Formula rearrangement and scaling

Formula rearrangement and scaling

Secondary 2
TGM Original Questions
  1. Given \(mv=\frac{4p^2-3q}{p^2}\), express \(p\) in terms of \(m,v,q\).
  2. If \(T^3=\frac{8\pi^2l}{g}\):
    1. make \(l\) the subject
    2. find the percentage increase in \(l\) when \(T\) is tripled.

Solution:

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Answer:(a) \(p=\pm\sqrt{\frac{3q}{4-mv}}\); (b)(i) \(l=\frac{gT^3}{8\pi^2}\); (ii) \(2600\%\).

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