Question

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

Answer 1

I full rotation is 2π radians
The wheel rotates 360 times in a minute
So 6 times in a second
So it will rotate 12π radians in a second.

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.....:)