Calculating pressure
Pressure is forceA push or a pull. The unit of force is the newton (N). 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 fluidA substance that can flow, such as a liquid or a gas.. 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 normalActing at an angle of 90掳 to a surface or boundary. 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.
\(p = \frac{F}{A}\)
\(P = 150 \div 1.2\)
\(P = 125~Pa\)