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What is y_c when finding y_R?

  • Thread starter aaronfue
  • Start date
  • #1

Homework Statement

During the calculation of yR in fluid mechanics problem, hydrostatic force on a plane surface

Homework Equations

yR = yc+[itex]\frac{I_xc}{y_c×A}[/itex]

The Attempt at a Solution

I can see how it is calculated but I've read through the chapter and I don't see how it is described. The textbook is Fundamentals of Fluid Mechanics (6th Ed.) by Munson.


Answers and Replies

  • #2
Staff Emeritus
Science Advisor
Homework Helper
It looks like yc is the location of the centroid of the gate, while yR is the location of the resultant of the pressure acting on the gate, or the center of pressure.

This article (pp. 6-8) gives the derivation and an example calculation:
http://www.freestudy.co.uk/fluid mechanics h1/outcome11.pdf