Submitted by: Submitted by Wrestlemania
Views: 374
Words: 2024
Pages: 9
Category: Science and Technology
Date Submitted: 02/12/2012 12:11 PM
I. ABSTRACT
The purpose of this lab was to experimentally verify the accuracy of the equation derived from the hydrostatic theory to predict the location of the resultant hydrostatic force applied on the apparatus due to pressure applied by the water. An additional objective was to determine if inaccuracy in predicting the location of the resultant hydrostatic force could be explained by the uncertainty of the moment arm measurements (L1 and L3) as seen in Figure 1. Need a definite conclusion of the equation, data, and whether the uncertainty affects or not.
The data collected shows correlation between the depth of the water and weight applied which can be used to find where the resultant hydrostatic force is located. Although there is a difference between the calculated and experimental values the error can be explained by the uncertainty of the L1 and L3 measurements.
The third objective was to explain the engineering applications of the equation derived from the hydrostatic theory and whether the applications have any advantages over using it experimentally. It was determined that using this equation for large scale engineering applications would have a substantial advantage over the experimental approach due to the scale of the experiment being much smaller than any physical engineering application.
II. INTRODUCTION
All submerged objects and surfaces experience hydrostatic force, which is the point for which a resultant force theoretically acts upon the center of the surface. Hydrostatic theory shows that the center of pressure can be mathematically calculated which is depicted in equation 1.
yR=Ixcyc*A+yc (1)
Where yR is the distance of the center of pressure from the fluid surface, yC is the location of centroid of the submerged area, and IXC is the second moment of area.
The objectives for the experiment were:
* To experimentally verify the accuracy of the equation...