Solution 4.1:8
From Förberedande kurs i matematik 1
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- | {{ | + | Because the wheel's circumference is |
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- | {{ | + | {{Displayed math||<math>2\pi\cdot\text{(radius)} = 2\pi\cdot 0\textrm{.}5\ \text{metres} = \pi\ \text{metres}</math>}} |
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+ | the wheel turns <math>\pi</math> metres on each revolution, and in 10 metres the wheel therefore turns | ||
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+ | {{Displayed math||<math>\frac{10\ \text{metres}}{\pi\ \text{metres}} = \frac{10}{\pi }\ \textrm{revolutions}\approx 3\textrm{.}2\ \textrm{revolutions.}</math>}} |
Current revision
Because the wheel's circumference is
\displaystyle 2\pi\cdot\text{(radius)} = 2\pi\cdot 0\textrm{.}5\ \text{metres} = \pi\ \text{metres} |
the wheel turns \displaystyle \pi metres on each revolution, and in 10 metres the wheel therefore turns
\displaystyle \frac{10\ \text{metres}}{\pi\ \text{metres}} = \frac{10}{\pi }\ \textrm{revolutions}\approx 3\textrm{.}2\ \textrm{revolutions.} |