A wheel makes 360 revolutions in one minute.
Question:

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

Solution:

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

\thereforeNumber 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

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