Question

14. If a wheel makes 360 revolutions in 1 minute, how many radians does it turn in 1
second.​

Answer 1

360 revolutions means 360×2π =720π radians for 1 minute

so for 1 second 720π /60 = 12π radians

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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