Lab_Repport_1

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California Polytechnic State University, Pomona *

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Course

1510

Subject

Mechanical Engineering

Date

Feb 20, 2024

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pdf

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3

Uploaded by DeaconSteelKingfisher35

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Lab: Measurements and Uncertainty Experiment 1 Part A: Cylinders Uncertainty of Mass Scale ࠵? ௠௜௡ ࠵? ࠵? ௠௔௫ ࠵? ࠵?࠵? ൌ ࠵? Use this mass uncertainty ࠵?࠵? calculated above for the rest of the lab on all mass measurements to follow. Table 1 1: Measurements and results for cylindrical objects. Object mass m (g) diameter d (cm) length L (cm) volume V (cm 3 ) density ࠵? (g/cm 3 ) Copper Cylinder 55.6 ± 0.05 1.26 ± 0.01 5.00 ± 0.01 6.23 ± 0.11 8.92 ± 0.17 Aluminum Cylinder Brass Cylinder Steel Cylinder Wood Cylinder Thin Wire Cylinder Thick Wire Cylinder 17 I 17.2 0.05 56.55 10.05 12701.001 5.00 10.01 6 3310.004 8 9310.004 17.15 10.05 12771.001 4.991 0.01 6.39 0.004 2 6810.006 53.6 10.05 1269 1.001 4.98 10.01 6.301 0.004 8 5110.005 48 810.05 12781.001 4 9810.01 6.39 10.004 7 6410.005 5 9 10.05 15701.001 5 0410.01 9.7610 0030.6010 012 0.2 10.05 00631.001 6 4910.01 0.020 10.033 10.0010 283 5 10.05 0.2051 001 17.610.1 0.581 10.015 8 7810.025
Lab: Measurements and Uncertainty Calculations: On an attached sheet of paper, show the following calculations. This may be typed or hand written. SHOW WORK. Include uncertainties and units in your calculations. Remember to keep two extra non significant digits in the middle of your calculations and only round severely in the last step. Make sure your final answer is rounded properly. Please draw a box around your final answer. Record your results (properly rounded) in Table 1. Show sample calculations for ࠵? , ࠵?࠵? , ࠵? , ࠵?࠵? for the Copper Cylinder using your data. Show sample calculations for ࠵? , ࠵?࠵? , ࠵? , ࠵?࠵? for the Steel Cylinder using your data. Note : A significant proportion of the points for this lab report come from the above calculations with uncertainty , so make sure that you know how to do these calculations with uncertainty correctly. There are examples of propagating uncertainty through a multistep calculation in the lab manual in Appendix C. Table 1 2: Comparisons between the cylindrical objects. Object Pairs volume comparisons density comparisons % difference ratio within uncertainty (yes/no) % difference ratio within uncertainty (yes/no) copper cylinder & steal cylinder copper cylinder & thick copper wire wooden cylinder & copper wire (You may skip parts B and C) 0.943 99 no 15.6 1.17 No 166.4 10.9 no 1.69 1.02 no 2001 488 no 177.4 06 no
Copper Cylinder V IT 1.270 5.00 6.33 4 TV 210.001 0.004 1 270 5.00 0 56,3 8.93 0.004 Steel Cylinder v IT 1 278514.98 6.39 4 TV 210.001 0.004 1.278 4.98 0 1 4 7.64 YI t 0.005
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