Pascals principle and hydraulic lift

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SUMMARY

This discussion centers on Pascal's principle and its application in hydraulic lifts, specifically the relationship between the forces exerted on two pistons of differing areas. The key equation derived is F2 = F1 * (A2/A1), where A2 is three times A1. Participants clarify that while the force exerted on the smaller piston results in a larger force on the larger piston, this is consistent with Newton's third law and the conservation of energy. The conversation emphasizes the importance of understanding the volume of fluid displaced and the relationship between force, area, and distance in hydraulic systems.

PREREQUISITES
  • Understanding of Pascal's principle in fluid mechanics
  • Basic knowledge of Newton's laws of motion
  • Familiarity with concepts of force, area, and pressure
  • Knowledge of conservation of energy principles
NEXT STEPS
  • Study the derivation of Pascal's principle in hydraulic systems
  • Explore the equation of continuity in fluid dynamics
  • Learn about the applications of hydraulic lifts in engineering
  • Investigate the relationship between force, work, and energy in mechanical systems
USEFUL FOR

Students of physics, engineers, and anyone interested in understanding the mechanics of hydraulic systems and the principles governing fluid dynamics.

  • #31
aaaa202 said:
I really liked this part. Does something similar happen when the pistons are not in line but like in the picture in post #21?

Yes. If you want to calculate it in full glory, you can carry out a surface integral of pressure times inward normal to the surface. This gives the net force on the fluid. I in integrating you leave out the pistons then this total force must equal the forces on the pistons.
 

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