Question:
If the mass and the radius of a solid sphere are 0.22 kg and \( 20\sqrt{5}\,{cm} \), then its radius of gyration about its diameter is
If the mass and the radius of a solid sphere are 0.22 kg and \( 20\sqrt{5}\,{cm} \), then its radius of gyration about its diameter is
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Use radius of gyration formula for a solid sphere about diameter: \( K = R\sqrt{2/5} \)
Updated On: Jun 3, 2025
- \( 20\sqrt{3}\,{cm} \)
- \( 20\sqrt{2}\,{cm} \)
- \( 40\sqrt{2}\,{cm} \)
- \( 20\sqrt{5}\,{cm} \)
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The Correct Option is B
Solution and Explanation
Radius \( R = 20\sqrt{5}\,{cm} \)
For a solid sphere about diameter: \( K = R\sqrt{\frac{2}{5}} \)
\( K = 20\sqrt{5} \cdot \sqrt{\frac{2}{5}} = 20\sqrt{2}\,{cm} \)
For a solid sphere about diameter: \( K = R\sqrt{\frac{2}{5}} \)
\( K = 20\sqrt{5} \cdot \sqrt{\frac{2}{5}} = 20\sqrt{2}\,{cm} \)
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