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Skill 5 of 11
In Progress

Vector components

With the sine and cosine “standard” invented, we can now more easily say that a jumbo jet requiring $F=10\,000\,\mathrm N$ of force at a certain angle $\theta$, requires 10 000 times more – meaning $F$ times more – than the “standard” in all directions:

  • It requires 10 000 times more force horizontally, in other words $F$ times the “standard’s” horizontal value of $\cos(\theta)$. So, this gives us the horizontal value: $\cos(\theta)F$.
  • And also 10 000 times more vertically: $\sin(\theta)F$.

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References:

  1. Grundlæggende Fysik 1 for Adgangskursus og HTX’ (book, in Danish), Erik Øhlenschlæger, Gyldendalske Boghandel Nordisk Forlag, 4th ed., vol. 1, 2000, books.google.dk/books?id=J19plemsjSEC, ISBN 9788700465343
  2. Sears and Zemansky’s Univesity Physics with Modern Physics’ (book), Hugh D. Young & Roger A. Freedman, Pearson Education, 13th ed., 2012