Question

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

Answer 1

Answer

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.,

12 π radian.

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Answer 2

Wheel turn 12π radians in one seconds.

Step-by-step explanation:

According to the question

Number of revolutions in one minute = 360

{since we know that 1 minute = 60 seconds}

Number of revolutions in one second = 360/60

                                                                = 6

Angle made in 1 revolution = 2π radians

As we know that,

$(radian\ measure = \frac{\pi }{180}\times Degree\ measure$

                                    $\frac{\pi }{180}\times360 = 2\pi)$

Angle made in 6 revolution = 6 x 2π radians

                                              = 12π radians

Hence wheel turn 12π radians in one seconds.