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