Question

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

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Answer 1

Answer:

see, in one minute it makes 360 revolution so in 1 second it will make=360/60=6revolution

and 6 revolution means it turns 6 *360 degree

and 360degree=2pie radians

so total radian =2pie*6=12pie

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

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