Solve Hydraulic Pump Homework: F1=33.5 N

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SUMMARY

The discussion centers on calculating the force required on piston 1 (F1) to support an object weighing 983 N using hydraulic principles. The relevant equation is F1*d1 = Fp*d2, where d1 and d2 are the moment arms of the respective forces. The calculated force on piston 1 is 33.5 N, derived from the diameters of the pistons: 0.797 cm for piston 1 and 4.32 cm for piston 2. The solution indicates that the force on piston 2 (F2) is 1.08 N, confirming the relationship between the forces and areas of the pistons.

PREREQUISITES
  • Understanding of Pascal's principle in hydraulics
  • Familiarity with the concept of moment arms
  • Basic knowledge of force and area relationships
  • Ability to perform calculations involving circular areas
NEXT STEPS
  • Study the applications of Pascal's principle in hydraulic systems
  • Learn about calculating forces in hydraulic lifts
  • Explore the derivation of the hydraulic force equation F1*d1 = Fp*d2
  • Investigate the effects of friction in hydraulic systems
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Students in physics or engineering courses, particularly those focusing on fluid mechanics and hydraulics, as well as professionals working with hydraulic systems and machinery.

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Homework Statement



Piston 1 in the figure below has a diameter of 0.797 cm; piston 2 has a diameter of 4.32 cm. In the absence of friction, determine the force required on piston 1 necessary to support an object, m, with weight 983 N. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless).
http://capa6.phy.ohiou.edu/res/ohiou/serwaylib/Graphics/Graph09/serw0918.gif



Homework Equations



F1*d1 = Fp*d2, where d1 is the moment arm of F1, and d2 is
the moment arm of Fp.

The Attempt at a Solution



(33.5 N)(pi*.003895^2)=F2(pi*0.0216^2)
F2= 1.08 N
 
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