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

$\begin{array}{1 1}(A)\;13\pi\;radian&(B)\;15\pi\;radian\\(C)\;12\pi\;radian&(D)\;\pi\;radian\end{array} $

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  • Angle rotated in 360 revolution =$2\pi$ radians
Angle rotated in one revolution =$2\pi$ radians
$\therefore$ Angle rotated in 360 revolution =$360\times 2\pi$ radians
$\Rightarrow$ Angle turned in one minute or 60 sec=$360\times 2\pi$
Hence angle turned in 1 sec=$\large\frac{360\times 2\pi}{60}$
$\Rightarrow 12\pi$ radians
Hence (C) is the correct answer.
answered Apr 16, 2014 by sreemathi.v

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