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RUphysics3
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The equation states that A1V1=A2V2. What about in a situation like a showerhead, where it's one long pipe/tube, then opens up to say, 20 holes. Is it now A1V1=A2V2/20 ? why/why not?
why did they put a twenty at the bottom here,FactChecker said:A2 is the total area, regardless of how many holes it is divided up into. That is because over any length of time, the total flow in equals the total flow out. So don't divide by 20.
That sounds right to me.RUphysics3 said:okay, so A2 , if there are 20 openings, is the area of ALL 20 openings, while v2 is the speed of the liquid out of one of the openings, which is uniform through all twenty of them as they are equal areas?
Adding more openings does not affect the equation of continuity. The equation remains the same regardless of the number of openings. The equation simply states that the mass flow rate into a system equals the mass flow rate out of the system.
The mass flow rate will increase if more openings are added. This is because more openings provide more pathways for fluid to enter or exit the system, resulting in a higher mass flow rate.
No, the shape or size of the openings does not affect the equation of continuity. The equation only considers the total mass flow rate into and out of the system, not the specifics of the openings.
Yes, the equation of continuity can be applied to any type of fluid, whether it is a liquid or a gas. This is because the equation is based on the principle of conservation of mass, which applies to all types of fluids.
The equation of continuity is directly related to the principle of conservation of mass. It states that the total mass entering a system must equal the total mass exiting the system, in order to maintain the principle of conservation of mass. This is why the equation is often used in fluid mechanics, where the movement of fluids must adhere to the principle of conservation of mass.