Question

a wheel makes 360 revolutions in 1 minute.trough how many radians does it turn in 1 second

Answer 1

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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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.....:)