# Magnitude of a Force on a hatch in a Vessel.

• Basch
In summary, the conversation discusses the given densities of the materials involved in a vessel, as well as the wall thickness and height of the neck. The first part of the question requires finding the force on the hatch when the height of the liquid is 0. The relevant equations and an attempt to solve the question are also mentioned. The final answer is 1.01e5 N, but there is a question about the buoyant force from the water beneath the hatch.
Basch

## Homework Statement

We're told the density of ever material involved here, the liquid in the vessel, called "LAB", the water on the outside, and the acryllic that the vessed is made of.
LAB: 860 kg/m^3
Water: 1000 kg/m^3
Acryllic: 1185kg/m^3
Also, the wall thickness of the vessel is 5.4 cm. The height of the neck is labeled delta h, we're also told to not take the pressure difference between the inside and the outside, due to the 5.4cm wall.

This is a three part question, but I'm only looking for help on the first part, which asks us to find the force on the hatch, which is 1.00m^2 big, when delta h = 0.

## Homework Equations

We need to use Pressure = Force/Area for this, solving for force gives us
Force = Pressure*Area
density * gravity * height = pressure

## The Attempt at a Solution

My attempt to solve the question, was to solve for the value of pressure of the inside of the system, and then use that to solve for force. Since the height of liquid in the neck is 0, we have no liquid in the neck, so we only have to consider what's inside the circular area, which has a height of 12m, density of 860kg/m^3, and gravity is 9.81 m/s^2, so which we have to add the pressure of 1 atm due to the air at the top, 1.01e-5 Pa.

Which gives us: 101239 Pa * 1.00 m^2, so the answer is 1.01e5 N?

But what about the buoyant force from the water beneath the hatch?

Isn't the pressure there going to be 12m*Δρ*A ?

Oops, I accidentally submitted this twice, i had already solved it in another post. Sorry.

## 1. What is the definition of magnitude of a force on a hatch in a vessel?

The magnitude of a force on a hatch in a vessel refers to the strength or intensity of the force acting on the hatch. It is typically measured in Newtons (N) or pounds (lbs).

## 2. How is the magnitude of a force on a hatch in a vessel calculated?

The magnitude of a force on a hatch in a vessel can be calculated by multiplying the mass of the object by its acceleration, or by using the formula F=ma, where F is the force, m is the mass, and a is the acceleration.

## 3. What factors affect the magnitude of a force on a hatch in a vessel?

The magnitude of a force on a hatch in a vessel is affected by various factors, including the mass of the object, the acceleration of the vessel, and the direction and angle of the force.

## 4. How does the magnitude of a force on a hatch in a vessel impact the vessel's stability?

The magnitude of a force on a hatch in a vessel can impact the vessel's stability by creating an imbalance in the forces acting on the vessel, potentially causing it to tip or capsize. It is important for vessel operators to carefully consider and manage the magnitude of forces acting on the vessel to maintain stability.

## 5. Can the magnitude of a force on a hatch in a vessel be controlled or manipulated?

Yes, the magnitude of a force on a hatch in a vessel can be controlled or manipulated by adjusting the mass, acceleration, or direction of the object or by introducing counteracting forces. This can be done through various methods such as using ballast or adjusting the vessel's speed and direction.

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