empyrical analysis sample calculations

empyrical analysis sample calculations - in The mean...

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Sample Calculations for part 1: Standard Error of T = N N T T T T T T T T T T N s 2 2 2 2 2 ) 5 ( ) 4 ( ) 3 ( ) 2 ( ) 1 ( - + - - + - + - = Standard Error of T= 0004 . 0 5 5 ) 259 . 259 (. ) 259 . 258 (. ) 259 . 260 (. ) 259 . 258 (. ) 259 . 259 (. 2 2 2 2 2 = - + - + - + - + - Fractional error of T = [(Standard error of T) / T] x 100 =(0.0004 / 0.259) x 100= 0.154% Sample Calculations for part 2: Ud in = N N D D D D D D D D N s in in in in in in in in 2 2 2 2 ) 4 ( ) 3 ( ) 2 ( ) 1 ( - - + - + - = Ud in = 2186 . 0 3 3 ) 267 . 36 1 . 36 ( ) 267 . 36 36 ( ) 267 . 36 7 . 36 ( 2 2 2 = - + - + - mm Ud out uses the same formula as Ud
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Unformatted text preview: in The mean diameter = (d in + d out ) / 2 = (36.267 + 42.333) / 2 = 39.300 mm Ud = 137 . 167 . 219 . 2 1 2 1 2 2 2 2 = + = + out in Ud Ud Standard Uncertainty of T = 000 . 3 ) 398 . 398 (. ) 398 . 398 (. 398 . 398 (. 2 2 2 =-+-+-...
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