A wheel makes \(360\) revolutions per minute. Through how many radians does it turn in \(1\) second?
Solution:
Number of revolutions per minute:
\[ 360 \]
Number of revolutions per second:
\[ \frac{360}{60}=6 \]
One complete revolution equals:
\[ 2\pi \text{ radians} \]
Therefore, angle turned in \(1\) second:
\[ 6\times2\pi \]
\[ 12\pi \text{ radians} \]
Hence, the wheel turns through:
\[ \boxed{12\pi \text{ radians}} \]