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ME345_Lecture_10

ME345_Lecture_10 - M E 345 Spring 2008 Professor John M...

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 10 02/06/2008 Today, we will : Review the pdf module: Experimental Uncertainty Analysis Do some example problems – experimental uncertainty analysis If time, begin to review the pdf module: Experimental Design Example Given : Quantities A and B are measured, 200 times each: The sample mean and sample standard deviation for A are 520 A . = and 0252 A S. = . The sample mean and sample standard deviation for B are 22 32 B . = and 105 B = . Quantity C is not measured directly, but it is known that 2 3 CA B = + . To do : Report C in standard engineering format. Solution :

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Example Given : The cutoff frequency of a simple first-order filter is 1 RC ω = , where = radian frequency (radians/s) R = resistance, measured to be R = 1200 Ω ± 5% (to 95% confidence) C = capacitance, measured to be C = 0.100 μ F ± 1% (to 95% confidence) To do : Predict to 95% confidence in engineering format. Solution :

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Example Given : In a fluid mechanics experiment, the change in pressure is
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ME345_Lecture_10 - M E 345 Spring 2008 Professor John M...

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