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  4. A wheel rotates with a constant acceleration of 2.0 rad / s 2 If the wheel starts from rest, the number of revolutions it makes in first ten seconds is

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Q. A wheel rotates with a constant acceleration of $2.0\, rad / s ^{2}$ If the wheel starts from rest, the number of revolutions it makes in first ten seconds is

System of Particles and Rotational Motion

Solution:

$\theta=\omega_{0} t+\frac{1}{2} \alpha t^{2}=0+\frac{1}{2} \times 2 \times 10^{2}=100$ radian
No.of revolutions $=\frac{\theta}{2 \pi}=\frac{100}{2 \pi} \simeq 16$