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by: Arvilla Bernhard
Arvilla Bernhard
GPA 3.97


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Class Notes
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This 3 page Class Notes was uploaded by Arvilla Bernhard on Friday September 4, 2015. The Class Notes belongs to PHYSICS 004BL at University of California - Los Angeles taught by Staff in Fall. Since its upload, it has received 100 views. For similar materials see /class/177940/physics-004bl-university-of-california-los-angeles in Physics 2 at University of California - Los Angeles.


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Date Created: 09/04/15
Experiment 0 Sensor Calibration and Linear Regression Matthew Lin June 25 2014 Lab 4 Wednesday 530pm TA Thomas Rehagen Lab Partners Arun Widj aj a Haonan Ling 2 Uncertainty for measured acceleration a 6a 6v2 Z t sty saiAv 3a1 3a A1 At 31 At 3 At2 1 A 6a k 6102 StY mum mm 1 A 2 m 6102 anzmvbest mm W gimp Q lvbml lt61 gt2 at 2 tbest lvbest ltbest l Uncertainty for distance the object travels S SS Am 3 5 At 3 5 Av 31 at SS Atav2 Avat2lAvbestAtbest a at as Mt Av 7 2 WWW Mm 6v 2 at 2 6m lvbest 39 tbestl lvb ltb est est Capstone can display up to 15 digits to the right of the decimal point and an additional one to the left of the decimal point so the maximum number of digits it can display is 16 digits For a sensor with precision of exactly 4 digits that takes in data for 10 digits only the rst 4 digits would be included in the actual measurement precision The remaining digits in 5 through 10 would be uctuating values that are inaccurate and should not be included in the calculation It might not be a good idea to turn the display precision down too far because it would lead to inaccurate measurements because we round up to the number of signi cant gures For example ifwe measure something to be 45132 Volts but the precision of our sensor is only one signi cant gure we will round up to 5 Volts which is quite a bit off from the actual value 4 Line ofBest Fit VF 0160 t 0001 g F 0007i 0002 V E Linear Graph of Force vs Voltage V 0160 0001VNF 0007 0002V Voltage V Force N Figure 1 describes the linear relationship between the force exerted and the sensor voltage This shows the results of the measured calculations of our sensor calibration experiment The graph was created using Microsoft Excel 2010 and the best t line equation that I provided was determined using the regression tool on Microsoft Excel 2010 The best t line differed slightly from our actual calculations because the best t line took into account some of the uncertainties of our measurements Table of Data Masskg ForceN VoltageV 0 0 0012 005 049 0074 01 098 0152 015 147 0229 02 196 0306 025 245 0384 03 294 0461 5 Using the linear regression tools on Microsoft Excel 2010 I determined the results of my 0 calibration to be VF 0l60 i 0001 g F 00071 0002 V The equation is a function of force that determines the voltage of the sensor The equation is in a typical linear form V aF b with a being the slope ofthe line and b being the yintercept of the line Our yintercept 0007 i 0002 V tells us that taring is fairly effective in getting a pretty accurate measurement BUT it is never perfect in getting exactly zero Therefore we have to take into account this initial offset when analyzing our experimental results Using these calculations from the previous question


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