4.9.4

Pressure

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Pressure

Pressure is the force per unit of area.

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Force on container

  • In fluids (liquids or gases), the particles collide with the walls of their container.
  • The particle exerts a force on the container and the container exerts a force on the particle.
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Force at right angles

  • The force exerted on the surface in contact with the fluid particle will be at the normal to the surface (at right angles).
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Equation

  • Pressure is defined as the force divided by the area perpendicular to the force over which the force is applied, or:
    • P=FAP = \frac{F}{A}
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Units

  • The SI unit for pressure is the pascal, where:
    • 1 Pa = 1 N/m2.

Variation of Pressure with Depth

If your ears have ever popped on a plane flight or ached during a deep dive in a swimming pool, you have experienced the effect of depth on the pressure of a fluid.

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Pressure due to the weight of a fluid

  • The pressure exerted on the bottom of a container by the weight of the fluid is:
    • P=mgAP = \frac{mg}{A}
  • We can find the mass of the fluid from its volume and density:
    • m=ρVm = \rho V
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Pressure due to the weight of a fluid

  • The volume of the fluid is equal to V=AhV=Ah, where AA is the cross-sectional area and hh is the depth.
  • Substituting the equations for mass and volume into the pressure equation gives:
    • P=hρgP= h\rho g
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Atmospheric pressure

  • Atmospheric pressure is another example of pressure due to the weight of a fluid that is due to the weight of air above a given height.
  • The atmospheric pressure at the Earth's surface varies a little due to the large-scale flow of the atmosphere induced by the Earth's rotation.
  • However, the average pressure at sea level is given by the standard atmospheric pressure PatmP_{atm}.
    • PatmP_{atm} = 1 atmosphere = 1.01 × 105 N/m2 = 101 kPa

Jump to other topics

1Principles of Science I

1.1Structure & Bonding

1.2Properties of Substances

1.3Cell Structure & Function

1.4Cell Specialisation

1.5Tissue Structure & Function

1.6Working with Waves

1.7Waves in Communication

2Practical Scientific Procedures and Techniques

3Science Investigation Skills

4Principles of Science II

4.1Extracting Elements

4.2Relating Properties to use of Substances

4.3Organic Chemistry

4.4Energy Changes in Industry

4.5The Circulatory System

4.6Ventilation & Gas Exchange

4.7Urinary System

4.8Cell Transport

4.9Thermal Physics

4.10Materials

4.11Fluids

5Contemporary Issues in Science

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