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AQA A Level Maths: Mechanics復(fù)習(xí)筆記1.1.3 Derived Units

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年7月14日 上午11:15

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

1.1.3_WE_Derived-Units_1-1

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

Exam Tip

  • 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.

 

 

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