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Difficulty: EasyPascal's Principle and Hydraulics

Match the following hydraulic system components and concepts with their correct mechanical effects or descriptions.

  • Small input pistonTravels a greater distance while requiring a smaller applied force
  • Large output pistonTravels a shorter distance while exerting a greater lifting force
  • Hydraulic fluidIncompressible medium that transmits pressure throughout the closed system
  • Piston area ratioDetermines the mechanical advantage of the system

Answer

The small input piston matches with traveling a greater distance for less force. The large output piston matches with traveling a shorter distance for greater force. Hydraulic fluid matches with the incompressible medium transmitting pressure. Piston area ratio matches with determining mechanical advantage.
Each component in a basic hydraulic system has a distinct mechanical role. The small input piston trades distance for force, while the large output piston trades force for distance. The area ratio defines this mechanical advantage, and the incompressible fluid ensures the pressure is transmitted without loss.

Step-by-Step Solution

1
Analyze the mechanical relationship between piston size and movement distance.
Smaller pistons move farther with less force; larger pistons move less distance with more force.
This relationship is dictated by the conservation of work (Work = Force × Distance) in the hydraulic system.
2
Identify the primary role of the fluid in a hydraulic system.
The fluid serves as the incompressible medium that transmits pressure.
Pascal's Principle states that pressure applied to an enclosed fluid is transmitted equally in all directions.
3
Define what determines the force multiplication factor.
The ratio of the output piston area to the input piston area dictates the mechanical advantage.
Since pressure is force per unit area, applying equal pressure across different areas results in proportional forces.

Key Concept

Pascal's Principle and conservation of work in hydraulic systems
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Topics

Pascal's Principle and Hydraulics

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