Question

A wheel makes 360 revolutions in 12 minute. Through how many radians does it run in one second *
2π
π
5π
6π​

Answer 1

Answe:

1revolution =2pie

360 revolution =360*2pie=720pi radians

12min=720radians

1sec=720/12*60=72Answer=1pie

Answer 2

Given :- A wheel makes 360° revolutions in 12 minute. Through how many radians does it run in one second *

A) 2π

B) π

C) 5π

D) 6π

Solution :-

As we know that,

• 1 revolution = 360°
• 180° = π radian .

So,

→ 1 revolution = 360°

→ 360 revolution = (360 * 360)°

then,

→ 180° = π radian

→ 1° = (π/180°)

→ (360 * 360)° = (π/180) * (360 * 360) = 720π radian .

Now given,

→ wheel makes revolutions in 12 minutes = 720π radian

then,

→ wheel makes revolutions in 1 minute = (720π/12) = 60π radian .

therefore,

→ wheel makes revolutions in 1 second = (60π/60) = π radian . (Ans. B) .

Hence, wheel runs π radian in 1 second .

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