Format for lab reports-lab1

Format for lab reports-lab1 - FLUID STATICS Derivation for...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
FLUID STATICS Derivation for Propagation of uncertainty for FULLY SUBMERGED case: ) ( 3 2 d L L y R - - = …………………………………………………………………… (1) A l d A l d A l d d F R ) 2 ( 2 ) ( 2 )] ( [ - = - + - - = γ ……………………………………. . (2) R F WL L 1 2 = ……………………………………………………………………………. . (3) Substituting Eq.(2) and Eq.(3) in to in Eq.(1) ) ( ) 2 ( 2 3 1 d L A l d WL y R - - - = …………………………………………………………… (4) Using the equation for propagation of uncertainty in L 1 , L 3 and d into y R : 2 2 2 3 2 3 2 1 2 1 2 ) ( ) ( ) ( ) ( ) ( ) ( ) ( dd d y dL L y dL L y dy R R R R + + = ………………………………. . (5) Taking the partial derivative of Eq.(4) and substituting in Eq.(5) gives: 2 2 1 2 3 2 2 1 2 1 ) 2 ( 1 4 ) ( ) 1 ( ) ( ) 2 ( 2 ) ( + - - + - + - = l d A WL dL dL A l d W dy R ……………… (6) 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Fluid Statics Calculation Four types of Errors are calculated from spreadsheet Actual Error Actual absolute error (theoretical – experimental) Actual relative error ([theoretical-experimental]/theoretical) Propagated Error Propagated absolute error ( R dy ) – error due to uncertainties in measurements Propagated relative error ( R dy / (exp) R y ) – relative error due to uncertainties in measurements ANALYSIS: Do the analysis for partially submerged and fully submerged cases separately. OBJECTIVE 1 • Is equation for Y R accurate? • Use your engineering judgment to determine what is mean by accurate ( error <10% ?) • Use ACTUAL ERROR for analysis NOTE: Do Not Average Errors- Give Ranges of Errors for both Partially and Fully Submerged Cases. OBJECTIVE 2 • Does uncertainty account for inaccuracies found in objective 1? • Plot Y R vs d with error bars R dy 2 ± or 2 ± standard deviations • Is theoretical line within error bars?
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/19/2010 for the course CE 321 taught by Professor Mantha,p during the Spring '08 term at Michigan State University.

Page1 / 9

Format for lab reports-lab1 - FLUID STATICS Derivation for...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online