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Pressure. Solid Pressure

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9.2Pressure. Solid Pressure


In these revision notes for Pressure. Solid Pressure, we cover the following key points:

  • The meaning of pressure
  • Factors affecting the pressure
  • The unit of pressure and its representation in SI units
  • Why pressure is a scalar?

Pressure. Solid Pressure Revision Notes

By definition, "pressure represents the perpendicular force exerted in the unit of area".

The smallest contact area produces the greatest pressure for the same force and vive-versa, i.e. force and area are inversely proportional to each other.

Mathematically, we have

P = F/A

If the force is not perpendicular to the surface, we consider only the normal component to it. Thus, the equation of pressure becomes

P = F × sin θ/A

where θ is the angle formed by the force and the surface direction.

In many cases, the force is already normal to the surface. Therefore, the angle is not written in the formula, as sin 900 = 1.

The unit of pressure is [N / m2] as force is measured in Newtons and area in square metres. This unit is otherwise known as Pascals [Pa].

In the SI system of units,

1 [Pa] = 1[kg/m × s2]

Despite the force is a vector, pressure is a scalar because it acts in all directions. Another factor why pressure is consider as a scalar is the vector meaning sometimes we give to the surface by expressing it through a vector normal to it. Therefore, we have to divide in scalar mode two collinear vectors; force and area whose result gives a scalar, i.e. the pressure.

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