{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Format for lab reports-lab1

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

Info icon This 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 γ 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 - - - = γ …………………………………………………………… (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 γ γ ……………… (6) 1
Image of page 1

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

View Full Document Right 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? • Compare actual error with propagated error. If actual error is LESS than Propagated Error means uncertainty explains inaccuracies. If actual error is GREATER than Propagated Error means uncertainty does NOT explain inaccuracies. Look at plot also.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern