Solution 4.1:8

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m (Lösning 4.1:8 moved to Solution 4.1:8: Robot: moved page)
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Because the wheel's circumference is
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<center> [[Image:4_1_8.gif]] </center>
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<math>2\pi \centerdot </math>
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radius metres metres
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the wheel turns
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<math>\pi </math>
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metres on each revolution, and in
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<math>\text{1}0</math>
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metres the wheel therefore turns
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<math>\frac{10\ \text{metres}}{\pi \ \text{metres}}=\frac{10}{\pi }\approx 3.2</math>
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revolutions

Revision as of 12:23, 27 September 2008

Because the wheel's circumference is


\displaystyle 2\pi \centerdot radius metres metres

the wheel turns \displaystyle \pi metres on each revolution, and in \displaystyle \text{1}0 metres the wheel therefore turns


\displaystyle \frac{10\ \text{metres}}{\pi \ \text{metres}}=\frac{10}{\pi }\approx 3.2 revolutions

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