- #1
IMO , it should be -P1 - (P1 +ρg ) ... why the ans is = - 2ρg ?Chestermiller said:
I don't see a right hand side to this equation, and one of your two pressure terms is of the wrong sign. Next time you respond, please respond with a complete force balance equation, based on a proper free body diagram, and including a mass times acceleration term.hotjohn said:
so , what is the correct one ?Chestermiller said:
No, no. That's not how we work here. We can only help you to help yourself by giving you hints and asking you leading questions. So my first hint for you was to draw a free body diagram showing the forces acting on the water (do you feel that you have progressed beyond the need to use free body diagrams any more?), and my second hint was to write a force balance equation based on the free body diagram. So, the ball is in your court now.hotjohn said:
Pressure gradient is a measure of how rapidly the pressure changes over a given distance. It is calculated by dividing the change in pressure by the change in distance.
Density plays a crucial role in determining the pressure gradient. As density increases, the pressure gradient also increases, meaning that the pressure changes more rapidly over a given distance.
The relationship between pressure gradient and density is directly proportional. This means that as one increases, the other also increases, and vice versa.
Pressure gradient is typically measured using a manometer, which is a device that measures the difference in pressure between two points. It can also be calculated using specialized instruments such as a pressure transducer.
Understanding the relationship between pressure gradient and density is crucial in fields such as fluid dynamics, meteorology, and engineering. It helps in predicting and controlling the behavior of fluids and gases in various systems, such as in pipelines, weather patterns, and aircraft design.
