A wheel makes 360 revolutions per minute. Through how many radian… - Vidyadip

Question

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

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Answer

Since A wheel makes 360 revolution in 1 minutes.
wheel will make $\frac{360}{60}$ revolution in 1 secons
That is, 6 revolution in 1 second
Now,
In one revolution the wheel makes 360° angle.
In 6 revolution the wheel makes 360° angle = 2160°
$1^{\circ}=\Big(\frac{\pi}{180}\Big)^{\text{c}}$
$2160^{\circ}=\Big(\frac{2160}{180}\times\pi\Big)^{\circ}$
$=12\pi$

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