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CE 321 Lab 1 – Fluid Statics

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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

- 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