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CE 321 Lab 1 – Fluid Statics. Hydrostatic Theory . Horizontal Plane . Resultant Force = . Centroid= h/2 . Vertical Plane . ……………………………... (1) (Theoretical). …………………… (2). Objectives

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CE 321

Lab 1 – Fluid Statics


Hydrostatic Theory

Horizontal Plane

Resultant Force =


Centroid= h/2

Vertical Plane

……………………………... (1) (Theoretical)

…………………… (2)


  • Objectives

  • Experimentally verify the accuracy of the equation derived from

    Hydrostatic theory to predict the location of center of pressure

  • Determine if uncertainty in measurements appear to explain the

    inaccuracy in predicting the location of center of pressure using

    the equation derived from Hydrostatic theory

  • Comment on the suitability of the equation derived from Hydrostatic

    theory for engineering use


L1

L4

CW

Pivot

L3

L2

W

yR

l

d

FR

w

Where,

= force produced by the mass placed on the tray,

= resultant force

= length of the arm where resultant force acts

= length of the arm where W acts

= location on the submerged plane where resultant force is acting

(Experimental)


PPre

Pressure Prism for Partially and Fully submerged case

Partially Submerged

Fully Submerged


Post lab session analysis
Post Lab Session Analysis

  • Enter data into spreadsheet & study the plot

Theo

Uncertainty explains inaccuracy

Uncertainty does not explain inaccuracy


  • In order to answer each objective

    • NOTE: Consider the two cases (partially and fully submerged) separately for each objective

  • Objective 1

    • Consider the inaccuracy in both the 2 cases separately

    • Look at Error ( Relative error)

  • Objective 2

    • Look at the plot and comment

    • Compare Error and Propagated uncertainty. Does uncertainty account for inaccuracy?

  • Objective 3

    • Comment on suitability of Eq.1. for engineering use

    • Consider inaccuracy, uncertainty and state the logic behind your conclusion


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