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
∴ Number of revolutions made by the wheel in 1 second = \(\frac{360}{60} = 6\)
In one complete revolution, the wheel turns an angle of 2π radian.
Hence, in 6 complete revolutions, it will turn an angle of 6 × 2π radian, i.e.,
12 π radian 

Thus, in one second, the wheel turns an angle of 12π radian.