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# 672 Review Sheet for M E 345 with Professor Cimbala at PSU

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COURSE
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KARMA
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This 5 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Pennsylvania State University taught by a professor in Fall. Since its upload, it has received 27 views.

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Date Created: 02/06/15
ME345 Fall 2009 Professor John M Cimbala Today we will Do a review example problem outliers data pairs Review the pdf module Experimental Uncertainty Analysis 3 Do some example problems experimental uncertainty analysis Example Outliers data pair measurements Given Omar takes 12 data pair measurements temperature as a function of pressure He performs a regression analysis and plots the data and the leastsquares fit One of the data pairs looks a little suspect so he performs the standard statistical technique to determine if this data pair is an official outlier o The standard error from the regression analysis is 002440C Sly o The residual of the suspect data pair is 0046800 0 A plot f standardized residual vs pressure reveals that the standardized residual of the suspect at pair is Wt with its neighbors To do Ist Solution ata pair an official outlier or not VJ AM a f 3 AM Mmfr lS lx 3 001 L Tu o um Cr n am emu B ecSxgtl I Inca144 H 7 quotcylnln f N0 4 k U A3 in V n39b quotqu MW 1quot lm39s lsU wt MWquot 00 W 0 1 4 Example Experimental uncertainty analysis Given The cutoff frequency of 39r torder filter is a i where a radian frequency radianss R resistance measured to be to 95 confidence C capacitance measured to be C 0100 pf i to 95 confidence To do Predict a to 95 confidence in standa 2 engineering format and with the proper number of signi cant digits Solution L k L 333375l w ooh RC tumuyt um 1 5 J 39 05 669 Unauthmlm 3 R C quot Ir Th thr Kra at X 6013320 t Mg 1 f Example Experimental uncertainty analysis Example Given Quantities A and B are measured 200 times each The sample mean and sample standard deviation forA are E 520 and S A 0252 The sample mean and sample standard deviation for B are E 2232 and SE 2105 Quantity C is not measured directly but it is known that C A2 3B To do Report C in standard engineering format Solution Ru AAEWA Q 1 7amp t We AC Ac UAWh wtquot wl c 8J9 A R91 5W mm c M 3339 f W V L e 5 1 7 a 3 We 1 2 S L E9 871 X 0 KA A A Q 1 51 r I 713 53 Vt EC a 9 Glimb u 2 10 C quot54ka mum w w VkLm C3 3 10 395 71074 Example Experimental uncertainty analysis Given Jan uses a thermocouple to measure temperature She performs a regression analysis on temperature T units 0C as a function of thermocouple voltage V units mV The bestfit straight line is T b aV where b 08152 C and a 231820CmV She takes her voltage data with a digital data acquisition system that has an uncertainty of 0124 mV To do When the voltage reading is V 5520 mV calculate the temperature with its appropriate uncertamtles Solution w T Lquot V N F WE Imam Purim 4 d LI l 0 V E10 eV T Mink ux1 in Am m1 mimic NT Nva onq mV3k1393l11 A Ev 18752 W V I hut Ml hmfwu quot hm mu huh39q Example Experimental uncertainty analysis Given In a uid mechanics experiment the change in pressure is AP 106 pV2 where AP change in pressure Nmz which is the same units as pascals Pa p density measured to be p 660 i 150 kgm3 to 95 confidence V velocity measured to be V 152 i 0028 ms to 95 confidence To do Write AP at these values of p and Vin standard engineering format Solution MN m our our on m ow Fm mote M g Pm M 51km Rollwm ow to yum M PM AP My 2 19 1

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