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Principles and Applications of Pressure

Jul 18, 2024

Chapter 2: The Pressure

Topics Covered:

  • Effects of Pressure
  • Formula of Pressure
  • Hydrostatic Pressure
  • Pascal's Law
  • Relative Density
  • Archimedes' Principle
  • Principle of Floatation
  • Atmospheric Pressure
  • Application of Pressure

Pressure and Its Principles

What is Pressure?

  • Pressure: Force/Surface Area
  • Directly proportional to the force applied
  • Inversely proportional to the surface area

Hydrostatic Pressure

  • When a liquid is poured into a container, the pressure is exerted at the bottom of the container.
  • Formula:
    • Pressure (P) = Force (F) / Area (A)
    • F = mg (force's mass weight)
    • V (Volume) = A * h (surface area * height)
  • Formula for Liquid Pressure:
    • P = h * ╧Б * g (h - height, ╧Б - density, g - gravitational acceleration)

Pascal's Law

  • When a liquid confined in a container is compressed at any point, the pressure is uniformly distributed.
  • Example: Hydraulic Press
    • f1/a1 = f2/a2 (pressure is the same from the smaller opening to the larger opening)

Archimedes' Principle

  • Balance of pressure displacement and weight
  • Example: Rectangular body and applying pressure with its surface area
  • Weight of displaced liquid is equal to the applied pressure

Relative Density

  • Density: Mass/Volume (╧Б = m/V)
  • Relative Density: Comparison of the density of a substance with that of water

Atmospheric Pressure

  • Gaseous Pressure: Effects of gas and correct measurement
  • ATM pressure at sea level: 1.013 x 10^5 Pascals
  • Relationship between height and ATM pressure

Application of Pressure

  • Water Pumps
  • Use of pressure in various devices