Difference between revisions of "Catatan Jumat, 3 Maret 2023"

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(Catatan Kuliah)
(ChatGPT Hidrostatis)
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== ChatGPT Hidrostatis ==
 
== ChatGPT Hidrostatis ==
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resultant force for hydrostatic force in water gate
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Answer :
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The resultant force for hydrostatic force in a water gate is the net force acting on the gate due to the pressure of the water on it. This force is typically calculated using the principles of hydrostatics, which describe the behavior of fluids at rest.
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In general, the hydrostatic force acting on a submerged surface is given by the equation:
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F = γAdepth
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 +
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where F is the hydrostatic force, γ is the specific weight of the fluid (the weight per unit volume), A is the area of the submerged surface, and depth is the depth of the fluid above the surface.
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 +
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For a water gate, the hydrostatic force acting on the gate will depend on the depth of the water above the gate, the area of the gate that is submerged, and the specific weight of water. To calculate the resultant force, we would need to determine the total hydrostatic force acting on the gate, taking into account any variations in depth or pressure across the surface of the gate.
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The resultant force is simply the vector sum of all the individual hydrostatic forces acting on the gate. It will have both magnitude and direction, and will be equal and opposite to the force exerted by the gate on the water.
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 +
 +
In practice, the design and operation of water gates typically take into account the hydrostatic forces acting on them to ensure that they can withstand the forces and operate safely and efficiently.

Revision as of 17:42, 3 March 2023

Catatan Kuliah

Gaya Hidrostatis

Tekanan Hidrostatis merupakan salah satu bahasan dalam materi pembelajaran statika fluida. Lalu, Gaya Hidrostatis merupakan penurunan dari rumus tekanan hidrostatis, di mana :

F=P.A

F=ρ.g.h.A

Dikarenakan densitas dan percepatan gravitasi bersifat konstan, maka :

F= γ.h.A

Untuk menggerakkan pintu air, diperlukannya momen. Momen adalah kemampuan benda atau komponen untuk bergerak terhadap poros atau titik pusat benda tersebut. Besar momen merupakan perkalian antara gaya dan jarak gaya ke titik pusat.

M=F.d

Resultan gaya pada momen tersebut memilki titik yang terletak pada titik pusat tekanan. Lalu, untuk mencari koordinat atau posisi titik pusat tekanan (Center of Pressure) diperlukan untuk mengetahui nilai inersia dari material yang digunakan, missal :

Pada persegi atau persegi Panjang

I=1/12 bh^3

Pada lingkaran

I=1/4 πr^4


Gaya Apung

Gaya apung merupukana perwujudan dari hukum Archimedes yang mengatakan bahwa setiap benda yang sebagian atau seluruhnya terendam dalam zat cair, atau sebagian zat cair, mempunyai gaya dorong ke atas pada benda tersebut, atau yang sering disebut gaya apung. Di dalam hukum Archimedes atau pada gaya apung, berlaku kesetimbangan gaya pada setiap koordinat, tetapi lebih spesifik pada sumbu y. Berdasarkan hal tersebut, didapatkan persamaan gaya apung sebagai berikut :

F = ρ.g.V

ChatGPT Hidrostatis

resultant force for hydrostatic force in water gate

Answer :

The resultant force for hydrostatic force in a water gate is the net force acting on the gate due to the pressure of the water on it. This force is typically calculated using the principles of hydrostatics, which describe the behavior of fluids at rest.


In general, the hydrostatic force acting on a submerged surface is given by the equation:


F = γAdepth


where F is the hydrostatic force, γ is the specific weight of the fluid (the weight per unit volume), A is the area of the submerged surface, and depth is the depth of the fluid above the surface.


For a water gate, the hydrostatic force acting on the gate will depend on the depth of the water above the gate, the area of the gate that is submerged, and the specific weight of water. To calculate the resultant force, we would need to determine the total hydrostatic force acting on the gate, taking into account any variations in depth or pressure across the surface of the gate.


The resultant force is simply the vector sum of all the individual hydrostatic forces acting on the gate. It will have both magnitude and direction, and will be equal and opposite to the force exerted by the gate on the water.


In practice, the design and operation of water gates typically take into account the hydrostatic forces acting on them to ensure that they can withstand the forces and operate safely and efficiently.