A rectangular gate that is 2 m wide is located in the vertical wall of a tank containing water as shown in the figure below. It is desired to have the gate open automatically when the depth of water above the top of the gate reaches 17 m. Water a) Draw the pressure diagram. b) What is the magnitude of the force on the gate? c) At what distance, d, should the frictionless horizontal shaft be located to avoid opening of the gate? (It basically asks 17m you the location of the hydrostatic force on the gate relative from the top of the gate) 4 m Shaft

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Please help answer the question shown in the photo. Please explain clearly why the formulas you picked were used, and what the purpose of each number and variable in your calculation represents.

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A rectangular gate that is 2 m wide is located in the vertical wall of
a tank containing water as shown in the figure below. It is desired
to have the gate open automatically when the depth of water above
the top of the gate reaches 17 m.
Water
a) Draw the pressure diagram.
b) What is the magnitude of the force on the gate?
c) At what distance, d, should the frictionless horizontal shaft
be located to avoid opening of the gate? (It basically asks
17m
you the location of the hydrostatic force on the gate relative
from the top of the gate)
4 m
Shaft
Transcribed Image Text:A rectangular gate that is 2 m wide is located in the vertical wall of a tank containing water as shown in the figure below. It is desired to have the gate open automatically when the depth of water above the top of the gate reaches 17 m. Water a) Draw the pressure diagram. b) What is the magnitude of the force on the gate? c) At what distance, d, should the frictionless horizontal shaft be located to avoid opening of the gate? (It basically asks 17m you the location of the hydrostatic force on the gate relative from the top of the gate) 4 m Shaft
Expert Solution
Step 1

The depth of a submerged body determines the hydrostatic force acting on it. Its the mass centre of the body through which gravity acts.
The force produced by a liquid's pressure loading acting on submerged surfaces is known as hydrostatic forces. The resultant hydrostatic pressure force acts at the center of pressure on the immersed surface.

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