Question

A wheel make 360 revolution in one minute. Through how many radians it turn in one second.​

Answer 1

Answer:

hi here is your answer

Step-by-step explanation:

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

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

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Answer 2

12 $\pi$ Radians

Given:

The number of revolutions the wheel makes in one min = 360

Calculating the number of revolutions in 1 second

= No of revolutions in one min / 60

= 360 / 60

= 6

We know that the angle made in one revolution = 360 Degrees

Calculating the angle which is made in 6 revolutions:

= 6 x 360

Formula used to find radian measure:

= pi/180 x Degree Measure

Finding the Radian measure in 6 revolutions by using the formula above:

= pi/180 x 6 x 360

= pi x 6 x 2

= 12$\pi$

Therefore, it makes 12$\pi$ Radians in one second.