Hydrostatic Definition and 227 Threads

Law of hydrostatic pressure is: Ph=p*h*g. That what I do not undestand is,why we care about the height? Thanks.

For the hydrostatic pressure, when do we use [ p = ρ.g.h ] and [ p = ρ.g.hcg ] where: ρ = density g = acc of gravity h = height of water column hcg = the distance to the center of gravity from the surface of water downward

Even problem in textbook.Homework Statement "Set up the integral to find the hydrostatic force on the face of the aquarium water tank, whose cross sectional area can be described by, y = e^-x^2 on 0.5≤x≤4.5 meters, resting at the bottom of the water 4 meters deep. Assume the bound y=0". The...

Here are the questions: I have posted a link there to this topic so the OP can see my work.

A tank contains a pool of mercury 0.3 m deep, covered with a layer of water that is 1.2 m deep. The density of water is 1.0 x 10^3 kg/m3 and that of mercury is 13.6 x 10^3 kg/m3. Find the pressure exerted by the double layer of liquids at the bottom of the tank. Ignore the pressure of the...

Hydrostatic forces on a gate with no width?? Homework Statement A gate is placed at the bottom of a dam wall at a distance of "H" below the surface (measured from the top of the gate). The gate is hinged so that there is 1.2m above the pivot point and 0.8m below the pivot. A stop is placed at...

Hello, I'm trying to go through an example problem in a fluid dynamics textbook, and I'm having trouble understanding some of their logic. The problem deals with a solid cylinder of radius 0.8 m hinged at its midpoint that opens when the water it holds back reaches 5 m, and it is asking for...

Hello, Consider a cylindrical region (length dr, end area dA) at a distance r from the center of the sun Density =ρ(r) Volume = Length x area = dr.dA (How is the formula for volume of a cylinder works here?) Mass= Density x Volume = ρ(r).dr.dA Now, computing F(grav) =...

Homework Statement First of all I apologize, the question is originally in my mother language, so I will do my best to translate it. I apologize if I commit any mistakes, and feel free to tell me if something is unclear. The phenomenom where water flows on the outside side of a teapot...

Homework Statement The question asks to find the pressure force on the gate A-) centered on a tanker under 3m of water sector and on the cover plate is manufactured to calculate the net hydrostatic force. B-) Determine the location of the center of pressure. (With seal liquid...

Hello! I am currently looking into building a small hydrostatic pressure chamber to test the behaviour of a piece of tissue (cartilage) under physiological pressures. The pressure range should be between 5-15 MPa. I need to measure the volume change/deformation of the tissue, so the...

Homework Statement An aquarium 5 ft long, 1 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.) (a)Find the hydrostatic pressure on the bottom of the aquarium in lb/ft^2 Homework Equations hydrostatic pressure = ρgd = δd ρ = 62.5...

Homework Statement One end of a horizontal string is attached to the wall, and the other end passes over a pulley. A sphere of an unknown material hangs on the end of the string. The string is vibrating with a frequency of 392 cycles per second. A container of water is raised under the sphere...

Homework Statement A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the top is 3 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5...

Homework Statement I am only confused about F_y. The Attempt at a Solution I don't understand why in the equation F_y = ρghcA, the hc is 5m. Why do they take the centroid distance to be the very bottom?

Hey, I came across this idea a couple of years ago. It's been a long time since I took introductory physics. But I'm curious as to whether this is feasible. If I'm crazy, just say so! See attached image. 1. Intake tube, vacuum chamber and condenser are initially filled with water. Valve (A)...

Hydrostatic problem - Impossible integral! Just studying hidrostatic over the internet and I saw the following problem: A U-Tube filled with water, initially at rest in a horizontal table, has A1=40cm2, A2 = 20cm2, A3=30cm2, h1 = 80cm, h2 = 20cm and L = 100cm (below piture). It is pressed in...

