QUESTION

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

Number of revolutions made by the wheel in 1 second$= \dfrac{{360}}{{60}} = 6$ revolutions.
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 at an angle of $12\pi$ radian.