A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

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17 π

radian

15 π

radian

13 π

radian

12 π

radian

answer is D.

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Detailed Solution

Given,
Revolutions in 1 minute in 360.
Revolutions in 1 second in

= \frac{360}{60} = 6

(Since 1 minute = 60 second)
The wheel rotates through a 2π -radian angle in one full rotation.
Consequently, it will turn a radian angle in 6 full rotations.
Here,
6 x 2π = 12π
As a result, the wheel makes a 12π -radian turn in one second.
Correct option is 4.

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