what do you understand by 'radius of gyration'? calculate the radius of gyration of a hoop of radius 5.00cm rotating about an axis passing through its centre and normal to its plane.
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Answer:
radius of gyration of a hoop √35 cm
Explanation:
The radius of gyration of a hoop of radius 5.00 cm rotating about an axis passing through its centre and normal to its plane.
I(tangent) = 2/5 Ma² + MR²
∴ I(tangent) = 7/5 MR²
∴ Mk² = 7/5 MR²
∴ k = √(7/5 x 5² = √35 cm
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Radius of gyration or gyradius of a body about an axis of rotation is defined as the radial distance of a point ,from the axis of rotation at which, if whole mass of the body is assumed to be concentrated, its moment of inertia about the given axis would be the same as with its actual distribution of mass.
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