Question

Calculate the radius of gyration for a solid sphere about an axis of diamtere with radius 5 cm and mass 5 kg

Answer 1

Answer:

Explanation:

Let 'K' be the radius of gyration

'I' be the moment if inertia of sphere about an axis through diameter

'R be the radius of sphere

R = 5 cm = 5 * 10^-2 m

We know that

I = (MR^2)2/5

K = √(I/M)

= √[2(MR^2)/5M]

= √[2R^2/5]

= √[2*(5*10^-2)/5]

= √[2*25/5] * 10^-2 m

= √10 * 10^-2 m

K = √10 cm

Therefore radius of gyration is √10 cm