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Pressure in fluids - EdexcelCalculating pressure

Every living thing on Earth is in balance with the pressure of the air or water around it. Pressure helps blood to move around the body and allows organisms to breathe.

Part of Physics (Single Science)Forces and matter

Calculating pressure

Pressure is per unit area. Pressure determines the effect of a force on a surface.

Pressure exerted by different shoes

Different styles of shoe can cause different pressures due to their area.

  • Flat shoes spread the force over a large area, reducing the pressure. Snow shoes have a much larger area than feet to spread the force over a larger area and reduce the pressure on the snow - this stops people sinking into the snow.
  • High heeled shoes transfer the force through a much smaller area, causing a much greater pressure. It will hurt more if a person steps on someone鈥檚 foot in high heels than if they were wearing flat shoes. This is also why it hurts so much to accidentally step on a plug or stones barefoot - the force acts on a small area and the pressure is increased.

Calculating pressure in fluids

Liquids and gases are . An object in a fluid experiences a pressure caused by both the fluid itself and the atmospheric pressure.

The pressure in fluids causes a force to a surface. A force that is normal to a surface acts at right angles (90掳) to it. To calculate the pressure at the surface of a fluid use the equation:

\(pressure = \frac{force \: normal \: to \: a \: surface}{area \: of \: that \: surface}\)

\(P = \frac{F}{A}\)

This is when:

  • pressure (P) is measured in pascals (Pa)
  • force (F) is measured in newtons (N)
  • area (A) is measured in metres squared (m2)

Example

A fluid exerts a force of 50 N over an area of 2 m2. Calculate the pressure on the surface.

\(P = \frac{F}{A}\)

\(P = 50 \div 2\)

\(P = 25~Pa\)

Question

A fluid exerts a force of 150 N over an area of 1.2 m2. Calculate the pressure on the surface.