Sankey Diagrams (Oxford AQA IGCSE Physics)

Revision Note

Leander Oates

Expertise

Physics

Sankey Diagrams

  • Sankey diagrams can be used to represent energy transfers or energy flow in a system

    • Sankey diagrams are characterised by arrows that split to show the proportions of the energy transfers taking place

  • The different parts of the arrow in a Sankey diagram represent the different energy transfers:

    • The left-hand side of the arrow (the flat end) represents the energy transferred into the system

    • The straight arrow pointing to the right represents the energy that ends up in the desired store; this is the useful energy output

    • The arrows that bend away represent the wasted energy

Features of a Sankey diagram

Features of a Sankey diagram, for IGCSE & GCSE Physics revision notes
Total energy in, useful energy out, and wasted energy are shown on a Sankey diagram
  • The width of each arrow is proportional to the amount of energy being transferred

  • The law of conversation of energy states that:

Total energy in = total energy out 

Total energy in = Useful energy out + Wasted energy

  • A Sankey diagram for a modern efficient light bulb will look very different from that for an old filament light bulb

  • A more efficient light bulb has less wasted energy

    • This is shown by the smaller arrow downwards representing the heat energy

Comparing Sankey diagrams for a filament and an energy efficient bulb

A Sankey diagram for an energy efficient bulb shows a total input energy of 100 J with 75 J transferred by radiation and 25 J transferred by heating. A second Sankey diagram for a filament bulb shows an input energy of 100 J with only 10 J transferred by radiation and 90 J transferred by heating, for IGCSE & GCSE Physics revision notes
Filament bulbs have a much greater proportion of wasted energy than modern energy efficient bulbs

Worked Example

An electric motor is used to lift a weight. The diagram represents the energy transfers in the system.

A Sankey diagram showing an input energy of 500 J with 120 J transferred to the weight, and the remaining energy labelled as wasted energy, for IGCSE & GCSE Physics revision notes

Calculate the amount of wasted energy.

Answer:

Step 1: State the conservation of energy equation

total space energy space in space equals space useful space energy space out space plus space wasted space energy

Step 2: Rearrange the equation for the wasted energy

wasted space energy space equals space total space energy space in space minus space useful space energy space out

Step 3: Substitute the values from the diagram

wasted space energy space equals space 500 space minus space 120

wasted space energy space equals space 380 space straight J

Exam Tip

  • Drawing good Sankey diagrams takes practice

  • It can be difficult to create a diagram that is to scale

  • Start by planning your diagram using graph paper and a ruler:

    • How many squares or mm wide will you make the input arrow?

    • How many squares or mm wide will the useful energy out arrow need to be?

    • How many squares or mm wide must the wasted arrow be?

  • Next, start drawing the diagram one step at a time:

    • Draw the left-hand side of the arrow, along with the line going across the top

    • Next add the useful energy out arrow, making sure it is the correct width

    • Now carefully mark the start and end of the wasted arrow – make sure your marks are the correct distance apart

    • Finally join the markings together, finishing the wasted energy arrow

You've read 0 of your 0 free revision notes

Get unlimited access

to absolutely everything:

  • Downloadable PDFs
  • Unlimited Revision Notes
  • Topic Questions
  • Past Papers
  • Model Answers
  • Videos (Maths and Science)

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

the (exam) results speak for themselves:

Did this page help you?

Leander Oates

Author: Leander Oates

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.