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Rearranging the pendulum formula

  • mathematics
  • advanced
  • 14-16

Students make a named quantity the subject of T = 2π√(L/g). The five variants ask for g, L, T², π and the ratio L/g, so the same formula exercises dividing, squaring and moving a term out of a square root.

Sample question

The period of a simple pendulum of length L, where g is the acceleration due to gravity, is $$T = 2\pi\sqrt{\frac{L}{g}}$$ Rearrange the formula to make $$L$$ the subject.
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