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if OP makes 4 revolutions in one second, the angular velocity in radians per second is?

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Angular velocity `=frac{text { Distance }}{text { Time }}` `=frac{4 text { revolutions }}{1 text { second }}`

`=frac{4 times 2 pi}{1}`

( `because 1` revolution `=2 pi` radians)

`=8 pi` radians per second

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