Pressure in a Liquid (CIE IGCSE Physics)

Revision Note

Leander

Author

Leander

Expertise

Physics

Did this video help you?

Liquid pressure

Factors affecting pressure in a liquid

  • The pressure beneath the surface of a liquid will increase with the depth of the liquid
    • This is because the pressure in a liquid is caused by the force of the weight of the liquid above it
    • As the depth increases, there is increasingly more liquid above which causes the pressure to increase
  • Pressure in a liquid also depends on the density of the liquid
    • The more dense the liquid, the greater the pressure it exerts

Pressure in a column of water

  • In a column of water, the highest pressure would be at the bottom
    • If a hole is made at the bottom of the column, the water will pour out with a large force
    • If a hole was made at the top of the column, the water will pour out with a small force
    • This is because of the difference in pressure in the column caused by the weight of the water

Liquid Pressure, downloadable IGCSE & GCSE Physics revision notes

Pressure in a column of water increases with depth, shown by the strong and weak jet of water

  • If several holes were made at the same height, the water would spurt out the same distance from each hole
    • This is because pressure at the same depth acts equally in all directions

Exam Tip

Remember, a fluid can be either a liquid or a gas. In all fluids, pressure is affected by depth and density. This means that, like in liquids, the pressure within gases also changes with depth and density.

Calculating liquid pressure

Extended tier only

  • The pressure acting on an object in a liquid changes with depth
    • The deeper the object then the higher the pressure exerted upon it and vice versa
  • The equation for the pressure difference, at different depths, in a liquid is given by the equation:

straight capital delta p space equals space rho g straight capital delta h

  • Where:
    • Δp = change in pressure, measured in pascals (Pa)
      • Where 1 Pa = 1 N/m2
    • ρ = density of the liquid, measured in kilograms per metre cubed (kg/m3)
    • g = gravitational field strength on Earth, measured in newtons per kilogram (N/kg)
    • Δh = change in height of the column, measured in metres (m)

Pressure in a liquid with a density is applied at a depth 

pressure-in-liquids, IGCSE & GCSE Physics revision notes

The force from the pressure of objects in a liquid is exerted evenly across its whole surface

Worked example

Calculate the depth of water in a swimming pool where a pressure of 20 kPa is exerted. The density of water is 1000 kg/m3 and the gravitational field strength on Earth is 9.8 N/kg.

Answer:

Step 1: List the known quantities

  • Pressure, straight capital delta p space equals space 20 space kPa
  • Density of water, rho space equals space 1000 space kg divided by straight m cubed
  • Gravitational field strength, g space equals space 9.8 space straight N divided by kg

Step 2: List the relevant equation

straight capital delta p space equals space space rho g straight capital delta h

Step 3: Rearrange for height, Δh

straight capital delta h space equals space fraction numerator straight capital delta p over denominator rho g end fraction

Step 4: Convert any units

20 space kPa space equals space 20 space 000 space Pa

Step 5: Substitute in the values

straight capital delta h space equals space fraction numerator 20 space 000 over denominator 1000 space cross times space 9.8 end fraction

straight capital delta h space equals space 2.0408 space equals space 2.0 space straight m

 

Exam Tip

You need to be able to recall the equation for the change in pressure and make sure you are comfortable rearranging it for the variable required in the question!

You've read 0 of your 10 free revision notes

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Did this page help you?

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.