Force exerted by water in a U-shaped tube

In summary, the force exerted by water in a U-shaped tube is known as hydrostatic pressure and can be calculated using the equation: F = ρghA. This force is affected by the density of the water, acceleration due to gravity, height of the water column, and cross-sectional area of the tube. The force is directly proportional to the height of the water column and has various real-life applications in fluid mechanics, engineering, and hydrology. It is used in designing and constructing dams, pipes, and other hydraulic structures, as well as understanding the behavior of fluids in different environments.
  • #1
Dansuer
81
1

Homework Statement


In a U-shaped tube, water is flowing with velocity v. The flowing rate is u, and it's constant. What force does the water exert on the wall of the tube.

Homework Equations



F = dp/dt

u = m/t

The Attempt at a Solution


The change in momentum is
[itex] mv - (-mv)[/itex]

or

[itex] 2uv \Delta t[/itex]

so

[itex] F = 2uv[/itex]

is this correct?
 
Last edited:
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  • #2
Yes, that's correct.
 
  • #3
Thanks a lot !:biggrin:
 

1. What is the force exerted by water in a U-shaped tube?

The force exerted by water in a U-shaped tube is known as hydrostatic pressure. It is the pressure exerted by a fluid at rest due to the weight of the fluid above it.

2. How is the force exerted by water in a U-shaped tube calculated?

The force exerted by water in a U-shaped tube can be calculated using the equation: F = ρghA, where ρ is the density of water, g is the acceleration due to gravity, h is the height of the water column, and A is the cross-sectional area of the tube.

3. What factors affect the force exerted by water in a U-shaped tube?

The force exerted by water in a U-shaped tube is affected by the density of the water, the acceleration due to gravity, the height of the water column, and the cross-sectional area of the tube.

4. How does the height of the water column impact the force exerted by water in a U-shaped tube?

The force exerted by water in a U-shaped tube is directly proportional to the height of the water column. This means that as the height of the water column increases, the force exerted by the water also increases.

5. What are some real-life applications of understanding the force exerted by water in a U-shaped tube?

Understanding the force exerted by water in a U-shaped tube is important in various fields such as fluid mechanics, engineering, and hydrology. It is used in designing and constructing dams, pipes, and other hydraulic structures. It is also useful in understanding the behavior of fluids in different environments, such as in oceans and lakes.

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