I tried that and got 4220.42 m/s, which it says is also wrong.LowlyPion said:Isn't the area the total of the area of the 24 holes and not just the area of 1?
Thaakisfox said:Those are radiuses. And when you calculate the area you have to square them, since the area of the cross section of a cylinder is a circle, and the area of the circle is: [tex]R^2\pi[/tex].
And you have to do what LowlyPion said, that you consider all the 24 holes, which are also circles ;)
How did you do that? I got 175/24 = 7.3Thaakisfox said:You considered only one hole. Whereas there are 24 holes, so you have to divide your answer by 24, and you will get: [tex]v\approx 8.79 m/s[/tex]
keemosabi said:I tried that and got 4220.42 m/s, which it says is also wrong.
Thank you for the help. I get it now.Thaakisfox said:you have to square 6.1 too i.e. [tex]6.1^2[/tex] and [tex] 4.6^2[/tex]
The Equation of Continuity is a fundamental principle in fluid dynamics that states that the mass flow rate of a fluid must remain constant at any point along a continuous flow. It is based on the principle of conservation of mass.
The Equation of Continuity is derived from the conservation of mass principle, which states that mass cannot be created or destroyed. It is also related to the concept of conservation of energy, as the mass flow rate is directly related to the energy flow rate in a fluid.
The Equation of Continuity is used in many practical applications, such as in the design of fluid systems, hydraulic machinery, and aerodynamics. It is also used in meteorology and oceanography to analyze the movement of air and water currents.
The Equation of Continuity assumes that the fluid is incompressible and that there are no external forces acting on the fluid. It also assumes that the fluid is flowing steadily, without any turbulence or changes in direction. These limitations may not hold true in all real-world situations.
Bernoulli's Principle is a special case of the Equation of Continuity, which applies to ideal fluids in a steady flow with no viscosity. It states that the sum of kinetic energy, potential energy, and pressure energy remains constant throughout the flow. Bernoulli's Principle can be derived from the Equation of Continuity and is often used in the analysis of fluid flow in pipes and channels.