Question

A wheel makes $360$ revolutions in one minute. Through how many radians does it turn in one second?

Answer 1

Number of revolutions made by the wheel in 1 minute $=360$

$\therefore$ Number of revolutions made by the wheel in 1 second $=\frac{360}{60}=6$

In one complete revolution, the wheel turns an angle of $2\pi$ radian.

Hence, in 6 complete revolutions, it will turn an angle of $6\times 2\pi$ radian, i.e., $12\pi$ radian

Thus, in one second, the wheel turns an angle of $12\pi$ radian.