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

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A wheel makes 360 revolutions in one minute. Through how many radians

does it turn in one second?

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

∴Number of revolutions made by the wheel in 1 second = 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.,

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