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The radius of gyration of a disc of mass 100 gm and radius 5 cm about an axis passing through its centre of gravity and perpendicular to the plane is (a) 0.5 cm (b) 2.5 cm (c) 3.54 cm (d) 6.54 cm

The radius of gyration of a disc of mass 100 gm and radius 5 cm about an axis passing through its centre of gravity and perpendicular to the plane is
(a) 0.5 cm (b) 2.5 cm
(c) 3.54 cm (d) 6.54 cm

Grade:Upto college level

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
2 years ago
576-1905_1.PNG
Vikas TU
14149 Points
2 years ago
the moment of inertia of a disc passing thrugh the centre of the axis is given by
i=mr^2/2
I=100*25/2
i=50*25
i=1250
radius of gyration is given by k=under root i/m
therefore the radius of a gyration is
k=under root 1250/100
k=under root 12.5
 

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