Q. A body of moment of inertia of $3\ kg$-$m^{2}$ rotating with an angular velocity of $2\ rad/sec$ has the same kinetic energy as a mass of $12\ kg$ moving a velocity of
A) $8\ m/s$
B) $0.5\ m/s$
C) $2\ m/s$
D) $1\ m/s$
Explanation
(d) $\frac{1}{2}I\omega^{2} = \frac{1}{2}mv^{2} \Rightarrow \frac{1}{2} \times 3 \times (2)^{2} = \frac{1}{2} \times 12 \times v^{2}$
$\Rightarrow v = 1m/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.