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  4. The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in rad / s 2 is :

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Q. The angular speed of a fly wheel moving with uniform angular acceleration changes from $1200 \,rpm$ to $3120\, rpm$ in $16$ seconds. The angular acceleration in $rad / s ^{2}$ is :

NEETNEET 2022System of Particles and Rotational Motion

Solution:

$\omega =\omega_{0}+\alpha t $
$ \alpha =\frac{\omega-\omega_{0}}{ t } $
$=\frac{(3120-1200)}{16 s } rpm $
$=\frac{1920}{16} \times \frac{2 \pi}{60} rad / s ^{2}$
$=4 \pi rad / s ^{2} $