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  4. A wheel starting from rest gains an angular velocity of 10 rad/s after uniformly accelerated for 5 sec. The total angle through which it has turned is

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Q. A wheel starting from rest gains an angular velocity of $10$ rad/s after uniformly accelerated for $5$ sec. The total angle through which it has turned is

KCETKCET 2020

Solution:

$\omega_{1}=0$
$\omega_{2}=10 \frac{ rad }{ sec } t=5 \,sec$
$\theta=\frac{\omega_{1}+\omega_{2}}{2} \times t$
$=\frac{10}{2} \times 5=25 \,rad$