Derived Units (Edexcel A Level Maths) : Revision Note

Did this video help you?

Derived Units

What are derived units?

  • Derived units for quantities such as velocity, acceleration and force etc. are combinations of S.I. units

    • Speed or Velocity = distance ÷ time = m/s or m s-1 (Velocity is just speed with direction)

    • Acceleration = velocity ÷ time = ms-1 /s = m/s2 or m s-2

    • Weight or Force = mass x acceleration = kg m s-2 or N (N = Newtons)

1-1-3-diagram-1

Worked Example

a) Convert the following into S.I. units

i) 72 km h-2                    ii)   50 cm per minute                   iii)   14 g cm-3      

1-1-3-worked-solution-a

 

b) A cyclist takes 15 minutes to travel 2.54 km. Calculate the average speed in m s-1?

1-1-3-worked-solution-b

Examiner Tips and Tricks

  • Watch out for exam questions using non S.I. units such as feet and inches or miles per hour.

  • Make sure you are confident converting between these derived units,

  • Remember speed is velocity without direction and weight is a force measured in Newtons, not a mass measured in kg.

  • If you ever forget a formula, use the units it is measured in to figure it out,

  • e.g. m/s = metres ÷ seconds = distance ÷ time = velocity.

👀 You've read 1 of your 5 free revision notes this week
An illustration of students holding their exam resultsUnlock more revision notes. It's free!

By signing up you agree to our Terms and Privacy Policy.

Already have an account? Log in

Did this page help you?

Amber

Author: Amber

Expertise: Maths Content Creator

Amber gained a first class degree in Mathematics & Meteorology from the University of Reading before training to become a teacher. She is passionate about teaching, having spent 8 years teaching GCSE and A Level Mathematics both in the UK and internationally. Amber loves creating bright and informative resources to help students reach their potential.

Download notes on Derived Units