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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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A constant torque is acting on a wheel. If starting from rest, the wheel makes nn rotations in tt second, the angular acceleration α=\alpha=
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Correct option: A
4πnt2 rad s−2\frac{4 \pi n}{t^2} \mathrm{~rad} \mathrm{~s}^{-2}
Option A (4πnt2 rad s−2\frac{4 \pi n}{t^2} \mathrm{~rad} \mathrm{~s}^{-2}) is correct because it is derived from the rotational kinematic equation θ=ω0t+12αt2\theta = \omega_0 t + \frac{1}{2} \alpha t^2, where θ=2πn\theta = 2 \pi n and ω0=0\omega_0 = 0.

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