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  4. A flywheel of the moment of inertia 0.4 kg m2 and radius 0.2 m is free to rotate about a central axis. If a string is wrapped around it and it is pulled with a force of 10 N , then its angular velocity after 4 s will be

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Q. A flywheel of the moment of inertia $0.4 \, kg \, m^{2}$ and radius $0.2 \, m$ is free to rotate about a central axis. If a string is wrapped around it and it is pulled with a force of $10 \, N$ , then its angular velocity after $4 \, s$ will be

NTA AbhyasNTA Abhyas 2020System of Particles and Rotational Motion

Solution:

$F \times r=I \alpha=I \frac{\left(\omega_2-\omega_1\right)}{t}$
$\therefore \, \omega _{2}-\omega _{1}=\frac{F \times r \times t}{I}$
$=\frac{10 \times 0.2 \times 4}{0.4}=20 \, rad \, s^{- 1}$