Solving Hydraulic Lift & Friction Force Problems

Click For Summary
SUMMARY

The discussion focuses on solving hydraulic lift and friction force problems, specifically addressing two key questions. The first question involves demonstrating that to raise a larger piston by a distance d2, a force △F = ρg(A1 + A2)d2 must be applied to a smaller piston. The second question requires calculating the frictional force between a plug and a wall, given a horizontal pipe and specific measurements. Participants express confusion regarding the relationship between force, area, and distance, as well as the implications of the lake's volume remaining constant.

PREREQUISITES
  • Understanding of Pascal's Principle in hydraulics
  • Familiarity with the concepts of force, area, and distance in physics
  • Knowledge of fluid dynamics, specifically related to pressure and friction
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study Pascal's Principle and its applications in hydraulic systems
  • Learn about the relationship between pressure, force, and area in fluid mechanics
  • Investigate the concept of frictional forces in fluid dynamics
  • Explore practical examples of hydraulic lifts and their calculations
USEFUL FOR

Students studying physics, engineers working with hydraulic systems, and anyone interested in understanding fluid mechanics and frictional forces in practical applications.

ascll
Messages
2
Reaction score
0

Homework Statement



1)

Consider the hydraulic lift which has a smaller piston of area A1 and a larger piston area A2. Initially the two pistons are not moving.

Show that in order to raise the larger piston by a distance d2, it is necessary to apply a force △F = ρg(A1 + A2)d2 on a smaller piston
2)

The water in the lake behind a wall is 15 m deep. A horizontal pipe 4 cm in diameter passes through the wall 6 m below the water surface, which is blocked by a plug. Assume the volume of lake is so large that its surface remains constant even when water flows out of the wall.
Find the frictional force between the plug and the wall.

The Attempt at a Solution



1) for this question , i can only think about the relation of the area , force and distance , but i cannot group them up and form the equation as the question stated

F1 * d1 = F2 * d2
A1 * F2 = A2 * F1

2) i don't know where the friction come from and seems don't know what's going on in this question...
 
Physics news on Phys.org
nobody can help...?
 
For the first question, is there a picture given? Can you describe the picture?

For the second question... I don't understand this part: "Assume the volume of lake is so large that its surface remains constant" surface area?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
15
Views
1K
Replies
1
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 1 ·
Replies
1
Views
6K