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Question
A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?
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Solution
Number of revolutions taken by the wheel in 1 minute = 360
\[\text{ Number of revolutions taken by the wheel in 1 second }= \frac{360}{60} = 6\]
We know:
\[\text{ 1 revolution }= 2\pi \text{ radians }\]
\[ \therefore \text{ Number of radians the wheel will turn in 1 second }= 6 \times 2\pi = 12\pi \]
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