Chapter: Rotational Dynamics· Physics

What is the radius of gyration of a solid sphere of radius R about its diameter?

Q.2 (i) What is the radius of gyration of a solid sphere of radius R about its diameter?

Doubtly Asked 29 Oct 2026 Board exam · July 2024 hsc 12th Save WhatsApp Report

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Answer: \(K = \sqrt{\dfrac{2}{5}}\,R \approx 0.632\,R\)

\(I = \dfrac{2}{5}MR^2 = MK^2\), so \(K^2 = \dfrac{2}{5}R^2\) and \(K = \sqrt{\dfrac{2}{5}}\,R\).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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