Stuck on a Water Tower Pressure Problem: Dynamic or Static?

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SUMMARY

This discussion focuses on the concepts of static and dynamic pressure in fluid mechanics, particularly in relation to a water tower and hydraulic systems. Static pressure is defined as the pressure exerted by the weight of the water, while dynamic pressure arises when water moves through pipes, calculated using the formula 1/2 density of water times velocity squared, in accordance with Bernoulli's principle. The conversation also explores hydraulic multiplication, illustrating how a 2-inch diameter piston can exert force on a 6-inch diameter piston, emphasizing the relationship between force and piston area.

PREREQUISITES
  • Understanding of static and dynamic pressure in fluid mechanics
  • Familiarity with Bernoulli's principle
  • Knowledge of hydraulic systems and hydraulic multiplication
  • Basic mathematical skills for calculating pressure and force
NEXT STEPS
  • Study Bernoulli's equation and its applications in fluid dynamics
  • Learn about hydraulic systems and their practical applications in engineering
  • Explore the principles of pressure conversion and energy density in fluids
  • Investigate the relationship between piston area and force in hydraulic systems
USEFUL FOR

Engineers, fluid mechanics students, and anyone interested in understanding the principles of pressure dynamics and hydraulic systems.

Idea04
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i'm stuck on a problem. Let's say you have a large water tower. and the pressure is basically static pressure from the weight of the water. But when the water starts moving through pipes is the pressure then dynamic pressure? In which would you have to calculate the pressure from 1/2 density of water times velocity ^2.

And another thing, I was studying hydraulic multiplication briefly. What I studied was you have a 2 inch diameter piston moving nine inches downward with a hundred pounds force. And it pushes a 6 inch diameter piston upward 1 inch with 900 pounds force. My question is if you pushed down the large piston with a hundred pounds force, then what kind of force will the small piston get.
 
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Idea04 said:
i'm stuck on a problem. Let's say you have a large water tower. and the pressure is basically static pressure from the weight of the water. But when the water starts moving through pipes is the pressure then dynamic pressure? In which would you have to calculate the pressure from 1/2 density of water times velocity ^2.
Bernoulli's principle applies. Pressure is a measure of the energy density of the fluid. Pressure can be converted to kinetic energy density (KE/unit volume), in which case the pressure must decrease by the amount of the increase in kinetic energy density.

And another thing, I was studying hydraulic multiplication briefly. What I studied was you have a 2 inch diameter piston moving nine inches downward with a hundred pounds force. And it pushes a 6 inch diameter piston upward 1 inch with 900 pounds force. My question is if you pushed down the large piston with a hundred pounds force, then what kind of force will the small piston get.
I think you can figure that out. Put a 900 lb downward force on the large piston. and a 100 lb downward force on the small piston. Does either piston move? What is the force being exerted by the large piston, then, on the small one? What is the force exerted by the small on the large?

AM
 

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