Question:
The radius of gyration of a circular disc of radius \( R \), rotating about its diameter is:
The radius of gyration of a circular disc of radius \( R \), rotating about its diameter is:
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The radius of gyration represents an equivalent distance from the axis where the total mass of the body could be concentrated to produce the same moment of inertia.
Updated On: Apr 7, 2026
- \( R \)
- \( \frac{R}{2} \)
- \( \frac{R}{4} \)
- \( \frac{R}{\sqrt{12}} \)
- \( \frac{R}{3} \)
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The Correct Option is B
Solution and Explanation
The radius of gyration \( k \) is related to the moment of inertia and mass distribution of the object about the given axis of rotation.
The formula for the radius of gyration of a circular disc rotating about its diameter is: \[ k = \frac{R}{2} \] This result is obtained by considering how mass is spread relative to the axis of rotation.
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