Define the pressure of a fluid at rest increases with depth (as a result of added weight).
Define the pressure of a fluid at rest increases with depth (as a result of added weight).
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Define the pressure of a fluid at rest increases with depth (as a result of added weight).
Expert Solution
Step 1
Given Data:
- The density of the liquid is ρ.
- The depth at which the pressure is to be defined is h.
- The Pressure at the depth h is P.
- The atmospheric pressure is Patm.
To find the pressure at the depth of the h from the surface of the liquid draw an elementary fluid element of area of cross section dA as shown,
Step 2
The Free body diagram (FBD) of the body can be drawn as,
The elementary fluid element is acted upon by the three forces,
- W is the weight of the fluid element acting downwards
- The force due to atmospheric pressure Patm which acting on the cross section
- The force due to pressure P at the bottom area
The weight of the elementary fluid element can be calculated as,
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