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If the polar moment of inertia is increased to four times, then what...

Q.  
If the polar moment of inertia is increased to four times, then what will be the effect on free torsional vibrations of a single rotor system?


Answer & Explanation

In case of torsional vibration,
Fn=(1/2π) * √(GJ / IL)
Where J is polar moment of inertia. Therefore we can say vibration frequency depends on square root of polar moment of inertia. Hence it will increase 2 times.

Thus correct option is: B.

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