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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

A rigid body rotates about a fixed axis. If its angular velocity changes with time according to \( \omega(t) = 3t^2 + 4t + 2\text{ rad/s} \), the angular acceleration of the body at \( t = 2\text{ s} \) is:

  1. \( 22\text{ rad/s}^2 \)
  2. \( 16\text{ rad/s}^2 \)
  3. \( 12\text{ rad/s}^2 \)
  4. \( 8\text{ rad/s}^2 \)

Correct answer · Option 2

\( 16\text{ rad/s}^2 \)

Explanation

Angular acceleration \( \alpha = \frac{d\omega}{dt} = 6t + 4 \). At \( t = 2\text{ s} \), \( \alpha = 6(2) + 4 = 16\text{ rad/s}^2 \).
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