Question

A wheel makes 360 revolutions in one minute through how many radians does it turn in one second

Answer 1

360 revolution in 60 seconds
it means 6 revolution in 1 second

since 1 revolution is equal to 2π.
therefore 6 revolution = 6×2π = 12π

hence in one second it turns by 12π radian.

Answer 2

To Find :

how many radians does the wheel turn in 1

second.

Solution :

In 1 Minute wheel makes 360 revolutions

and 1 minute = 60seconds

So, we can also say that In 60 seconds wheel makes 360 revolutions.

In 1 second Wheel makes

= 360/60

= 36/6

= 6 revolutions

we know that,

1π radian = 180°

So, 2π radian = 360

In 1 second Wheel turns in 6 × 2π = 12 π radian

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