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| Math Central | Quandaries & Queries |
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Question from Julia: A wheel of a child’s car revolves at 10 rpm. A painted dot on the circumference of the wheel is 12 cm from the centre of rotation of the wheel. How far does the dot travel in 5 s, to one decimal place? |
Hi Julia,
You have time measured in minutes in one place and seconds in another. Let's measure time in seconds in both. Since thee are 60 seconds in a minute the wheel rotates at $\large \frac{10}{60} \normalsize = \large \frac{1}{6}$ revolutions per second. Hence in 5 seconds the dot on the wheel will travel $\large \frac56$ of a revolution. One revolution of the dot is the circumference of a circle of radius 12 cm.
Penny
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