Dimensional Analysis (AQA A-Level Further Maths): Quizzes

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Dimensional Analysis
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What are the two main purposes of dimensional analysis?

Checking formulas & building formulas

What do the symbols MM, LL, and TT represent in dimensional analysis?

Mass, Length, Time

How should dimensions of a quantity be written in dimensional analysis?

Using square brackets: [v]=LT1[v] = LT^{-1}

Which of these is dimensionless in dimensional analysis?

Angles in radians

What are the dimensions of speed (distance per time)?

LT1LT^{-1}

What are the dimensions of energy, derived from KE=12mv2KE = \frac{1}{2}mv^2?

ML2T2ML^2T^{-2}

What does it mean for a formula to be dimensionally consistent?

All added/subtracted terms have same dims

What are the dimensions of acceleration (e.g., gg)?

LT2LT^{-2}

For pendulum period t=klgt = k\sqrt{\frac{l}{g}}, what does dimensional analysis show about mass?

Period doesn't depend on mass (x=0x=0)

What is the key difference between dimensions and units?

Dims are types; units are measurements

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