# CU-Boulder MCEN 3037 - 3 (12 pages)

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Mcen 3037 - Data Analysis
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Once the errors are determined we can determine the by combining them through uI 2 2 2 2 u u u u j L K T j If more than one instrument is used uI 1 v uI 2 uT uI21 uI22 v uT Let s take a first shot at instrument uncertainty A pressure transducer is connected to a digital panel meter The panel meter converts the pressure transducer s output in volts back to pressure in psi The manufacturer provides the following information about the panel meter Resolution 0 1 psi Linearity Within 0 1 of reading Drift Less than 0 1psi 6 month within 32 900F For the transducer the data sheet states an accuracy of within 0 5 of it s reading Estimate the combined instrument uncertainty in the measured pressure at a nominal value of 100 psi at room temperature Assume the transducer s response is linear with an output of 1V psi and it is less than 6 months old Resolution 0 1 psi Linearity Within 0 1 of reading Drift Less than 0 1psi 6 month within 32 900F For the transducer the data sheet states an accuracy of within 0 5 of it s reading Estimate the combined instrument uncertainty in the measured pressure at a nominal value of 100 psi at room temperature Assume the transducer s response is linear with an output of 1V psi and it is less than 6 months old What is the uncertainty in the transducer uT 0 005 100 psi 0 50 psi Resolution 0 1 psi Linearity Within 0 1 of reading Drift Less than 0 1psi 6 month within 32 900F Estimate the combined instrument uncertainty in the measured pressure at a nominal value of 100 psi at room temperature Assume the transducer s response is linear with an output of 1V psi and it is less than 6 months old uR 0 1 0 5 0 05 psi Display uL 0 001 100 psi 0 10 psi uD 0 1 psi 6months 6months 0 10 psi uP uR2 uL2 uD2 0 15 psi Now we can simply combine these as uT uP2 uT2 0 52 0 152 0 52 psi Need to look closely at data sheets Outcome of an experiment given by value X If X changes randomly from experiment to experiment it is called a random variable In practice nearly all

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