Question

The angular velocity of a body changes, from ${{\omega }_{1}}$ to ${{\omega }_{2}}$ without applying torque but by changing moment of inertia. The ratio of initial radius of gyration to the final radius of gyration is :

• A. ${{\omega }_{2}}:{{\omega }_{1}}$
• B. $\omega _{2}^{2}:\omega _{1}^{2}$
• C. $\sqrt{{{\omega }_{2}}}:\sqrt{{{\omega }_{1}}}$
• D. $\frac{1}{{{\omega }_{2}}}:\frac{1}{{{\omega }_{1}}}$

Answer 1

Answer: (C)

$\sqrt{{{\omega }_{2}}}:\sqrt{{{\omega }_{1}}}$

Answer 2

Answer (c) $\sqrt{{{\omega }_{2}}}:\sqrt{{{\omega }_{1}}}$