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Firstly, to find out how many radians the wheel turns in one second, we need to understand the relationship between revolutions and radians.
One revolution is equivalent to 2π2π radians. So, if the wheel makes 360 revolutions in one minute, it means it covers 360×2π360×2π radians in one minute.
To convert this into radians per second, we divide by 60 (since there are 60 seconds in a minute):
360×2π60=360π60=6π radians per second60360×2π=60360π=6π radians per second
So, the wheel turns 6π6π radians in one second.
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