Part II. Many data points that were measured in inches using calipers on 32 washers were obtained, and several statistical measures were developed from the results. The measurements' median value, which was 0.989 inches, and mean value, which was 0.988921875 inches The majority of the measurements fell within a small range around the mean value, according to the statistical measures developed from the measurements, which overall indicate that using calipers produced consistent and accurate findings. These measurements can be used to assess the measuring instrument's precision and accuracy as well as give insight into how the measurements are distributed.
9 References: https://www.cnclathing.com/guide/what-is-a-caliper-measuring-tool-different-types-of-
calipers-and-uses-cnclathing https://statscharts.com/bar/histogram?status=edit https://www.linquip.com/blog/different-type-of-industrial-measuring-tools/
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