Formula rearrangement and scaling

Formula rearrangement and scaling

Secondary 2
4 marks
TGM Original Questions

If \(T^3=\dfrac{8\pi^2l}{g}\):

  1. make \(l\) the subject[2]
  2. find the percentage increase in \(l\) when \(T\) is tripled.[2]

Assume \(g,T>0\), with \(g\) constant.

Solution:

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Answer:(i) \(l=\dfrac{gT^3}{8\pi^2}\) (ii) \(2600\%\).

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