Explore BrainMass
Share

# Hydrostatic Pressure and Forces

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

Determine the force due to hydrostatic pressure acting on the hinge of the gate shown. The fluid density is d and the width of the elliptical gate (out of the page) is 6H.

(I have attached the picture provided)

The answer is supposed to be: 21(pi)dg(H^3)/8

https://brainmass.com/engineering/mechanical-engineering/hydrostatic-pressure-forces-113025

#### Solution Summary

This solution contains an annotated force body diagram and shows step-by-step calculations and explanations to determine the force due to the hydrostatic pressure using fluid density and width.

\$2.19

## Archimedes' Principle, Euler's Equations & Hydrostatic Pressure

Recall the standard vector identity: {see attachment}.

? A body is immersed in water at rest, under gravity. Show from Euler's equations that the pressure is: {see attachment}

(Hydrostatic pressure)

? Deduce that the buoyancy force on the body is equal to the weight of water displaced by it.
? A boat floats on a pond. A crew member carefully lowers a wooden oar into the pond. What happens to the water level in the pond? What about the waterline of the boat?
? The crew member now gently drops the anchor from the boat into the pond. What happens to the water levels now?

View Full Posting Details