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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीA wheel starts from rest and rotates with a constant angular acceleration of \( 4\pi\text{ rad/s}^2 \). The total number of revolutions completed by the wheel in the first \( 16\text{ seconds} \) is:
Correct answer · Option 3
\( 256 \)
Explanation
\( \theta = \frac{1}{2}\alpha t^2 = \frac{1}{2}(4\pi)(16)^2 = 512\pi\text{ rad} \). Total revolutions \( n = \frac{\theta}{2\pi} = \frac{512\pi}{2\pi} = 256 \).
