Pressure at a point in a fluid

In summary, pressure at a point in a fluid is the force per unit area exerted by the fluid on a surface at that point. It is calculated using the equation P = F/A, where P is pressure, F is the force exerted by the fluid, and A is the area of the surface the fluid is acting on. Several factors, such as density, depth, and gravity, can affect pressure at a point in a fluid. It increases with depth due to the weight of the fluid above it. Total pressure takes into account the pressure at all points below the surface, while pressure at a point only considers the pressure at that specific point.
  • #1
abs123456
15
1

Homework Statement



DEFINE PRESSURE AT A POINT IN A FLUID AND SHOW THAT IT IS A SCALOR QUANTITY?


Homework Equations



I saw this in a recent paper and i am not too sure about how i should go about doing it..
Its a 7 mark question..

Any Ideas?

The Attempt at a Solution

 
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  • #2
Bernoulli equation ?
 
  • #3
That must be nasty exam if they expect you to reconstruct the demonstration that is in the introductory section of the typical fluid mechanics book. It's something about analyzing the forces on the face of an infinitely small polyhedron of fluid.
 

What is pressure at a point in a fluid?

Pressure at a point in a fluid is the force per unit area exerted by the fluid on a surface at that point. It is a measure of how much the fluid is pushing on the surface at that specific point.

How is pressure at a point in a fluid calculated?

Pressure at a point in a fluid is calculated using the equation P = F/A, where P is pressure, F is the force exerted by the fluid, and A is the area of the surface the fluid is acting on. This means that the pressure at a point in a fluid is directly proportional to the force exerted by the fluid and inversely proportional to the surface area.

What factors can affect pressure at a point in a fluid?

Pressure at a point in a fluid can be affected by several factors, including the density of the fluid, the depth of the fluid, and the acceleration due to gravity. The shape and orientation of the surface the fluid is acting on can also affect the pressure at that point.

How does pressure at a point in a fluid change with depth?

Pressure at a point in a fluid increases with depth due to the weight of the fluid above it. This is because the deeper the point is, the more fluid there is above it, resulting in a greater force and therefore a higher pressure.

What is the difference between pressure at a point in a fluid and total pressure?

Pressure at a point in a fluid refers to the pressure exerted by the fluid at a specific point on a surface. Total pressure, on the other hand, refers to the pressure exerted by the entire fluid column above a specific point. This means that total pressure takes into account the pressure at all points below the surface, while pressure at a point only considers the pressure at that specific point.

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