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  4. A wheel rotating at 12 revolution per second is brought to rest in 6 s. The average angular deceleration in rad/s2 of the wheel during this process is

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Q. A wheel rotating at $12$ revolution per second is brought to rest in $6\,s$. The average angular deceleration in $rad/s^2$ of the wheel during this process is

KEAMKEAM 2017System of Particles and Rotational Motion

Solution:

$W_{1}^{0}=12 \times 2 \pi \frac{ rad }{s} $
$=24 \pi \frac{ rad }{s} $
$W_{f} =0 $
$\Delta t =6 s $
As $W_{f} =W_{i}+\alpha \Delta t $
We have, $\alpha =\frac{-W_{i}}{\Delta t} $
$=-\frac{24 \pi}{6} $
$=-4 \pi \frac{ rad }{ Sec ^{2}} $