Question

If a wheel makes 360 revolutions in one minute, then through how many radians does it turn
in one second
​

Answer 1

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 =

60

360

=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., 12π radian

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

Hope it helps you.

Thanks for asking the question.

Answer 2

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

1 minute = 60 seconds

Number of revolutions in 1 second = 360/60 = 6

Angle made in 1 revolution = 360°

Angles made in 6 revolutions = 6 × 360°

Radian measure of the angle in 6 revolutions = 6 × 360 × π/180

= 6 × 2 × π

= 12π

Hence, the wheel turns 12π radians in one second

Hope It's Helpful.....:)