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Q. Moment of inertia of wheel about the axis of 4 rotation is 3 MKS units. Its kinetic energy will be 600 J, if period of rotation is (in seconds)

Bihar CECEBihar CECE 2014System of Particles and Rotational Motion

Solution:

$E =\frac{1}{2} l \omega^{2}$
$\omega=\sqrt{\frac{2 E }{1}}-\sqrt{\frac{2 \times 600}{3}}=20$
$\omega=\frac{2 \pi}{ T }=20 \Rightarrow T =\frac{\pi}{10}$