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A wheel makes 360 revolutions per minute...

A wheel makes 360 revolutions per minute. Through how many radians does it turn in 1 second?

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Given that a wheel makes `360` revolutions in `1` minute.

ie a wheel makes` 360` revolutions in `60` seconds.

`therefore text { In } 1 text { second, no. of revolutions }=frac{360}{60}`

`=6 text { revolutions }`

In `1` revolution, the angle made by the wheel `=360^{circ}`

`therefore` Angle made by the wheel in 6 revolutions `=6 times 360^{circ}`

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