I understand all the concepts, the only thing I don't know is were does Yc=hc/sin 60 comes from. Im kind of visual, if you could upload how you do it, it would help

Hydrostatic Pressure Force "must" be perpendicular Hi, I'm taking AP Physics B and we started learning about fluids and pressure. My teacher told me that the pressure of a fluid acting in a a container only applies a perpendicular force to the sides, which doesn't make sense. If you 'zoomed...

A swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft and the deep end, 9 ft. If the pool is full of water, estimate the force on one of the sides. They mean one of the trapezoidal sides, not the rectangular ones. Anyway, I've...

Homework Statement In this problem, you'll model the lower atmosphere of Venus. The atmospheric pressure reaches 1 bar (100 kPa) in the middle of the dense cloud deck, where T ~ 350 K. At the surface, the pressure is 90 bars (9000 kPa). From the surface to the 1 bar level, the temperature T(z)...

"Cheap" Hydrostatic Testing Chamber As background information, I'm a computer programmer by trade but I want to get into underwater ROVs as a hobby because I need a hobby that doesn't involve sitting in a chair all the time, because Bob Ballard was one of my heros as a child, and because there...

Homework Statement Consider an isothermal atmosphere (T = const.) over a sufficiently small range of radii, so that you can assume that the gravitation acceleration g is constant. Use the equation for the gas pressure gradient in hydrostatic equilibrium to show that the gas pressure decreases...

I was reading a paper and I saw a statement that says zero hydrostatic pressure. I was wondering what it means..

I want to derive a formula for pressure at depth in a constant density planet, which sounds pretty simple. Setting up a force balance, d(4∏*r2P) = -4/3∏r3*ρ*4∏ρ*r2*dr*G/r2 I'm too lazy to write down a thorough derivation, but by pretty simple calculus and integrating from the planet surface...

hi, i know hydrostatic pressure has been discussed on this forum but I'm still not convinced (i know, crazy me) i have a practical application actually. i'm planning to build a bubble panel (a.k.a bubble wall). its like a tall, wide but very narrow fish tank but no fish, just bubbles. i'd...

Homework Statement im required to find the width of the strip of integration across the triangular lamina w(s) and then integrate to find the area I am given w(s) = x_right(s) - x_left(s) between 0<s<λh and λh<s<h Homework Equations The Attempt at a Solution i have...

i have this example of a hydrostatic force on a plane surface. what i don't understand is how the width of the integral strip is derived it says w(s)=b(s-s1)/L i don't understand how this comes about? would be really greatful if anyone could direct me i can't find anything on...

Hey all, I posted this in the Astrophysics sub-forum, but traffic here seems higher (if a mod sees this, can you close the other thread please?) Long story short, for my Modern Physics course, we have to do a research paper on a physics topic we didn't cover in class. Since I've always...

Homework Statement The hydrostatic pressure term in the Bernoulli equation (ρgz) decreases with fluid depth. Why? Homework Equations Bernoulli Equation (multiplied by density ρ to give us pressure units): P+\rho\frac{V^2}{2}+\rho gz=constant The Attempt at a Solution In the hydrostatics...

1. Homework Statement A large tank is designed with ends in the shape of the region between the curves y =(1/2)x^2 and y = 12, measured in feet. Find the hydrostatic force on one end of the tank if it is filled to a depth of 8 ft with gasoline. (Assume the gasoline's density is 42.0 lb/ft^3)...

Using the picture added Q4, work out the hydrostatic force applied to AB when the water level is at 9cm and 12.8cm. 50g of weight was added to balance the setup. And 260g and 460g were used respectively. width of container was 75mm Also need the moments Heres what I've done F...

This is regarding an accretion disc orbiting a star. In the z (vertical) direction there is a hydrostatic equilibrium. \frac{1}{ρ}\frac{∂P}{∂z} = -\frac{GMz}{(R^{2} + z^{2})^{3/2}} The right hand side of the expression is the Gravitational potential energy and the left side is the pressure...

