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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीA rigid body rotates about a fixed axis with an angular speed \( \omega \). A particle \( P_1 \) is at a perpendicular distance \( r_1 = 0.2\text{ m} \) from the axis, and another particle \( P_2 \) is at a perpendicular distance \( r_2 = 0.6\text{ m} \) from the axis. If the linear velocity of \( P_1 \) is \( 4\text{ m/s} \), the centripetal acceleration of \( P_2 \) is:
Correct answer · Option 3
\( 240\text{ m/s}^2 \)
Explanation
\( \omega = v_1 / r_1 = 4 / 0.2 = 20\text{ rad/s} \). All particles in rigid rotation have the same \( \omega \). Centripetal acceleration of \( P_2 \) is \( a_c = \omega^2 r_2 = (20)^2 \times 0.6 = 400 \times 0.6 = 240\text{ m/s}^2 \).
