Form 5 · Chapter 2

Pascal's Principle

Pascal's principle states that pressure applied to an enclosed fluid is transmitted equally in all directions throughout the fluid.

Transmission of pressure

Pascal's principle states that a pressure applied to an enclosed, incompressible fluid is transmitted equally and undiminished to every part of the fluid and to the walls of the container. This is the basis of the hydraulic system, which acts as a force multiplier.

Key formula / 关键公式

Since pressure is transmitted equally:
P1 = P2, therefore F1 / A1 = F2 / A2
Force multiplier: F2 = F1 × (A2 / A1)

The hydraulic system

A small force on a small piston creates a pressure that is transmitted to a large piston, producing a much larger force. The larger the ratio of areas, the greater the force multiplication. Hydraulic brakes and hydraulic jacks work this way.

Worked example / 例题

A hydraulic jack has a small piston of area 0.001 m² and a large piston of area 0.05 m². A force of 40 N is applied to the small piston. Find the output force.
F2 = F1 × (A2 / A1) = 40 × (0.05 / 0.001) = 40 × 50 = 2000 N.

Worked example / 例题

In a hydraulic system, the input piston (area 0.002 m²) has 20 N applied. What pressure is transmitted?
P = F / A = 20 / 0.002 = 10 000 Pa, transmitted equally to the output piston.

Remember / 记住

  • Pressure is transmitted equally throughout an enclosed fluid.
  • A larger output area gives a larger output force (force multiplier).
  • The fluid must be (nearly) incompressible for the system to work.

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