Pressure & Forces (CIE IGCSE Physics)

Revision Note

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Pressure

What is pressure?

  • Pressure is defined as

The force per unit area

  • Pressure is measured in pascals (Pa)
    • 1 pascal is equivalent to 1 newton per metre squared
    • 1 Pa = 1 N/m2
  • It can be calculated using the following pressure equation:

pressure space equals fraction numerator space force over denominator area end fraction

p space equals fraction numerator space F over denominator A end fraction

  • Where:
    • p = pressure measured in pascals (Pa) or newtons per metre (N/m2)
    • F = force measured in newtons (N)
    • A = area measured in metres squared (m2)
  • This equation can be rearranged with the help of a formula triangle:Pressure triangle (2), IGCSE & GCSE Physics revision notes

A formula triangle can help rearrange the pressure equation

  • For more information on how to use a formula triangle refer to the revision note on speed & velocity
  • This equation tells us that:
    • If a force is spread over a large area it will result in a small pressure
    • If it is spread over a small area it will result in a large pressure

Examples of applications of pressure

  • Example 1: Tractors
    • Tractors have large tyres
    • This spreads the weight (force) of the tractor over a large area
    • This reduces the pressure which prevents the heavy tractor from sinking into the mud

  • Example 2: Drawing pins
    • Drawing pins have sharp pointed ends with a very small area
    • This concentrates the force, creating a large pressure over a small area
    • This allows the drawing pin to be pushed into a wall

Applying a force to a drawing pin

drawing-pin, IGCSE & GCSE Physics revision notes

When you push a drawing pin, it goes into the surface (rather than your finger)

  • Example 3: High heels
    • High heels have small, sharp points with a small area
    • This concentrates the weight (force), creating a large pressure over a small area
    • Flat shoes have a larger area which the weight (force) is spread over resulting in a lower pressure
    • This explains why high heels sink into soft surfaces more easily than flat shoes

The effect of surface area on pressure

Pressure on different areas, downloadable AS & A Level Physics revision notes

High heels produce a higher pressure on the ground because of their smaller area, compared to flat shoes

Worked example

The diagram below shows the parts of the lifting machine used to move the platform up and down.Pressure Worked Example GCSE, downloadable IGCSE & GCSE Physics revision notesThe pump creates pressure in the liquid of 5.28 × 105 Pa to move the platform upwards.

Calculate the force that the liquid applies to the piston.

 

Answer:

Step 1: List the known quantities

  • Cross-sectional area = 2.73 × 10-2 m2
  • Pressure = 5.28 × 105 Pa

Step 2: Write down the relevant equation

p equals space F over A

Step 3: Rearrange for the force, F

F space equals space p space cross times space A

Step 4: Substitute the values into the equation

F space equals space left parenthesis 5.28 space cross times space 10 to the power of 5 right parenthesis space cross times space left parenthesis 2.73 space cross times space 10 to the power of negative 2 end exponent right parenthesis space equals space 14 space 414.4

Step 5: Round to the appropriate number of significant figures and quote the correct unit

F space equals space 14 space 400 space N space equals space 14.4 space kN space left parenthesis 3 space straight s. straight f right parenthesis

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Leander

Author: Leander

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.