Homework Statement I am confused with the derivation of Hydrostatic force on a plane surface. What is confusing me is, how can the integral of the differential force get the resultant force for the entire area of the surface? The differential force is as follows: dF = ρgh dA and the...

Homework Statement A 30-ft-high, 1-ft-diameter pipe is welded to the top of a cubic container (3ft x 3ft x 3ft). The container and pipe are filled with water at 20°C. Determine the pressure forces on the bottom and sides of the container. I already know the solution to this problem, but I...

Homework Statement Find the hydrostatic force against one side of the plate by Reimann sum. Then express the force as an integral and evaluate it.Homework Equations F=pg*Ad pg do not need to be solved. they can be left like that. F=force p= density g=gravity a= area d= distance The Attempt at...

Hey guys, So I have just learned that the formula for a fluid's hydrostatic pressure (let's say water for the purpose of simplification) in terms of depth is: P = ρ * g * h Now I have been reading a bit on my textbook and I found out that the derivation of this formula is based on the...

Before I begin I would like to say hello to everyone. This is my first post. I will follow and abide by all rules here. Homework Statement A rectangular plate measuring 2m by 5m is suspended vertically in a liquid with density 500 kg per cubic meter in such a way that one of its longer sides is...

Homework Statement A half-spherical dome of radius R is submerged at a depth H underwater. Find the hydrostatic force acting on the dome. Homework Equations The Attempt at a Solution

One atmosphere of pressure is equal to 101,325 Pa. If the density of water is 998 kg/m3, what is the necessary depth to reach 2 atm of pressure relative to the surface Hydrostatic equation: p=-wh where p is change in density, w is specific weight (density*gravity), and h is change in...

Hi there, I was wondering if the hydrostatic force applied on the surface of a sponge is the same of the same force applied on a different material with the same surface area. Let's say I have 1m^3 of water soaked sponge and 1m^3 of rubber. The forces applied on the surface of those...

Homework Statement Find the total hydrostatic force on the face of a semi-circular dam with radius of 20 m, when its reservoir is full of water. The diameter of the semicircle is the top of the dam. Homework Equations The Attempt at a Solution the width at any point would be...

Homework Statement Two open-top containers, #1 on the left and #2 on the right, with equal base area A are placed on two scales. The #2 container on the right has an lower diameter twice that of its upper diameter and the height of its lower (larger) diameter is half that of its water height...

I have come to understand the basics of Pascal's Principle/Hydrostatic pressure, but there is one scenario I am looking for help with. If I have a piston at the bottom of a chamber of water, and I want to push the piston up to lift the water, I understand that I need to exert a greater PSI on...

Homework Statement This isn't really a homework problem, it's a passage in the lecture notes that I don't quite get wholly. So here's the passage: "To compute the hydrostatic force on a semicircular wall of radius a which forms the end of a swimming pool filled with water, between D(y) = 0 and...

Hi guys, new to the forum here. I have of a conceptual question that I can't wrap my head around. Here's the situation: there's a reservoir filled with water attached to a "three-column manometer" with each column open to the atmosphere. The horizontal tube that connects all three of the...

We are interested in pressure along green axis in the first picture and along orange axis in the second picture. Air pressure is constant everywhere. For the first case: under water surface: p = patm + ro.g.h patm = 105 Pa = 105 kg.m-1.s-2 ro = 103 kg.m-3 g = 10 m.s-2 h =...

How would I go about calculating the hydrostatic force on the walls of an upright Cylindrical Tank. To keep it simple, it is completely full of water, is 1m tall, has a diameter of 1m. Many thanks for anyone that can help.

I've got a question concerning the resultant force due to hydrostatic pressure. I understand how to calculate an object with uniform dimensions as depth (and pressure) increase. But I got thrown a serious curve ball on a Statics test. The situation was such: A downward facing isosceles...

2 parts: 1. What does it mean if you get a negative gauge pressure value when calculating from manometer containing compound liquid? When calculating absolute pressure how does atmospheric pressure affect this negative pressure ie. atmospheric pressure opposes the direction of force? 2...