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  4. A wheel rotates with constant acceleration of 2.0 radian / sec 2. If the wheel starts from rest the number of revolution it makes in the first ten second, will be approximately:

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Q. A wheel rotates with constant acceleration of $2.0$ radian / $\sec ^{2}$. If the wheel starts from rest the number of revolution it makes in the first ten second, will be approximately:

JIPMERJIPMER 2003Motion in a Plane

Solution:

$\theta=\frac{\alpha t^{2}}{2}=\frac{2 \times 100}{2}=100$
$n=\frac{\theta}{2 \pi}=\frac{100}{2 \times 3.14} $
$=15.92 \approx 16$