At what depth (d) will the gate start to open?
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
An open tank has a vertical partition and on one side contains gasoline with a density of
700 kg/m' and a depth of 4 m is shown in figure 2. A rectangular gate that is 4m high and
2m wide (into the paper) is hinged at one end forms the partition. Water is slowly added to the left-hand side of the tank (which is initially empty). At what depth (d) will the gate start to open?
Transcribed Image Text:Water
Stop
d
Hinge
Partition
Gasoline
4 m
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Step 1: Draw the fluid forces acting the gate and their vertical position from free surface.
VIEWStep 2: Calculate the fluid force exerted by the water fluid.
VIEWStep 3: Calculate the fluid force exerted by the Gasoline fluid.
VIEWStep 4: Calculate the depth d at which gate start to open using net moment equation about hinge point O.
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