Problem with Bernoulli's equation.

In summary, the problem involves an open can filled with water and a hole punched at a certain height. Bernoulli's equation can be used to derive a formula for the speed of the water flowing from the hole, with h representing the depth of the hole. The initial speed of the water flowing from the hole is found to be 1.92 m/s, while the speed when the can is half empty is 1.298 m/s. There may be an issue with the height (h) in the problem.
  • #1
mimi83
4
0

Homework Statement




An open can is completely filled with water, to a depth of 20.6 cm. A hole is punched in the can at a height of 1.7 cm from the bottom of the can. Bernoulli's equation can be used to derive the following formula for the speed of the water flowing from the hole.

In this formula, h represents the depth of the submerged hole below the surface of the water. (a) How fast does the water initially flow out of the hole? (b) How fast does the water flow when the can is half empty?

Homework Equations



v=[tex]\sqrt{}2gh[/tex]

The Attempt at a Solution

 
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  • #2
Assuming that is the correct equation, part (a) should be v=sqrt[(2)(9.8)(.189)] which equals 1.92 m/s. Part (b) should be v=sqrt[(2)(9.8)(.086)] which equals 1.298 m/s.
 
  • #3
thank your for helping me, but the answers are incorrect. I think the problem is about the height ( h).
 

Related to Problem with Bernoulli's equation.

What is Bernoulli's equation?

Bernoulli's equation is a fundamental principle in fluid mechanics that relates the flow speed, pressure, and height of a fluid. It states that as the speed of a fluid increases, the pressure of the fluid decreases, and vice versa.

What are the assumptions of Bernoulli's equation?

The assumptions of Bernoulli's equation include: the fluid is incompressible, the flow is steady, the fluid is non-viscous, and there is no energy loss due to friction.

What are some common problems with Bernoulli's equation?

Some common problems with Bernoulli's equation include: not accounting for real-world factors such as viscosity and turbulence, not considering the effects of compressibility at high flow speeds, and not accounting for energy loss due to friction.

How can the problem with Bernoulli's equation be solved?

The problem with Bernoulli's equation can be solved by using more complex equations that account for real-world factors, such as the Navier-Stokes equations. Additionally, experiments and simulations can be used to validate the results obtained from Bernoulli's equation.

What are some real-world applications of Bernoulli's equation?

Bernoulli's equation is used in a wide range of applications, including aerodynamics, hydraulics, and fluid dynamics. It is commonly used in the design of airplanes, pipes, pumps, and turbines.

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