Calculating Force and Distance in a Hydraulic Lift System

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SUMMARY

The discussion focuses on calculating the force required to lift a car using a hydraulic lift system with piston radii of 2.50 cm and 10 cm. The calculated force needed to lift a 1000 kg car is 612.5 N, derived from the pressure equations P2 = P1 + pgd and P = F/A. Additionally, the challenge of determining the distance the car is lifted when the smaller piston is pushed by 10 cm is addressed, emphasizing the relationship between the displacement of the pistons.

PREREQUISITES
  • Understanding of Pascal's Principle in hydraulics
  • Familiarity with pressure equations, specifically P = F/A
  • Knowledge of unit conversions, particularly between centimeters and meters
  • Basic grasp of force and mass relationships in physics
NEXT STEPS
  • Study the principles of hydraulic systems and Pascal's Law
  • Learn about the relationship between force and area in hydraulic applications
  • Explore the concept of mechanical advantage in hydraulic lifts
  • Investigate the calculation of displacement in hydraulic systems using the formula for volume displacement
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Students studying physics, engineers working with hydraulic systems, and anyone interested in mechanical engineering principles related to force and motion.

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Homework Statement


In a hydraulic lift, the radii of the pistons are 2.50 cm and 10 cm. A car of mass 1000 kg is to be lifted for inspection.

b) what force must be applied to the proper piston to be able to lift the car with ease?

C) If the smaller piston is pushed by 10 cm, how far is the car lifted?

Homework Equations



P2 = P1 + pgd
P = F/A

The Attempt at a Solution



I found that in b, the required force is 612.5 N, however for C I just don't know what to do. I try putting in 10 cm into the first formula (converting 10 cm into 0.1 m), however I just don't know what to do from there.
 
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Please, can anyone help me.
 

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